Robust stability of interval time-delay systems with delay-dependence
Systems & Control Letters
Stability for time varying linear dynamic systems on time scales
Journal of Computational and Applied Mathematics
Linearized stability in periodic functional differential equations with state-dependent delays
Journal of Computational and Applied Mathematics
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks
Control of systems with time-varying delay: a comparison study
ACMOS'10 Proceedings of the 12th WSEAS international conference on Automatic control, modelling & simulation
A novel approach to exponential stability of nonlinear systems with time-varying delays
Journal of Computational and Applied Mathematics
On novel exponential stability criterion for systems with time-varying delays
International Journal of Systems, Control and Communications
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This paper deals with the stability of a class of linear time-varying systems with multiple delays. Using the Lyapunov function method, we give sufficient delay-dependent conditions for the exponential stability with a given convergence rate, which are described in terms of linear matrix inequalities (LMI) and the solution of Riccati differential equations (RDE). The results are applied to the problem of stabilization of linear time-varying control systems with multiple delays. Numerical examples are given to illustrate the results.