ABSTRACT
This paper investigates the exponential stabilisation and H∞ control problem of neutral stochastic delay Markovian jump systems. First, a delay feedback controller is designed to stabilise the neutral stochastic delay Markovian jump system in the drift part. Second, sufficient conditions for the existence of feedback controller are proposed to ensure that the resulting closed-loop system is exponentially stable in mean square and satisfies a prescribed H∞ performance level. Finally, numerical examples are provided to show the effectiveness of the proposed design methods.
Ackowledgments
The authors would like to thank the editor and referees for their very helpful comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the authors.
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Notes on contributors
Weimin Chen
Weimin Chenreceived his B.Sc. degree from Anhui Normal University, China in 2000, M.Sc. degree and Ph.D. degree from Nanjing University of Science and Technology, China in 2003 and 2014, respectively. He now is an Associate Professor at School of Science, Nanjing University of Science and Technology. His current research interests include stochastic systems, Markovian jumping systems, neural networks, stability theory and control.
Qian Ma
Qian Ma received the B.Sc. degree in computational mathematics from Jiangsu University of Science and Technology, in 2005, the M.Sc. degree in fluid dynamics from Nanjing University of Science and Technology, in 2007 and Ph. D degree in control theory from Nanjing University of Science and Technology, in 2013. Since June 2013, she has joined the School of Automation at Nanjing University of Science and Technology, where she is currently a Professor. Her current research interests include time-delay systems, stability theory and Multi-agent systems.
Lanning Wang
Lanning Wangreceived the B.E. and M.E. degrees in applied mathematics and the Ph.D. degree in control science and engineering from Nanjing University of Science and Technology, China, in 2003, 2005 and 2016, respectively. Since 2005, she has been with the School of Science, Nanjing University of Posts and Telecommunications, Nanjing, China, where she is currently an Associate Professor. Her areas of interest include multi-dimensional systems, singular systems, fuzzy systems, etc.
Huiling Xu
Huiling Xu received her B.Sc. degree in mathematics from the Nanjing University of Science and Technology, China in 1992, and the M.S. and Ph.D. degrees in control science and control engineering from the Nanjing University of Science and Technology, China in 1999 and 2005, respectively. From 2009 to 2011 she was a Research Fellow in the school of electrical and electronic engineering at the Nanyang Technological University (NTU), Singapore. Since Apr. 2012, she has been a Professor in the school of science at the Nanjing University of Science and Technology, China. Her current research interests include distributed control, multidimensional systems, singular systems, time-delay systems, modeling and optimization for big data analytics.