Groupe d’études et de recherche en analyse des décisions

G-2000-42

Robust Stability and Stabilizability

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This document deals with the robustness of stochastic stability and stabilizability of the class of dynamical deterministic systems with time-delay in the vector state. Dependent and independent sufficient conditions are developed to check whether a system is stable or stable under the considered control law. Different type of control law are considered. Numerical examples are given to show the usefulness of the proposed results. The methodology we use is mainly based on the Lyapunov theory on stability.

, 38 pages