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HMM-Based Asynchronous Controller Design of Markovian Jumping Lur’e Systems Within a Finite-Time Interval

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This article study the asynchronous control problem for a class of discrete-time Markovian jumping Lur’e systems (MJLSs) over the finite-time interval. The partial accessibility of system modes with respect to… Click to show full abstract

This article study the asynchronous control problem for a class of discrete-time Markovian jumping Lur’e systems (MJLSs) over the finite-time interval. The partial accessibility of system modes with respect to the designed controller is described by a hidden Markov model (HMM). The asynchronous control law consists of two parts, i.e., the states and the nonlinearities involved in the dynamics of the controlled system. By selecting the appropriate Lyapunov functional and applying the modified sector condition, the finite-time stabilization conditions under the control constraints are derived. Finally, the effectiveness of the designed method is verified by an illustrative simulation.

Keywords: finite time; jumping lur; time; time interval; markovian jumping; lur systems

Journal Title: IEEE Transactions on Systems, Man, and Cybernetics: Systems
Year Published: 2021

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