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Improved Delay-dependent Stability Criteria for Networked Control System with Two Additive Input Delays

Daixi Liao*, Shouming Zhong*, Jinnan Luo, Xiaojun Zhang, Yongbin Yu, and Qishui Zhong*
International Journal of Control, Automation, and Systems, vol. 17, no. 9, pp.2174-2182, 2019

Abstract : This paper is concerned with stability criteria of networked control system with two additive time-varying delay components. Firstly, by separating the whole delay interval into subintervals and using a new inequality in combination with convex polyhedron method, a less conservative criterion is proposed and an approach of stabilization controller design is given based on the obtained criterion. Secondly, a congruent condition and an extended condition with the same allowable delay upper bound are respectively deduced by using two different inequalities. Finally, some numerical examples are presented to illustrate the effectiveness of the obtained method.

Keyword : Lyapunov-Krasovskii functionals, networked control system, stability, time-varying delays.

 
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