Liapunov functions and stability criteria for nonlinear systems with multiple critical eigenvalues

Mathematics of Control, Signals, and Systems

Volumn 7, Issue 3, 1994, Pages 255-278

  Fu, Jyun Horng ^a  

^a WRIGHT STATE UNIVERSITY   (United States)

Author keywords

Critical; D stability; Liapunov; Nonlinear control; Relaxed

Indexed keywords

EID: 0002910531     PISSN: 09324194     EISSN: 1435568X     Source Type: Journal    
DOI: 10.1007/BF01212272     Document Type: Article

References (35)

1. Local feedback stabilization and bifurcation control, I. Hopf bifurcation
2. Local feedback stabilization and bifurcation control, II. Stationary bifurcation
3. Lyapunov method applied to the Hopf bifurcation
4. Smooth feedback stabilizability of nonlinear systems
5. Families of Liapunov functions for nonlinear systems in critical cases
6. Analysis and Applications of Strong D-Stability
7. Feedback Stabilization via Center Manifold Reduction with Application to Tethered Satellites
8. Stabilization of tethered satellites during station keeping
9. Problème général de la stabilité du mouvement
10. Some Basic Theorems of the Stability of Motion in the Critical Cases
11. The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
12. Trade-offs in linear control system design
13. Lyapunov functions for interconnected power systems
14. Feedback stabilization of nonlinear systems
15. Stability of solutions bifurcating from multiple eigenvalues
16. New relationship between input-output and Liapunov stability