Stability Regions of Nonlinear Dynamical Systems: Theory, Estimation, and Applications

ISBN: 9781316371329 出版年：2015 页码：484 Hsiao-Dong Chiang Luis F C Alberto Cambridge University Press

1. Introduction Part I. Theory: 2. Stability, limit sets and stability regions 3. Energy function theory 4. Stability regions of continuous dynamical systems 5. Stability regions of attracting sets of complex nonlinear dynamical systems 6. Quasi-stability regions of continuous dynamical systems - theory 7. Stability regions of constrained dynamical systems 8. Relevant stability boundary of continuous dynamical systems 9. Stability regions of discrete dynamical systems Part II. Estimation: 10. Estimating stability regions of continuous dynamical systems 11. Estimating stability regions of complex continuous dynamical systems 12. Estimating stability regions of discrete dynamical systems 13. A constructive methodology to estimate stability regions of nonlinear dynamical systems 14. Estimation of relevant stability regions 15. Critical evaluation of numerical methods for approximating stability boundaries Part III. Advanced Topics: 16. Stability regions of two-time scale continuous dynamical systems 17. Stability regions for a class of non-hyperbolic dynamical systems - theory and estimation 18. Optimal estimation of stability regions for a class of large-scale nonlinear dynamic systems 19. Bifurcations of stability regions Part IV. Applications: 20. Application of stability regions to direct stability analysis of large-scale electric power systems 21. Stability-region-based methods for multiple optimal solutions of nonlinear programming 22. Perspectives and future directions.