# A Relaxation-Based Approach to Optimal Control of Hybrid and Switched Systems

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## A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems

Author | : Vadim Azhmyakov |

Publsiher | : Butterworth-Heinemann |

Total Pages | : 434 |

Release | : 2019-02-14 |

ISBN 10 | : 012814789X |

ISBN 13 | : 9780128147894 |

Language | : EN, FR, DE, ES & NL |

**A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems Book Review:**

A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems proposes a unified approach to effective and numerically tractable relaxation schemes for optimal control problems of hybrid and switched systems. The book gives an overview of the existing (conventional and newly developed) relaxation techniques associated with the conventional systems described by ordinary differential equations. Next, it constructs a self-contained relaxation theory for optimal control processes governed by various types (sub-classes) of general hybrid and switched systems. It contains all mathematical tools necessary for an adequate understanding and using of the sophisticated relaxation techniques. In addition, readers will find many practically oriented optimal control problems related to the new class of dynamic systems. All in all, the book follows engineering and numerical concepts. However, it can also be considered as a mathematical compendium that contains the necessary formal results and important algorithms related to the modern relaxation theory. Illustrates the use of the relaxation approaches in engineering optimization Presents application of the relaxation methods in computational schemes for a numerical treatment of the sophisticated hybrid/switched optimal control problems Offers a rigorous and self-contained mathematical tool for an adequate understanding and practical use of the relaxation techniques Presents an extension of the relaxation methodology to the new class of applied dynamic systems, namely, to hybrid and switched control systems

## Hybrid Systems Computation and Control

Author | : Magnus Egerstedt,Bud Mishra |

Publsiher | : Springer |

Total Pages | : 684 |

Release | : 2008-07-18 |

ISBN 10 | : 3540789294 |

ISBN 13 | : 9783540789291 |

Language | : EN, FR, DE, ES & NL |

**Hybrid Systems Computation and Control Book Review:**

This volume contains the proceedings ofthe 11th Workshop on Hybrid Systems: Computation and Control (HSCC 2008) held in St. Louis, Missouriduring April 22–24,2008.The annual workshop on hybrid systems focuses on researchin - bedded,reactivesystemsinvolvingtheinterplaybetweensymbolic/switchingand continuous dynamical behaviors. HSCC attracts academic as well as industrial researchers to exchange information on the latest developments of applications and theoretical advancements in the design, analysis, control, optimization, and implementation of hybrid systems, with particular attention to embedded and networked control systems. New for this year was that HSCC was part of the inaugural CPSWEEK (Cyber-Physical Systems Week) – a co-located cluster of three conferences: HSCC, RTAS (Real-Time and Embedded Technology and Applications Sym- sium), and IPSN (International Conference on Information Processing in Sensor Networks). The previous workshops in the series of HSCC were held in Berkeley, USA (1998),Nijmegen,TheNetherlands(1999),Pittsburgh,USA(2000),Rome,Italy (2001), Palo Alto, USA (2002), Prague, Czech Republic (2003), Philadelphia, USA (2004),Zurich, Switzerland (2005) , Santa Barbara,USA (2006), and Pisa, Italy (2007). We would like to thank the Program Committee members and the reviewers for an excellent job of evaluating the submissions and participating in the online Program Committee discussions. We are grateful to the Steering Committee for their helpful guidance and support. We would also like to thank Patrick Martin for putting together these proceedings, and Jiuguang Wang for developing and maintaining the HSCC 2008 website. January 2008 Magnus Egerstedt Bud Mishra Organization HSCC 2008 was technically co-sponsored by the IEEE Control Systems Society and organized in cooperation with ACM/SIGBED.

## Hybrid Systems Computation and Control

Author | : Rajeev Alur,George Pappas |

Publsiher | : Springer Science & Business Media |

Total Pages | : 674 |

Release | : 2004-03-12 |

ISBN 10 | : 3540212590 |

ISBN 13 | : 9783540212591 |

Language | : EN, FR, DE, ES & NL |

**Hybrid Systems Computation and Control Book Review:**

This book constitutes the refereed proceedings of the 7th International Workshop on Hybrid Systems: Computation and Control, HSCC 2004, held in Philadelphia, PA, USA, in March 2004. The 43 revised full papers presented together with an invited article were carefully reviewed and selected from 117 submissions. The papers address all current issues in hybrid systems such as tools for analysis and verification, control and optimization, modeling and engineering applications, and emerging topics in programming language support and implementation; a special focus is on the interplay between biomolecular networks, systems biology, formal methods, and control of hybrid systems.

## Mathematics Across Contemporary Sciences

Author | : Taher Abualrub,Abdul Salam Jarrah,Sadok Kallel,Hana Sulieman |

Publsiher | : Springer |

Total Pages | : 259 |

Release | : 2017-01-22 |

ISBN 10 | : 3319463101 |

ISBN 13 | : 9783319463100 |

Language | : EN, FR, DE, ES & NL |

**Mathematics Across Contemporary Sciences Book Review:**

This work presents invited contributions from the second "International Conference on Mathematics and Statistics" jointly organized by the AUS (American University of Sharjah) and the AMS (American Mathematical Society). Addressing several research fields across the mathematical sciences, all of the papers were prepared by faculty members at universities in the Gulf region or prominent international researchers. The current volume is the first of its kind in the UAE and is intended to set new standards of excellence for collaboration and scholarship in the region.

## Hybrid Systems Computation and Control

Author | : Alberto Bemporad,Giorgio C Buttazzo,Antonio Bicchi |

Publsiher | : Springer |

Total Pages | : 797 |

Release | : 2007-05-31 |

ISBN 10 | : 3540714936 |

ISBN 13 | : 9783540714934 |

Language | : EN, FR, DE, ES & NL |

**Hybrid Systems Computation and Control Book Review:**

This book constitutes the refereed proceedings of the 10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007, held in Pisa, Italy in April 2007. Among the topics addressed are models of heterogeneous systems, computability and complexity issues, real-time computing and control, embedded and resource-aware control, control and estimation over wireless networks, and programming languages support and implementation.

## Switching in Systems and Control

Author | : Daniel Liberzon |

Publsiher | : Springer Science & Business Media |

Total Pages | : 233 |

Release | : 2012-12-06 |

ISBN 10 | : 1461200172 |

ISBN 13 | : 9781461200178 |

Language | : EN, FR, DE, ES & NL |

**Switching in Systems and Control Book Review:**

The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers. This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. It includes a vast bibliography and a section of technical and historical notes.

## Calculus of Variations and Optimal Control Theory

Author | : Daniel Liberzon |

Publsiher | : Princeton University Press |

Total Pages | : 235 |

Release | : 2012 |

ISBN 10 | : 0691151873 |

ISBN 13 | : 9780691151878 |

Language | : EN, FR, DE, ES & NL |

**Calculus of Variations and Optimal Control Theory Book Review:**

This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control

## Switched Linear Systems

Author | : Zhendong Sun |

Publsiher | : Springer Science & Business Media |

Total Pages | : 288 |

Release | : 2006-03-30 |

ISBN 10 | : 1846281318 |

ISBN 13 | : 9781846281310 |

Language | : EN, FR, DE, ES & NL |

**Switched Linear Systems Book Review:**

Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.

## International Aerospace Abstracts

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1999 |

ISBN 10 | : |

ISBN 13 | : STANFORD:36105021811372 |

Language | : EN, FR, DE, ES & NL |

**International Aerospace Abstracts Book Review:**

## The Koopman Operator in Systems and Control

Author | : Alexandre Mauroy,Igor Mezić,Yoshihiko Susuki |

Publsiher | : Springer Nature |

Total Pages | : 556 |

Release | : 2020-02-22 |

ISBN 10 | : 3030357139 |

ISBN 13 | : 9783030357139 |

Language | : EN, FR, DE, ES & NL |

**The Koopman Operator in Systems and Control Book Review:**

This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem. After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts: theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification; data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control. A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.

## Nonlinear Model Predictive Control

Author | : Lalo Magni,Davide Martino Raimondo,Frank Allgöwer |

Publsiher | : Springer Science & Business Media |

Total Pages | : 576 |

Release | : 2009-05-25 |

ISBN 10 | : 3642010938 |

ISBN 13 | : 9783642010934 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Model Predictive Control Book Review:**

Over the past few years significant progress has been achieved in the field of nonlinear model predictive control (NMPC), also referred to as receding horizon control or moving horizon control. More than 250 papers have been published in 2006 in ISI Journals. With this book we want to bring together the contributions of a diverse group of internationally well recognized researchers and industrial practitioners, to critically assess the current status of the NMPC field and to discuss future directions and needs. The book consists of selected papers presented at the International Workshop on Assessment an Future Directions of Nonlinear Model Predictive Control that took place from September 5 to 9, 2008, in Pavia, Italy.

## Handbook of Hybrid Systems Control

Author | : Jan Lunze,Françoise Lamnabhi-Lagarrigue |

Publsiher | : Cambridge University Press |

Total Pages | : 565 |

Release | : 2009-10-15 |

ISBN 10 | : 0521765056 |

ISBN 13 | : 9780521765053 |

Language | : EN, FR, DE, ES & NL |

**Handbook of Hybrid Systems Control Book Review:**

Setting out core theory and reviewing a range of new methods, theoretical problems and applications, this handbook shows how hybrid dynamical systems can be modelled and understood. Sixty expert authors involved in the recent research activities and industrial application studies provide practical insights on topics ranging from the theoretical investigations over computer-aided design to applications in energy management and the process industry. Structured into three parts, the book opens with a thorough introduction to hybrid systems theory, illustrating new dynamical phenomena through numerous examples. Part II then provides a survey of key tools and tool integration activities. Finally, Part III is dedicated to applications, implementation issues and system integration, considering different domains such as industrial control, automotive systems and digital networks. Three running examples are referred to throughout the book, together with numerous illustrations, helping both researchers and industry professionals to understand complex theory, recognise problems and find appropriate solutions.

## Optimization of Complex Systems Theory Models Algorithms and Applications

Author | : Hoai An Le Thi,Hoai Minh Le,Tao Pham Dinh |

Publsiher | : Springer |

Total Pages | : 1152 |

Release | : 2019-06-15 |

ISBN 10 | : 3030218031 |

ISBN 13 | : 9783030218034 |

Language | : EN, FR, DE, ES & NL |

**Optimization of Complex Systems Theory Models Algorithms and Applications Book Review:**

This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming and DCA, Discrete optimization & Network optimization, Multiobjective programming, Optimization under uncertainty, or models and optimization methods in a specific application area including Data science, Economics & Finance, Energy & Water management, Engineering systems, Transportation, Logistics, Resource allocation & Production management. The researchers and practitioners working in Nonconvex Optimization and several application areas can find here many inspiring ideas and useful tools & techniques for their works.

## Dissertation Abstracts International

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2008 |

ISBN 10 | : |

ISBN 13 | : STANFORD:36105133522040 |

Language | : EN, FR, DE, ES & NL |

**Dissertation Abstracts International Book Review:**

## Handbook of Differential Equations Evolutionary Equations

Author | : C.M. Dafermos,Milan Pokorny |

Publsiher | : North Holland |

Total Pages | : 608 |

Release | : 2008-10-20 |

ISBN 10 | : 9780444530349 |

ISBN 13 | : 0444530347 |

Language | : EN, FR, DE, ES & NL |

**Handbook of Differential Equations Evolutionary Equations Book Review:**

The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE's, written by leading experts. - Review of new results in the area - Continuation of previous volumes in the handbook series covering Evolutionary PDEs - Written by leading experts

## Nonlinear Dynamical Systems and Control

Author | : Wassim M. Haddad,VijaySekhar Chellaboina |

Publsiher | : Princeton University Press |

Total Pages | : 944 |

Release | : 2011-09-19 |

ISBN 10 | : 1400841046 |

ISBN 13 | : 9781400841042 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Dynamical Systems and Control Book Review:**

Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

## Extremum Seeking Control and Applications

Author | : Chunlei Zhang,Raúl Ordóñez |

Publsiher | : Springer Science & Business Media |

Total Pages | : 201 |

Release | : 2011-10-26 |

ISBN 10 | : 9781447122241 |

ISBN 13 | : 1447122240 |

Language | : EN, FR, DE, ES & NL |

**Extremum Seeking Control and Applications Book Review:**

Extremum-seeking control tracks a varying maximum or minimum in a performance function such as output or cost. It attempts to determine the optimal performance of a control system as it operates, thereby reducing downtime and the need for system analysis. Extremum-seeking Control and Applications is divided into two parts. In the first, the authors review existing analog-optimization-based extremum-seeking control including gradient-, perturbation- and sliding-mode-based control designs. They then propose a novel numerical-optimization-based extremum-seeking control based on optimization algorithms and state regulation. This control design is developed for simple linear time-invariant systems and then extended for a class of feedback linearizable nonlinear systems. The two main optimization algorithms – line search and trust region methods – are analyzed for robustness. Finite-time and asymptotic state regulators are put forward for linear and nonlinear systems respectively. Further design flexibility is achieved using the robustness results of the optimization algorithms and the asymptotic state regulator by which existing nonlinear adaptive control techniques can be introduced for robust design. The approach used is easier to implement and tends to be more robust than those that use perturbation-based extremum-seeking control. The second part of the book deals with a variety of applications of extremum-seeking control: a comparative study of extremum-seeking control schemes in antilock braking system design; source seeking, formation control, collision and obstacle avoidance for groups of autonomous agents; mobile radar networks; and impedance matching. MATLAB®/Simulink® code which can be downloaded from www.springer.com/ISBN helps readers to reproduce the results presented in the text and gives them a head start for implementing the algorithms in their own applications. Extremum-seeking Control and Applications will interest academics and graduate students working in control, and industrial practitioners from a variety of backgrounds: systems, automotive, aerospace, communications, semiconductor and chemical engineering.

## Linear Parameter Varying and Time Delay Systems

Author | : Corentin Briat |

Publsiher | : Springer |

Total Pages | : 394 |

Release | : 2014-09-03 |

ISBN 10 | : 3662440504 |

ISBN 13 | : 9783662440506 |

Language | : EN, FR, DE, ES & NL |

**Linear Parameter Varying and Time Delay Systems Book Review:**

This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.

## Applied Science Technology Index

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2000 |

ISBN 10 | : |

ISBN 13 | : PSU:000053916532 |

Language | : EN, FR, DE, ES & NL |

**Applied Science Technology Index Book Review:**

## Nonlinear and Optimal Control Theory

Author | : Andrei A. Agrachev,A. Stephen Morse,Eduardo D. Sontag,Hector J. Sussmann,Vadim I. Utkin |

Publsiher | : Springer Science & Business Media |

Total Pages | : 351 |

Release | : 2008-03-28 |

ISBN 10 | : 3540776443 |

ISBN 13 | : 9783540776444 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear and Optimal Control Theory Book Review:**

The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.