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Quanxin Zhu 제어·로봇·시스템학회 2013 International Journal of Control, Automation, and Vol.11 No.4
In this paper, the problem of robustly asymptotic stabilization for a class of stochastically nonlinear singular jump systems is investigated. The jumping parameters are modeled as a continuous-time, finite-state Markov chain. Based on the Lyapunov-Krasovskii functional and stochastic analysis theory as well as a state feedback control technique, some new sufficient conditions are derived to ensure the asymptotic stability of the trivial solution in the mean square. A key feature of this paper is that singular, nonlinear, noise perturbations, unknown parameters and continuously distributed delays are all considered. In particular, the obtained stabilization criteria in this paper are expressed in terms of LMIs, which can be solved easily by recently developed algorithms. Finally, two numerical examples are presented to illustrate the effectiveness of the theoretical results. Moreover, the second example shows that delay-dependent stabilization criteria are less conservative than delay-independent criteria.
Quanxin Zhu,R. Raja,S. Senthilraj,R. Samidurai 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.5
This paper focuses on the stability analysis for neutral systems with discrete and distributed constanttime-delays. Lyapunov-Krasovskii functionals (LKFs) are constructed by non uniformly dividing the whole delayinterval into multiple segments and choosing proper functionals with different weighting matrices coressponding todifferent segments in the LKFs. By employing these LKFs, some new delay-derivative-dependent stability criteriaare established for the neutral system in the delay partition approach. By utilizing the delay partition approach, theobtained stability criteria are stated in terms of linear matrix inequalities. Finally, some numerical examples areprovided to illustrate the effectiveness of the proposed approach less conservative than the existing ones.