A converse Lyapunov theorem for, non-uniform in time, global exponential robust stability

Systems and Control Letters

Volumn 44, Issue 5, 2001, Pages 373-384

  Tsinias, J ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Exponential robust stability; ISS; Non uniform in time; Stabilization

Indexed keywords

FEEDBACK; LYAPUNOV METHODS; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING; TIME VARYING CONTROL SYSTEMS;

EXPONENTIAL ROBUST STABILITY;

SYSTEM STABILITY;

EID: 0035861359     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(01)00156-6     Document Type: Article

References (16)

1. Lyapunov and Lagrange stability: Inverse theorems for discontinuous systems
2. On the converse of first Lyapunov theorem: The regularity issue
3. Small gain theorem for ISS systems and applications
4. A smooth converse Lyapunov theorem for robust stability
5. Smooth Lyapunov functions for discontinuous stable systems
6. Nonsmooth control - Lyapunov functions
7. On characterizations of the input-to-state stability property
8. New characterizations of input-to-state stability
9. Lyapunov characterizations of input to output stability
10. A smooth Lyapunov function from a class-KL estimate involving two positive semidefinite functions
11. Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation
12. Stochastic input-to-state stability and applications to global feedback stabilization
13. The concept of exponential input to state stability for stochastic systems and applications to feedback stabilization
14. Backstepping design for time-varying nonlinear systems with unknown parameters
15. ISS property for time-varying systems and applications to partial-static feedback stabilization and asymptotic tracking
16. A converse Lyapunov theorem for robust exponential stochastic stability