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Optimal ℋ2 filtering for linear stochastic systems with multiplicative white noise perturbations and sampled measurements

机译:具有乘性白噪声扰动和采样测量的线性随机系统的最优ℋ 2 滤波

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This paper addresses the problem of optimal ℋ filtering for a class of continuous-time stochastic systems with periodic sampled measurements. The class of admissible filters consists of deterministic continuous-time periodic systems with finite jumps. The optimal solution of the considered optimization problem is obtained by integrating a suitably defined generalized continuous-time Riccati equation with finite jumps.
机译:本文针对一类具有周期性采样测量的连续时间随机系统的最优ℋ滤波问题。允许滤波器的类别由具有有限跳跃的确定性连续时间周期系统组成。通过将适当定义的广义连续时间Riccati方程与有限跳变进行积分,可以得出所考虑的优化问题的最优解。

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