English

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

Systems and Control 2024-10-28 v3 Information Theory Systems and Control 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.

Keywords

Cite

@article{arxiv.2104.04181,
  title  = {Stability Conditions for Remote State Estimation of Multiple Systems over Multiple Markov Fading Channels},
  author = {Wanchun Liu and Daniel E. Quevedo and Karl H. Johansson and Branka Vucetic and Yonghui Li},
  journal= {arXiv preprint arXiv:2104.04181},
  year   = {2024}
}

Comments

Paper accepted by IEEE Transactions on Automatic Control