Robust Stability Analysis for Linear Time-delay Systemswith Uncertain Parameters: LMI Approach

In this paper, a delay-independent sufficient condition for the stability of linear timedelay systems with uncertain parameters is given in terms of linear matrix inequalities (LMIs). Basedon that, a convex optimization problem is formulated to And the bounds on the uncertain parameterswhich guarantee the stability of the uncertain systems.Numerical examples are given to illustrate theresults.