| Features: Builds in mathematical sophistication from chapter to chapter |
| Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems -- but uses user-friendly language, enlivened with many examples and remarks |
| Covers the basic elements of Lyapunov stability in a separate chapter |
| Covers topics ignored by other similar texts, e.g.: averaging |
| Single perturbation center manifold theorem |
| New--reorganizes content into three distinct parts |
| Covers nonlinear system analysis / Part I： |
| Discusses feedback systems / Part II： |
| Considers feedback design / Part III： |
| New--expands coverage of: input-output stability |
| Feedback linearization |
| Small-theorem |
| New--adds coverage of: passivity approach |
| Back stepping control design |
| Sliding mode control |
| Numerical construction of phase portraits |
| Comparison principle |
| Comparison method |
| Input-output linearization |
| Differential geometric approach |
| Extended linearization |
| Features problems that range in difficulty from simple drill problems to advanced (research-level) problems |
| New--adds over 100 new problems |
| Features: Builds in mathematical sophistication from chapter to chapter |
| Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems -- but uses user-friendly language, enlivened with many examples and remarks |
| Covers the basic elements of Lyapunov stability in a separate chapter |
| Covers topics ignored by other similar texts, e.g.: averaging |
| Single perturbation center manifold theorem |
| New--reorganizes content into three distinct parts |
図書
Algebraic integrability of nonlinear dynamical systems on manifolds : classical and quantum aspects