Stability Analysis of Complex Network Control System With Dynamical Topology and Delays

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 51; no. 11; pp. 7228 - 7237
• Main Authors: Li, Meng, Chen, Yong, Lim, Cheng-Chew
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.11.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Communication networks; Complex network control systems (CNCSs); Complex networks; Control stability; Control systems; Controllers; Delays; dual-Markov model; Dynamic stability; hidden Markov model; Hidden Markov models; jump topology; Linear matrix inequalities; Markov chains; Mathematical analysis; Network control; Network topologies; random delay; Stability analysis; Topology
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2020.2967102

This article studies the issue of stability for complex network control systems, which comprise multisystems and multicontrollers. These systems and controllers are coupled with each other and linked by communication networks with random delays. The system and controller network topologies are subject to jump, and the dynamic is captured by two models, as: 1) dual-Markov model and 2) hidden Markov model. Correspondingly, the stability conditions based on the Lyapunov-functional method are given for closed-loop stability. Then, the stability conditions are derived by transforming into the linear matrix inequality-based constraint minimization problem for solving controller gains. An illustration is carried out to testify the validation and potentials of the proposed new design techniques.