2016 年 29 巻 11 号 p. 486-496
In this paper we study the H∞ state estimation problems for a class of linear continuous-time systems with impulsive effects, stochastic uncertainties and discrete-time observation on the finite time interval. The systems include linear stochastic discrete-time systems. We adopt game theoretic and variational approach, and derive the impulsive Riccati equation which gives the necessary condition for the solvability of the H∞ estimation problems, the estimates and the form of H∞ estimators by calculating the stochastic first variation of the performance index under the dynamics constraint. By this approach the H∞ estimation problems are equivalent to the noncausal H∞ tracking control problems for the stochastic impulsive systems.