Abstract
This paper deals with the l 1 -gain performance analysis and fuzzy state feedback controller design for discrete-time positive fuzzy Markov jump systems (FMJSs). The definitions of the positive FMJSs, stochastic stability and l 1 -gain performance are firstly provided. Then some sufficient conditions for stochastic stability and l 1 -gain performance are derived in terms of linear programming (LP) by using a mode-dependent linear co-positive Lyapunov function, respectively. The derived conditions can cover several existing results as special cases and the fuzzy state feedback controller design of the positive FMJSs is converted into a standard and solvable LP problem. A numerical example is provided to illustrate the feasibility of the obtained conditions.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call