Improved Reachable Set Bounding for Linear Neutral Systems with Disturbances via Triple Integral Functionals

Abstract

This paper focuses on bound of reachable sets for linear neutral systems with bounded peak disturbances. To best of our knowledge, there were few results related to the ellipsoidal bound of reachable sets for linear neutral systems. By utilizing the Lyapunov-Krasovskii functional theory, delay decomposition technique, reciprocally convex method and free-weighting matrix approach, some new results expressed in terms of linear matrix inequalities are derived. Furthermore, triple integral functionals are introduced first time to derive bound of reachable sets for linear neutral systems. A tighter bound of the reachable set is obtained.