IEEE Trans Cybern. 2017 May;47(5):1273-1284. doi: 10.1109/TCYB.2016.2544062. Epub 2016 Apr 12.
This paper studies a distributed secure consensus tracking control problem for multiagent systems subject to strategic cyber attacks modeled by a random Markov process. A hybrid stochastic secure control framework is established for designing a distributed secure control law such that mean-square exponential consensus tracking is achieved. A connectivity restoration mechanism is considered and the properties on attack frequency and attack length rate are investigated, respectively. Based on the solutions of an algebraic Riccati equation and an algebraic Riccati inequality, a procedure to select the control gains is provided and stability analysis is studied by using Lyapunov's method.. The effect of strategic attacks on discrete-time systems is also investigated. Finally, numerical examples are provided to illustrate the effectiveness of theoretical analysis.
本文研究了一类受到随机马尔可夫过程建模的战略网络攻击的多智能体系统的分布式安全共识跟踪控制问题。建立了一种混合随机安全控制框架,用于设计分布式安全控制律,以实现均方指数共识跟踪。考虑了连通性恢复机制,并分别研究了攻击频率和攻击长度率的性质。基于代数黎卡提方程和代数黎卡提不等式的解,提供了一种选择控制增益的方法,并通过李雅普诺夫方法研究了稳定性分析。还研究了战略攻击对离散时间系统的影响。最后,通过数值示例说明了理论分析的有效性。