Asynchronous H∞ control for nonhomogeneous higher-level Markov jump systems. Issue 8 (May 2020)

• Record Type: Journal Article
• Authors: Yin, Yanyan; Zhu, Lijie; Liu, Fei; Teo, Kok Lay; Wang, Song
• Is Part Of: Journal of the Franklin Institute. Volume 357:Issue 8(2020)
• Page Start: 4697
• Page End: 4708
• Publication Date: 2020-05
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2020.02.010
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper investigates about asynchronous H ∞ control for nonhomogeneous higher-level Markov jump systems, where a higher-level transition probability matrix is considered. The asynchronous H ∞ controller designed is subject to an independent Markov chain. Using a linear matrix inequality approach, sufficient conditions are established such that system with controller is stochastically stable. A numerical example is presented to demonstrate the effectiveness of our method developed.