Graph theory-based synchronization for stochastic uncertain complex dynamical networks via inverse optimal adaptive control

IF 2.2 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS
Xuhui Guo, Zhiyi Yao, Di Wang, Huaizhu Wang
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引用次数: 0

Abstract

This paper is concerned with the synchronization of stochastic uncertain complex dynamic networks with time-varying delays. In contrast to existing synchronization network models, the current study considers both internal time-varying delays and coupling time-varying delays. By analyzing the two factors (i.e. time-varying delays and uncertainties) on the synchronization performance of stochastic uncertain complex dynamic networks, a new inverse optimal adaptive control is proposed. The analysis tool developed in this paper is based on Lyapunov technique, algebraic graph theory and inverse optimality, which does not need to solve Hamilton-Jacobi-Bellman equation. Some sufficient conditions are established for the synchronization of stochastic uncertain complex dynamic networks with time-varying delays. To demonstrate the effectiveness of the present approach, simulation results are illustrated.

Abstract Image

通过逆最优自适应控制实现基于图论的随机不确定复杂动态网络同步化
本文关注具有时变延迟的随机不确定复杂动态网络的同步问题。与现有的同步网络模型相比,本研究同时考虑了内部时变延迟和耦合时变延迟。通过分析这两个因素(即时变延迟和不确定性)对随机不确定复杂动态网络同步性能的影响,提出了一种新的逆最优自适应控制方法。本文开发的分析工具基于 Lyapunov 技术、代数图论和逆最优性,无需求解 Hamilton-Jacobi-Bellman 方程。本文为具有时变延迟的随机不确定复杂动态网络的同步建立了一些充分条件。为了证明本方法的有效性,对模拟结果进行了说明。
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来源期刊
IET Control Theory and Applications
IET Control Theory and Applications 工程技术-工程:电子与电气
CiteScore
5.70
自引率
7.70%
发文量
167
审稿时长
5.1 months
期刊介绍: IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces. Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed. Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.
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