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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...
This paper is concerned with non-fragile H∞ filtering for linear systems in network environments. The filtering error system is modeled as a linear system with an interval time-varying delay. Then a delay-decomposition approach is employed to derive a sufficient condition such that the filtering error system is asymptotically stable with a prescribed H∞ disturbance attenuation level, where the non-fragility...
This brief is concerned with delay-dependent robust Hinfin filtering for uncertain discrete-time systems with time-varying delay. The uncertainty is of convex polytopic type. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent bounded real lemma (BRL) is derived. In combination with a parameter-dependent Lyapunov-Krasovskii functional, which allows the Lyapunov-Krasovskii...
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