Stochastic H>inf/infinf<∞>/inf<Control with (x,u,v)-dependent Noise

Authors:
  • HZHuanshui Zhang
    Huanshui Zhang
  • BCBor-Sen Chen
    Bor-Sen Chen

Abstract
In this paper, finite and infinite horizon stochastic H2/H∞control problems with all state, control input and external disturbance-dependent noise are studied. It is shown that the existence condition of finite horizon stochastic H2/H∞control is equivalent to the solvability of four coupled matrix-valued differential equations, and that of infinite horizon stochastic H2/H∞control is equivalent to the solvability of four coupled matrix-valued algebraic equations.

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