ASYMMETRIC FUNCTIONAL-BASED APPROACH TO EXPONENTIAL STABILITY OF LINEAR DISTRIBUTED TIME-DELAY SYSTEMS

DOI: 10.18173/2354-1059.2024-0017

Abstract

In this paper, the problem of exponential stability of linear time-delaysystems with mixed discrete and distributed delays is studied. Based onan asymmetric Lyapunov–Krasovskii functional approach, sufficient conditionsare derived in terms of linear matrix inequalities to guarantee the exponentialconvergence of the system state trajectories with a prescribed decay rate. Theefficacy of the obtained results is demonstrated by a given numerical example andsimulations.