Mathematical Control Theory: Deterministic Finite Dimensional Systems

Front Cover
Springer Science & Business Media, Jul 17, 1998 - Mathematics - 532 pages
Mathematics is playing an ever more important role in the physical and biologi cal sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and rein force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematics Sci ences (AMS) series, which will focus on advanced textbooks and research-level monographs. v Preface to the Second Edition The most significant differences between this edition and the first are as follows: • Additional chapters and sections have been written, dealing with: nonlinear controllability via Lie-algebraic methods, variational and numerical approaches to nonlinear control, including a brief introduction to the Calculus of Variations and the Minimum Principle, - time-optimal control of linear systems, feedback linearization (single-input case), nonlinear optimal feedback, controllability of recurrent nets, and controllability of linear systems with bounded controls.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
1
Systems
25
Reachability and Controllability
81
Nonlinear Controllability
141
Feedback and Stabilization
183
Outputs
261
Observers and Dynamic Feedback
315
Optimality Value Function
347
Optimality Multipliers
397
Optimality MinimumTime for Linear Systems
423
Linear Algebra
447
Differenctials
461
Ordinary Differential Equations
467
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page 505 - B. Jakubczyk and W. Respondek. 'On Linearization of Control Systems.' Bull. Acad. Pol. Sci. . Ser. Sci. Math. Astronom. Phys. 2fi. (1980). [35] R. Su, 'On the Linear Equivalence of Nonlinear Systems.

Bibliographic information