Quantized Control of semi-Markovian Jumping Bilinear Systems with Fractional Brownian Motions and Saturation Actuators

Utilizing the quantized control method, the analysis of the finite-time stochastic boundedness for semi-Markovian jumping bilinear systems driven by fractional Brownian motions with saturation actuators is investigated in this paper. Semi-Markov process is introduced to describe switching modes of bilinear systems. In order to obtain an improved stochastic boundedness condition based on fractional Brownian motions, a new type of double-integral Lyapunov-Krasovskii functional is constructed related to the Hurst index to deal with fractional Brownian motions, then the finite-time stochastic boundedness of the closed-loop bilinear system are studied. Last a numerical example are given and simulated to verify the effectiveness of the proposed method.