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| Preface | ||
| Note to the Reader | ||
| 1 | Introduction | 1 |
| 2 | Nonlinear Differential Equations | 6 |
| 2.1 | Mathematical Preliminaries | 6 |
| 2.2 | Induced Norms and Matrix Measures | 19 |
| 2.3 | Contraction Mapping Theorem | 27 |
| 2.4 | Nonlinear Differential Equations | 33 |
| 2.5 | Solution Estimates | 46 |
| 3 | Second-Order Systems | 53 |
| 3.1 | Preliminaries | 53 |
| 3.2 | Linearization Method | 57 |
| 3.3 | Periodic Solutions | 67 |
| 3.4 | Two Analytical Approximation Methods | 79 |
| 4 | Approximate Analysis Methods | 88 |
| 4.1 | Describing Functions | 88 |
| 4.2 | Periodic Solutions: Rigorous Arguments | 109 |
| 4.3 | Singular Perturbations | 127 |
| 5 | Lyapunov Stability | 135 |
| 5.1 | Stability Definitions | 135 |
| 5.2 | Some Preliminaries | 147 |
| 5.3 | Lyapunov's Linearization Method | 157 |
| 5.4 | Stability of Linear Systems | 193 |
| 5.5 | Lyapunov's Linearization Method | 209 |
| 5.6 | The Lur'e Problem | 219 |
| 5.7 | Converse Theorems | 235 |
| 5.8 | Applications of Converse Theorems | 246 |
| 5.9 | Discrete-Time Systems | 264 |
| 6 | Input-Output Stability | 270 |
| 6.1 | L [Subscript p] Spaces and their Extensions | 271 |
| 6.2 | Definitions of Input-Output Stability | 277 |
| 6.3 | Relationships Between I/O and Lyapunov Stability | 284 |
| 6.4 | Open-Loop Stability of Linear Systems | 292 |
| 6.5 | Linear Time-Invariant Feedback Systems | 309 |
| 6.6 | Time-Varying and/or Nonlinear Systems | 337 |
| 6.7 | Discrete-Time Systems | 365 |
| 7 | Differential Geometric Methods | 376 |
| 7.1 | Basics of Differential Geometry | 377 |
| 7.2 | Distributions, Frobenius Theorem | 392 |
| 7.3 | Reachability and Observability | 399 |
| 7.4 | Feedback Linearization: Single-Input Case | 427 |
| 7.5 | Feedback Linearization: Multi-Input Case | 438 |
| 7.6 | Input-Output Linearization | 456 |
| 7.7 | Stabilization of Linearizable Systems | 464 |
| A. Prevalence of Differential Equations With Unique Solutions | 469 | |
| B. Proof of the Kalman-Yacubovitch Lemma | 474 | |
| C. Proof of the Frobenius Theorem | 476 | |
| References | 486 | |
| Index | 493 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Kelly Hill
reviewed Nonlinear systems analysis on March 17, 2015 Nonlinear systems analysis
A must-have for a control systems engineer. The challenging part is solving the exercises at the end of every chapter but still a great book.
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Add Nonlinear systems analysis, When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have ma, Nonlinear systems analysis to the inventory that you are selling on WonderClubX
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Add Nonlinear systems analysis, When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have ma, Nonlinear systems analysis to your collection on WonderClub |
