TY - JOUR

T1 - Data rate limits for the remote state estimation problem

AU - Kawan, Christoph

AU - Matveev, A.

AU - Pogromsky, A.Y.

PY - 2020

Y1 - 2020

N2 - In the context of control and estimation under information constraints, restoration entropy measures the minimal required data rate above which a system can be regularly observed. The observer here is assumed to receive its state information through a communication channel of a finite bit-rate capacity. In this paper, we provide a new characterization of restoration entropy which does not require to compute any temporal limit, i.e., an asymptotic quantity. Our new formula is based on the idea of finding an adapted Riemannian metric on the state space that allows to ‘see’ the decisive quantity that determines the restoration entropy - a certain type of Lyapunov exponent - in only one step of time.

AB - In the context of control and estimation under information constraints, restoration entropy measures the minimal required data rate above which a system can be regularly observed. The observer here is assumed to receive its state information through a communication channel of a finite bit-rate capacity. In this paper, we provide a new characterization of restoration entropy which does not require to compute any temporal limit, i.e., an asymptotic quantity. Our new formula is based on the idea of finding an adapted Riemannian metric on the state space that allows to ‘see’ the decisive quantity that determines the restoration entropy - a certain type of Lyapunov exponent - in only one step of time.

KW - entropy

KW - nonlinear systems

KW - First

KW - second Lyapunov methods

UR - https://www.sciencedirect.com/science/article/pii/S2405896320314543

M3 - Conference article

VL - 53

SP - 4955

EP - 4960

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 2

T2 - 21th IFAC World Congress

Y2 - 12 July 2020 through 17 July 2020

ER -