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Nonlinear systems analisys / M. Vidyasagar

Main Author Vidyasagar, M. Country Estados Unidos. Publication Englwood Cliffs : Prentice Hall, cop. 1978 Description XII, 302 p. : il. ; 24 cm Series Prentice-Hall Networks series ISBN 0-13-623280-9 CDU 519.853
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Holdings
Item type Current location Call number Status Date due Barcode Item holds
Monografia Biblioteca Geral da Universidade do Minho
BGUM1 519.853 - V Mau estado | Damage 4755-BCT
Total holds: 0

Table of contents provided by Syndetics

  • Preface to the Classics Edition (p. xiii)
  • Preface (p. xv)
  • Note to the Reader (p. xvii)
  • 1. Introduction (p. 1)
  • 2. Nonlinear Differential Equations (p. 6)
  • 2.1 Mathematical Preliminaries (p. 6)
  • 2.2 Induced Norms and Matrix Measures (p. 19)
  • 2.3 Contraction Mapping Theorem (p. 27)
  • 2.4 Nonlinear Differential Equations (p. 33)
  • 2.5 Solution Estimates (p. 46)
  • 3. Second-Order Systems (p. 53)
  • 3.1 Preliminaries (p. 53)
  • 3.2 Linearization Method (p. 57)
  • 3.3 Periodic Solutions (p. 67)
  • 3.4 Two Analytical Approximation Methods (p. 79)
  • 4. Approximate Analysis Methods (p. 88)
  • 4.1 Describing Functions (p. 88)
  • 4.2 Periodic Solutions: Rigorous Arguments (p. 109)
  • 4.3 Singular Perturbations (p. 127)
  • 5. Lyapunov Stability (p. 135)
  • 5.1 Stability Definitions (p. 135)
  • 5.2 Some Preliminaries (p. 147)
  • 5.3 Lyapunov's Direct Method (p. 157)
  • 5.4 Stability of Linear Systems (p. 193)
  • 5.5 Lyapunov's Linearization Method (p. 209)
  • 5.6 The Lur'e Problem (p. 219)
  • 5.7 Converse Theorems (p. 235)
  • 5.8 Applications of Converse Theorems (p. 246)
  • 5.9 Discrete-Time Systems (p. 264)
  • 6. Input-Output Stability (p. 270)
  • 6.1 L[subscript p]-Spaces and their Extensions (p. 271)
  • 6.2 Definitions of Input-Output Stability (p. 277)
  • 6.3 Relationships Between I/O and Lyapunov Stability (p. 284)
  • 6.4 Open-Loop Stability of Linear Systems (p. 292)
  • 6.5 Linear Time-Invariant Feedback Systems (p. 309)
  • 6.6 Time-Varying and/or Nonlinear Systems (p. 337)
  • 6.7 Discrete-Time Systems (p. 365)
  • 7. Differential Geometric Methods (p. 376)
  • 7.1 Basics of Differential Geometry (p. 377)
  • 7.2 Distributions, Frobenius Theorem (p. 392)
  • 7.3 Reachability and Observability (p. 399)
  • 7.4 Feedback Linearization: Single-Input Case (p. 427)
  • 7.5 Feedback Linearization: Multi-Input Case (p. 438)
  • 7.6 Input-Output Linearization (p. 456)
  • 7.7 Stabilization of Linearizable Systems (p. 464)
  • A. Prevalence of Differential Equations with Unique Solutions (p. 469)
  • B. Proof of the Kalman-Yacubovitch Lemma (p. 474)
  • C. Proof of the Frobenius Theorem (p. 476)
  • References (p. 486)
  • Index (p. 493)

Author notes provided by Syndetics

M. Vidyasagar is Executive Vice President of Tata Consultancy Services in Hyderabad, India. He has held numerous academic visiting positions with universities such as MIT, the University of California, and Tokyo Institute of Technology and has also held various consultancy positions within the field. He has published many articles in linear, nonlinear, and robust control theory; robotics; and statistical learning theory. He has authored or co-authored more than a half-dozen books on these topics

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