Distributed Dynamic Self-Triggered Control for Uncertain Complex Networks With Markov Switching Topologies and Random Time-Varying Delay

• Published in: IEEE transactions on network science and engineering Vol. 7; no. 3; pp. 1111 - 1120
• Main Authors: Tan, Xuegang, Cao, Jinde, Rutkowski, Leszek
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.07.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: complex networks; Delay; Delays; Dynamic self-triggered control; Markov processes; Markov switching topologies; Network topologies; Network topology; random delay; Statistical analysis; Switches; Switching; Synchronism; Synchronization; Topology; Upper bounds
• ISSN: 2327-4697; 2334-329X
• DOI: 10.1109/TNSE.2019.2905758

This paper studies the synchronization of complex networks with probabilistic interval delay and Markov switching topologies by using a novel dynamic self-triggered control (DSTC) scheme. Employing the probability distribution information of the input time-delay, the control protocol is transformed into a new rule with stochastic parameters. Also, a more general case of switching topologies, Markov switching topologies with partial information on transition rate, is discussed. By introducing a free-connection weighting matrix scheme and using the stability theory, a less conservative synchronization result is derived. It is shown by a numerical example that the DSTC method can reduce the sampling frequency apparently, and the tolerable delay upper bound can also be relaxed. In addition, continuous communication and the Zeno-behavior can be avoided.