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Stability Conditions for Remote State Estimation of Multiple Systems over Multiple Markov Fading Channels

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arxiv 2104.04181 v3 pith:ZXRK4VNF submitted 2021-04-09 eess.SY cs.ITcs.SYmath.IT

Wanchun Liu , Daniel E. Quevedo , Karl H. Johansson , Branka Vucetic , Yonghui Li This is my paper · ORCID
classification eess.SYcs.ITcs.SYmath.IT
keywords multipleestimationremotestabilitysystemchannelsconditionspolicy
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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.

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