Nonlinear Controllability And Optimal Control

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Nonlinear Controllability And Optimal Control

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Author : H.J. Sussmann
language : en
Publisher: Routledge
Release Date : 2017-11-22

Nonlinear Controllability And Optimal Control written by H.J. Sussmann and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.

This outstanding reference presents current, state-of-the-art research on importantproblems of finite-dimensional nonlinear optimal control and controllability theory. Itpresents an overview of a broad variety of new techniques useful in solving classicalcontrol theory problems.Written and edited by renowned mathematicians at the forefront of research in thisevolving field, Nonlinear Controllability and Optimal Control providesdetailed coverage of the construction of solutions of differential inclusions by means ofdirectionally continuous sections ... Lie algebraic conditions for local controllability... the use of the Campbell-Hausdorff series to derive properties of optimal trajectories... the Fuller phenomenon ... the theory of orbits ... and more.Containing more than 1,300 display equations, this exemplary, instructive reference is aninvaluable source for mathematical researchers and applied mathematicians, electrical andelectronics, aerospace, mechanical, control, systems, and computer engineers, and graduatestudents in these disciplines .

Nonlinear And Optimal Control Systems

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Author : Thomas L. Vincent
language : en
Publisher: John Wiley & Sons
Release Date : 1997-06-23

Nonlinear And Optimal Control Systems written by Thomas L. Vincent and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-23 with Science categories.

Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.

Controllability Of Switched Linear Systems And The Optimal Control Of Nonlinear Systems

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Author : Ying Yang (Ph. D.)
language : en
Publisher:
Release Date : 1996

Controllability Of Switched Linear Systems And The Optimal Control Of Nonlinear Systems written by Ying Yang (Ph. D.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

Siam Journal On Control And Optimization

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Author : Society for Industrial and Applied Mathematics
language : en
Publisher:
Release Date : 2006

Siam Journal On Control And Optimization written by Society for Industrial and Applied Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Automatic control categories.

Optimal Trajectory Tracking Of Nonlinear Dynamical Systems

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Author : Jakob Löber
language : en
Publisher: Springer
Release Date : 2016-12-20

Optimal Trajectory Tracking Of Nonlinear Dynamical Systems written by Jakob Löber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-20 with Science categories.

By establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely realizable trajectories identifies those trajectories that can be accurately achieved by applying appropriate control signals. The resulting simple expressions for the control signal lend themselves to immediate application in science and technology. The approach permits the generalization of many well-known results from the control theory of linear systems, e.g. the Kalman rank condition to nonlinear systems. The relationship between controllability, optimal control and trajectory tracking are clarified. Furthermore, the existence of linear structures underlying nonlinear optimal control is revealed, enabling the derivation of exact analytical solutions to an entire class of nonlinear optimal trajectory tracking problems. The clear and self-contained presentation focuses on a general and mathematically rigorous analysis of controlled dynamical systems. The concepts developed are visualized with the help of particular dynamical systems motivated by physics and chemistry.

Global Stabilization Of Nonlinear Gyroscopic Systems

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Author : Chih-Jian Wan
language : en
Publisher:
Release Date : 1994

Global Stabilization Of Nonlinear Gyroscopic Systems written by Chih-Jian Wan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

Control Theory And Advanced Technology

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Author :
language : en
Publisher:
Release Date : 1985

Control Theory And Advanced Technology written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Control theory categories.

Optimal Control

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Author : Leonid T. Aschepkov
language : en
Publisher: Springer
Release Date : 2017-01-11

Optimal Control written by Leonid T. Aschepkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-11 with Mathematics categories.

This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditions of optimal processes. In the first part of the course, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of a reachability set in the class of piecewise continuous controls, and the problems of controllability, observability, identification, performance and terminal control are also considered. The second part of the course is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Further exercises and a large number of additional tasks are provided for use as practical training in order for the reader to consolidate the theoretical material.

Bulletin Math Matique

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Author : Societatea de Ştiinţe Matematice
language : en
Publisher:
Release Date : 1990

Bulletin Math Matique written by Societatea de Ştiinţe Matematice and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Discrete And Continuous Dynamical Systems

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Author :
language : en
Publisher:
Release Date : 2008

Discrete And Continuous Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differentiable dynamical systems categories.