Add to ORKGThe use of the sum of squares decomposition and semidefinite programming have provided an efficient methodology for analysis of nonlinear systems described by ODEs by algorithmically constructing Lyapunov functions. Based on the same methodology we present an algorithmic procedure for constructing Lyapunov-Krasovskii functional for nonlinear time delay systems described by functional differential equations (FDEs) both for delay-dependent and delay-independent stability analysis. Robust stability analysis of these systems under parametric uncertainty can be treated in a unified way. We illustrate the results with an example from population dynamics
International audienceThis paper deals with the stability analysis of time delay systems based on co...
We propose a new technique for stability analysis for nonlinear dynamical systems with delays and po...
Time-delay systems, which are also sometimes known as hereditary systems or systems with memory, aft...
The use of the sum of squares decomposition and semidefinite programming have provided an efficient ...
We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for l...
We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for l...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceIn this paper, we present a converse Lyapunov result which shows that using po...
This thesis addresses the question of stability of systems defined by differential equations which c...
International audienceThis paper deals with the stability analysis of time delay systems based on co...
International audienceThis paper deals with the stability analysis of time delay systems based on co...
International audienceThis paper deals with the stability analysis of time delay systems based on co...
We propose a new technique for stability analysis for nonlinear dynamical systems with delays and po...
Time-delay systems, which are also sometimes known as hereditary systems or systems with memory, aft...
The use of the sum of squares decomposition and semidefinite programming have provided an efficient ...
We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for l...
We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for l...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceThis paper addresses the problem of stability analysis of a class of linear sy...
International audienceIn this paper, we present a converse Lyapunov result which shows that using po...
This thesis addresses the question of stability of systems defined by differential equations which c...
International audienceThis paper deals with the stability analysis of time delay systems based on co...
International audienceThis paper deals with the stability analysis of time delay systems based on co...
International audienceThis paper deals with the stability analysis of time delay systems based on co...
We propose a new technique for stability analysis for nonlinear dynamical systems with delays and po...
Time-delay systems, which are also sometimes known as hereditary systems or systems with memory, aft...