Stability criteria for LPV time-delayed systems: The delay-independent case 1

Abstract This paper analyzes the stability of Linear Parameter Varying (LPV) time-delayed systems. Several delay-independent stability conditions are presented, which are derived using appropriately selected Lyapunov-Krasovskii functionals. Depending on the system parameter dependence, these functionals can be selected to obtain increasingly non-conservative results. Using relaxation methods and gridding techniques these stability tests can be cast as Linear Matrix Inequalities (LMFs). These LMF’s can be solved efficiently using available software.

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