LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals

Systems and Control Letters

Volumn 43, Issue 4, 2001, Pages 263-274

  Bliman, Pierre Alexandre ^a,b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b INRIA   (France)

Author keywords

Delay independent stability; Linear delay systems; Linear matrix inequalities; Quadratic Lyapunov Krasovskii functionals

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV METHODS;

LINEAR MESSAGE CENTERS;

LINEAR CONTROL SYSTEMS;

EID: 0034921617     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(01)00108-6     Document Type: Article

References (21)

1. Stability and the matrix Lyapunov equation for delay differential systems
2. A method and new results for stability and instability of autonomous functional differential equations
3. Stability of nonlinear delay systems: Delay-independent small gain theorem and frequency domain interpretation of the Lyapunov-Krasovskii method
4. Lyapunov-Krasovskii method and strong delay-independent stability of linear delay systems
5. Frequency sweeping tests for stability independent of delay
6. Discretized LMI set in the stability problem of linear uncertain time-delay systems
7. Stability in linear delay equations
8. Stability independent and dependent of delay for delay differential systems
9. A Liapunov functional for a matrix difference-differential equation
10. On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations
11. Linear systems with commensurate time delays: Stability and stabilization independent of delay
12. Correction to "Linear systems with commensurate time delays: Stability and stabilization independent of delay"
13. Robust stability analysis of time delay systems: A survey
14. Asymptotic stability sets for linear systems with commensurable delays: A matrix pencil approach
15. Stability and robust stability of time-delay systems: A guided tour
16. On the Kalman-Yakubovich-Popov lemma
17. Robust stabilization of systems with delayed feedback
18. Generalization of Liapunov's theorem in a linear delay system