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- W4377013985 abstract "This paper is concerned with the optimal linear quadratic Gaussian (LQG) control problem for discrete time-varying system with multiple input delays and multiplicative noises. The main contributions are two-fold. Firstly, when the state variables can be observed exactly, we obtain a necessary and suffcient condition for the multiple-delays system in terms of the non-homogeneous relationship between the state and costate, which is the solution to the coupled forward and backward stochastic difference equations. Secondly, when the state variables are partially observed, we derive a suboptimal linear output feedback controller for the discrete-time system based on the obtained results of the optimal LQG control. Numerical examples are shown to illustrate the proposed algorithm." @default.
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- W4377013985 date "2023-05-18" @default.
- W4377013985 modified "2023-09-29" @default.
- W4377013985 title "Optimal Control of Discrete Time-varying System with Multiple Delays and Multiplicative Noises" @default.
- W4377013985 doi "https://doi.org/10.20944/preprints202305.1330.v1" @default.
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