Stochastic Stability and Stabilization of Linear Time-delay Positive Systems With Two Independent Markov Processes

The stochastic stability and stabilization (SSaS) of Markov jump linear positive delayed systems (MJLPDSs) driven by two-independent Markov processes (TiMps) are examined. In view of the transition probability and the positivity of the system, this paper constructs a fresh stochastic co-positive linear Lyapunov-functional (LF). By describing equation of system via the mathematical expectation of the Markovianized states, several sufficient and necessary delay-dependent conditions for SSaS of continuous-time MJLPDSs with TiMps are presented draw on linear programming (LP). An sample is given to verify the theory achievements.