Search

考虑具有范数有界不确定性的离散马尔可夫跳跃广义系统的严格耗散性分析和控制问题.首先将严格耗散概念引入到离散马尔可夫跳跃广义系统,利用线性矩阵不等式给出了离散马尔可夫跳跃广义系统鲁棒随机容许且严格耗散的充分条件；然后利用矩阵不等式给出了状态反馈鲁棒严格耗散控制器的存在条件和综合方法.最后通过数值算例说明了所提出方法的有效性.

Copyright of Journal of Northeastern University (Natural Science) is the property of Dongbei Daxue Xuebao and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

This paper studies the stabilization problem of stochastic singular Markov jump systems with time-varying delays by static event-triggered control. By constructing the Lyapunov-Krasovskii functional, Jensen’s inequality and free weighting matrix technology, the stochastic admissibility conditions for the systems under the condition of static event-triggered control are proposed. On this basis, the state feedback controller is designed so that the corresponding closed-loop systems satisfy regular, impulse-free and the stochastically admissible in the mean square. Finally, a numerical simulation example is provided to illustrate the correctness and effectiveness of the method proposed in this paper. [ABSTRACT FROM AUTHOR]

The control problem for a class of nonlinear generalized delay Markov jump systems with generally uncertain transition rate is studied. First, a hybrid controller composed of a linear controller and an adaptive controller is designed for the unknown nonlinear parameters in the system, and a Lyapunov functional is constructed to make the trajectory of the system approach to the state space surface and the closed-loop system is admissible, satisfying H∞ criteria -. Furthermore, considering the characteristics of the generally uncertain transition rates matrices, a strict linear matrix inequality is constructed to make the conclusion more general. Finally, the effectiveness and feasibility of this control method are verified by numerical examples and image simulation. [ABSTRACT FROM AUTHOR]

Copyright of Control Theory & Applications / Kongzhi Lilun Yu Yinyong is the property of Editorial Department of Control Theory & Applications and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)