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This technical note studies the problem of exponential estimates for Markovian jump systems with mode-dependent interval time-varying delays. A novel Lyapunov-Krasovskii functional (LKF) is constructed with the idea of delay partitioning, and a less conservative exponential estimate criterion is obtained based on the new LKF. Illustrative examples are provided to show the effectiveness of the proposed...
This paper studies the problem of H∞ control for a class of Markov jump systems with mode-dependent time-varying delays. Using the idea of partitioning the lower delay bound, a novel Lyapunov-Krasovskii functional (LKF) is constructed. Then a new delay-dependent criterion on the stochastic stability is derived in the form of linear matrix inequality (LMI). Based on this, state feedback controllers,...
This paper focuses on the problem of synchronization stability analysis for complex dynamical networks with coupling delays, both continuous and discrete cases are considered. With the method of delay partitioning, less conservative criteria are derived in the form of linear matrix inequalities (LMIs). Numerical examples are provided to show the effectiveness of the proposed results.
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