Stability of linear systems with interval time-varying delays arising from networked control systems

This paper is concerned with the stability of linear systems with interval time-varying delays arising from networked control systems (NCSs). The Jensen integral inequality is first generalized into a new inequality to overcome the limitation of applications. Then a novel delay-dependent stability criterion is derived by combining the generalized Jensen integral inequality and the convex combination technique. It is proven theoretically that the stability criterion is less conservative than some existing results, which is confirmed by two numerical examples.