Stability And Stabilization Of Stochastic Systems With Time-varying Delay

In this article, we mainly studied the stability and stabilization problems ofstochastic systems with interval time-varying delay. By using the Lyapunov-Krasovskiifunctional, delay partitioning, input and output methods delay processing techniques,and combining with linear matrix inequality technique, we gave the stability and thestabilization method of the stochastic systems with interval time-varying delays, andon this basis, the robust stability and stabilization problem had also been investigated.Finally, we summarized the thesis work, pointed out the direction for further research.In one word, based on the research for stochastic systems with intervaltime-varying delay, we not only further enrich the theory of stochastic control system,but also to solve the practical problems in engineering and provide a theoretical basisand new ideas.