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Stability analysis for continuous system with additive time-varying delays: A less conservative result
Authors:Rajeeb Dey  G. Ray  A. Rakshit
Affiliation:a Dept. of Electrical Engg., Jadavpur University, West Bengal 700032, India
b Dept. of Electrical Engg., Indian Institute of Technology, Kharagpur, West Bengal, India
c Dept. of Electrical Engg., National Institute of Technology, Roukela, Orissa, India
Abstract:This paper presents a less conservative result for stability analysis of continuous-time systems with additive delays by constructing a new Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms in obtaining the stability condition in terms of linear matrix inequalities. Numerical example is provided to show the effectiveness of the proposed method compared to some recent results.
Keywords:Multiple additive time-delays   Delay-dependent stability   Lyapunov-Krasovskii functional   Linear matrix inequality (LMI)
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