Remote State Estimation of Multi-Output Systems Over Gaussian Channels With Feedback

In this letter, we address remote state estimation of a continuous-time multi-output linear time-invariant (LTI) system over power-constrained parallel Gaussian channels with feedback from decoder to encoder. We establish necessary and sufficient conditions on power constraints for designing a mean square stable remote estimator, considering both individual subchannel and total channel power constraints. The conditions involve the interplay between the topological entropies of cyclic subsystems of the plant and the communication channels. We also give design method of mean square stable remote estimator.