Stability Of Switched Positive Linear System With Actuator Saturation

For any nonnegative initial conditions,a system whose trajectory is always nonnegative is called a positive system.Positive systems are special and often encountered in practical engineering.The stability problem is investigated for switched positive linear systems with actuator saturation in this paper.By multiple linear co-positive Lyapunov functions method and mode-dependent average dwell time strategy,the sufficient conditions of exponential stability for the switched positive systems are established;based on stochastic analysis theory and multiple linear co-positive Lyapunov functions,the sufficient conditions of stochastic stability for stochastic switched positive systems with semi-Markov switching signals.We give an estimate of the attraction domain in the prove process.The convex hull represent approach is used to deal with actuator saturation.The proposed conditions can be solved by linear programming.Finally,simulation results are provided to illustrate the effectiveness of the proposed results.