Small-gain theorem for ISS systems and applications

Mathematics of Control, Signals, and Systems

Volumn 7, Issue 2, 1994, Pages 95-120

  Jiang, Z P ^a   Teel, A R ^b   Praly, L ^a  

^a PSL RESEARCH UNIVERSITY   (France)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Global stability; Input to state stability; Nonlinear systems; Partial state feedback

Indexed keywords

EID: 33846166511     PISSN: 09324194     EISSN: 1435568X     Source Type: Journal    
DOI: 10.1007/BF01211469     Document Type: Article

References (35)

1. A new class of stabilizing controllers for uncertain dynamical systems
2. Asymptotic stabilization of minimum phase nonlinear systems
3. Robustness of uncertain systems in the absence of matching assumptions
4. Technical results for the study of robustness of Lagrange stability
5. Systematic design of adaptive controllers for feedback linearizable systems
6. A toolkit for nonlinear feedback design
7. Monotone stability of nonlinear feedback systems
8. Dynamic output feedback linearization and global stabilization
9. Stabilization by output feedback for systems with ISS inverse dynamics
10. Homogeneous Lyapunov functions for homogeneous continuous vector fields
11. Global stabilization of partially linear composite systems
12. Smooth stabilization implies coprime factorization
13. Further facts about input-to-state stabilization
14. Limitations on the stabilizability of globally minimum phase systems
15. The peaking phenomenon and the global stabilization of nonlinear systems
16. Semi-global stabilization of minimum phase nonlinear systems in special normal forms
17. Sufficient Lyapunov-like conditions for stabilization
18. Sontag's “input to state stability condition” and the global stabilization using state detection
19. Versions of Sontag's “input to state stability condition” and the global stabilization problem
20. New relationships between input-output and Lyapunov stability