Details

Autor(en) / Beteiligte

• Salle, Joseph La,
• Lefschetz, Solomon

Titel

Stability by Liapunov's direct methods : with applications [electronic resource]

Link zum Volltext

• Elsevier Books AutoHoldings

Beschreibungen/Notizen

• Description based upon print version of record.
• Front Cover; Stability by Liapunov's Direct Method With Applications; Copyright Page; Contents; Preface; Chapter 1 Geometric Concepts: Vectors and Matrices; 1. Spaces, Distances, Vectors; 2. Matrices and Determinants; 3. Relation Between Vectors and Matrices; Quadratic Forms; 4. A Little Geometry; Chapter 2 Differential Equations; 5. Generalities; 6. General Considerations on Stability; 7. Stability in Autonomous Systems; 8. A Special Type of Function; 9. Liapunov's Stability Theorems; 10. Stability and the Theorems of Liapunov for Nonautonomous Systems
• 11. Converse of the Theorems of Liapunov 12. Some Examples; 13. The Extent of Asymptotic Stability; 14. Stability under Persistent Disturbances; Chapter 3 Application of Liopunov's Theory to Controls; 15. General Remarks on Controls; 16. Construction of a Special Liapunov Function; 17. The Relation Between the Matrices B, C; 18. Return to the Control Problem; 19. Control with Some Characteristic Roots Zero; 20. Control Computation; 21. Application to an Actual Case; 22. General Controls; Chapter 4 Extensions of Liapunov's Method; 23. Finite Escape Times
• Lagrange Stability 24. Ultimate Boundedness; 25. Practical Stability; 26. Forced Oscillations; Steady-State Oscillations; Literature; Index
• In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank
• English