Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5472042 | Nonlinear Analysis: Hybrid Systems | 2017 | 15 Pages |
Abstract
The resilient dissipative dynamic output feedback control problem for a class of uncertain Markov jump Lur'e systems with piecewise homogeneous transition probabilities and time-varying delays in the discrete-time domain are examined in this study. The designed controller can tolerate additive uncertainties in the controller gain matrix, which result from controller implementations. The time-varying delays are also supposed to be mode-dependent with lower and upper bounds known a priori. By constructing a Lyapunov-Krasovskii functional candidate, the sufficient conditions regarding the existence of desired resilient dissipative controllers are obtained in terms of linear matrix inequalities, thereby ensuring that the resulting closed-loop system is stochastically stable and strictly dissipative. Two numerical examples were established to illustrate the effectiveness of the proposed theoretical results.
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Authors
Yujie Zhang, Yongsheng Ou, Xinyu Wu, Yimin Zhou,