Lyapunov stability analysis for nonlinear delay systems

Systems and Control Letters

Volumn 42, Issue 4, 2001, Pages 245-251

  Mazenc, Frédéric ^a   Niculescu, Silviu Iulian ^b  

^a INRIA   (France)

^b CNRS   (France)

Author keywords

Asymptotic stability; Delay system; Lyapunov function

Indexed keywords

ASYMPTOTIC STABILITY; FUNCTIONS; LYAPUNOV METHODS; NEURAL NETWORKS; NONLINEAR CONTROL SYSTEMS; SYSTEM STABILITY;

LYAPUNOV FUNCTIONS;

DELAY CONTROL SYSTEMS;

EID: 0034920813     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(00)00093-1     Document Type: Article

References (19)

1. A method and new results for stability and instability of autonomous functional differential equations
2. Stability in delayed neural networks
3. Neurons with graded response have collective computational properties like those of two stages
4. Control Lyapunov-Razumikhin functions for time-delay systems
5. Delay differential equations with applications in population dynamics
6. Stability of analog neural networks with delays
7. Adding an integration and global asymptotic stabilization of feed-forward systems
8. Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability
9. Nonlinear delay systems: Tools for quantitative approach to stabilization
10. Global stabilization of partially linear composite systems
11. Simple neural optimization networks: An A/D converter, signal decision and a linear programming circuit
12. Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorems
13. Sufficient Lyapunov-like conditions for stabilization
14. Global attractivity in delayed Hopfield neural network models