Top
| Preface | |
| Basic Theory | p. 1 |
| Definitions of stability | p. 2 |
| Basic Lyapunov theory | p. 11 |
| Comparison method | p. 25 |
| Converse theorem | p. 39 |
| Boundedness and Lagrange stability | p. 48 |
| Practical stability | p. 55 |
| (h[subscript o], h, M[subscript o])-stability | p. 68 |
| Invariance principle | p. 79 |
| Refinements | p. 89 |
| Several Lyapunov functions | p. 91 |
| Perturbations of Lyapunov functions | p. 107 |
| Several Lyapunov functions (continued) | p. 125 |
| Method of vector Lyapunov functions | p. 131 |
| Perturbed systems | p. 153 |
| Variation of Lyapunov's method | p. 169 |
| Integral stability | p. 180 |
| Perturbations of Lyapunov functions (continued) | p. 192 |
| Method of higher derivatives | p. 200 |
| Comparison systems | p. 207 |
| Cone-valued Lyapunov functions | p. 214 |
| Extensions | p. 223 |
| Delay differential equations | p. 225 |
| Impulsive differential systems | p. 255 |
| Stabilization of control systems | p. 279 |
| Impulsive integro-differential systems | p. 296 |
| Discrete systems | p. 310 |
| Random differential systems | p. 319 |
| Dynamical systems on time scales | p. 330 |
| Applications | p. 353 |
| Holomorphic mechanical systems | p. 354 |
| Motion of winged aircraft | p. 361 |
| Models from economics | p. 364 |
| Motion of a length-varying pendulum | p. 369 |
| Population models | p. 373 |
| Angular motion of rigid bodies | p. 380 |
| Reference | p. 387 |
| Index | p. 397 |
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