Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.
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From the reviews "This book will be very useful for mathematics and engineering students interested in a modern and rigorous systems course, as well as for the experts in control theory and applications." MATHEMATICAL REVIEWS
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Mathematical control theory is the area of application-oriented mathematics that deals with the basic principles underlying the analysis and design of control systems. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
accessibility rank condition, asymptotically observable, ith canonical basis vector, asymptotically controllable, controllability decomposition, linearized pendulum, asymptotic controllability, topological system, feedback equivalence, linearization principle, piecewise constant controls, unique optimal control, output controllable, feedback equivalent, asymptotic notions, output controllability, local controllability, feedback linearizable, nontrivial interval, bilinear systems, controllable pair, nonlinear stabilization, reachable set, equilibrium pair, reachability matrix Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pole-Shifting Theorem, Cayley-Hamilton Theorem, Implicit Function Theorem, Contraction Mapping Theorem, Spectral Mapping Theorem, Inverse Function Theorem, Massera's Theorem, Mean Value Theorem, Use Exercise New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Mathematical control theory is the area of application-oriented mathematics that deals with the basic principles underlying the analysis and design of control systems. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
accessibility rank condition, asymptotically observable, ith canonical basis vector, asymptotically controllable, controllability decomposition, linearized pendulum, asymptotic controllability, topological system, feedback equivalence, linearization principle, piecewise constant controls, unique optimal control, output controllable, feedback equivalent, asymptotic notions, output controllability, local controllability, feedback linearizable, nontrivial interval, bilinear systems, controllable pair, nonlinear stabilization, reachable set, equilibrium pair, reachability matrix Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pole-Shifting Theorem, Cayley-Hamilton Theorem, Implicit Function Theorem, Contraction Mapping Theorem, Spectral Mapping Theorem, Inverse Function Theorem, Massera's Theorem, Mean Value Theorem, Use Exercise New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 100
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79
books
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- Differential Equations and Dynamical Systems by J.K. Hale in Front Matter, and Back Matter
- Dynamic Programming (Dover Books on Computer Science) by Richard Bellman on page 394, and Back Matter
- Adaptive Control (An Independent Learning Module from the Instrument Society of America) by Chang C. Hang in Back Matter (1), and Back Matter (2)
- New York by Allan Tannenbaum in Back Matter (1), and Back Matter (2)
- Invariance and System Theory: Algebraic and Geometric Aspects (Lecture notes in mathematics) by A. Tannenbaum in Back Matter
See all 100 books this book cites
- Geometric Control of Mechanical Systems: Modeling, Analysis, and Design for Simple Mechanical Control Systems by Francesco Bullo in Front Matter, and Back Matter
- Open Problems in Mathematical Systems and Control Theory (Communications and Control Engineering) by Vincent D. Blondel in Front Matter, and page 216
- Partial Differential Equations: Basic Theory (Texts in Applied Mathematics) by Michael E. Taylor in Front Matter
- Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics) by Aslak Tveito in Front Matter
- Mathematical Systems Theory I: Modelling, State Space Analysis, Stability and Robustness (Pt. 1) by Diederich Hinrichsen in Front Matter
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