Academic Report
Title: Stochastic stability and performance of positive Markov jump linear systems with time-delay
Reporter: Prof. ZHU Shuqian(School of Mathematics, Shandong University)
Time: June 1, 2018 (Friday) PM 15:30-16:30
Location: A1101# room, Innovation Park Building
Contact: ZHU Chungang (tel:84708351-8116)
Abstract: The problems of stochastic stability and L1/l1-gain performance analysis are addressed for continuous-time/discrete-time positive Markov jump linear systems with time-delay. By constructing a novel linear co-positive stochastic Lyapunov functional based on the positivity of the system, and characterizing the system equation of the mathematical expectation of the markovianized states, some necessary and sufficient delay-dependent conditions for stochastic stability and L1/l1-gain performance are presented in terms of linear programming. It is revealed that stochastic stability of the positive Markov jump linear system with time-delay is influenced by the size of time-delay and it is demonstrated by examples that the effect of time-delay on stochastic stability can be either positive or negative.
The brief introduction to the reporter: Zhu Shuqian is a professor of School of Mathematics, Shandong University. In June 2005, she graduated from the major of operational research and Cybernetics of the school of mathematics and system science of Shandong University and received a doctorate in science. Then she stayed in school in July the same year and entered the post doctoral mobile station of the Shandong University computer college for the research work. From January 2013 to January 2014, she worked as a public visiting scholar to Central Queensland University, Australia for the cooperative research. From January 2018 to February 2018, she became visiting professor of Swinburne University of Technology, Australia. The main research fields are the cross subject study of positive system, Markov jumping system and networked control system. She won the second prize of the Shandong Provincial Natural Science Prize and chaired 3 National Natural Science Fouds. She has published more than 40 academic papers in important academic journals such as IEEE Transactions on Automatic Control, Automatica, Information Sciences and other important international academic conferences.
