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Stability Analysis of Uncertain Neutral Systems with Discrete and Distributed Delays via the Delay Partition Approach

S. Senthilraj, R. Raja, Quanxin Zhu* and R. Samidurai
International Journal of Control, Automation, and Systems, vol. 15, no. 5, pp.2149-2160, 2017

Abstract : "This paper focuses on the stability analysis for neutral systems with discrete and distributed constant time-delays. Lyapunov-Krasovskii functionals (LKFs) are constructed by non uniformly dividing the whole delay interval into multiple segments and choosing proper functionals with different weighting matrices coressponding to different segments in the LKFs. By employing these LKFs, some new delay-derivative-dependent stability criteria are established for the neutral system in the delay partition approach. By utilizing the delay partition approach, the obtained stability criteria are stated in terms of linear matrix inequalities. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed approach less conservative than the existing ones."

Keyword : Delay partition approach, distributed delay, linear matrix inequality (LMI), neutral system

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