In practical dynamic systems, time delays are general, which often lead to instability and bad performance. Then, the stability analysis of system with time delay is the hot topic in the control field. Based on Lyapunov stability theory, many results have been obtained, which still need improvement. By constructing new Lyapunov-Krasovskii functional with the idea
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In practical applications, many control systems inevitably encounter uncertainties and external disturbances. These uncertainties and external disturbances usually impact systems in a stochastic way. Considering this, it is necessary to adopt a stochastic model to describe an engineering dynamic system. On the other hand, time delays are included in many practical systems, such as networks
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In practical dynamic systems, time delays are general, which often lead to instability and bad performance. At the same time, it is unavoidable to include uncertain parameters and disturbances in practical control systems due to modeling errors,measurement errors, linearity approximations, and so on. Thus, it is of great importance in theoretical and pratical application to
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