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Finite-horizon H∞ Consensus Control for Discrete-time Stochastic Multiagent Systems with (x, u, v)-dependent Noise and Markov Jumps

Jie Wang and Xin Chen*
International Journal of Control, Automation, and Systems, vol. 20, no. 6, pp.1935-1942, 2022

Abstract : This paper focuses on discrete-time stochastic multi-agent systems, in which the stochastic noise can influence not only the states and the external disturbances but also the control inputs. Based on this model, the finitehorizon H∞ consensus control problem is analyzed to alleviate the effects of the disturbances and reach consensus simultaneously. By completing squares method, sufficient conditions for H∞ control protocols are established via a series of coupled Riccati difference equations. Finally, an algorithm is supplied and a numerical example is given to show the validity of our results.

Keyword : H∞ consensus control, Markov jumps, multi-agent systems, (x,u, v)-dependent noise.

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