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Stability Conditions for Remote State Estimation of Multiple Systems over Multiple Markov Fading Channels (2104.04181v3)
Published 9 Apr 2021 in eess.SY, cs.IT, cs.SY, and math.IT
Abstract: We investigate the stability conditions for remote state estimation of multiple linear time-invariant (LTI) systems over multiple wireless time-varying communication channels. We answer the following open problem: what is the fundamental requirement on the multi-sensor-multi-channel system to guarantee the existence of a sensor scheduling policy that can stabilize the remote estimation system? We propose a novel policy construction and analytical framework and derive the necessary-and-sufficient stability condition in terms of the LTI system parameters and the channel statistics.