New approaches on exponential stability for continuous system with multiple additive delay components

Abstract

This article studies the problem of exponential stability for continuous‐time system with multiple additive delay components. Based on the dividing of the delay and reciprocally convex combination technique, some new delay‐dependent stability conditions are derived by constructing a novel Lyapunov functional. These criteria are expressed as a set of linear matrix inequalities, which can be checked using the numerically efficient Matlab LMI Control Toolbox. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed methods. © 2015 Wiley Periodicals, Inc. Complexity 21: 29–41, 2016