Control of Continuous-Time Linear Gaussian Systems Over Additive Gaussian Wireless Fading Channels: A Separation Principle

• Published in: IEEE transactions on automatic control Vol. 53; no. 4; pp. 1013 - 1019
• Main Authors: Charalambous, C.D., Farhadi, A., Denic, S.Z.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.05.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Additive white noise; Additives; Applied sciences; Asymptotic properties; Channel capacity; Channels; Communication channels; Communication system control; Communication systems; Computer science; control theory; systems; Computer systems and distributed systems. User interface; Continuous time; Control system analysis; Control systems; Control theory. Systems; Exact sciences and technology; Fading; Gaussian; Modelling and identification; mutual information; networked control system; Observability; Optimal control; Optimization; Software; stabilizability and observability; Studies; Sufficient conditions; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Wireless sensor networks; stabilizability and observability; Invariant subspace; Necessary and sufficient condition; Continuous time; Linear time; Modeling; Stabilizability; Continuous control; White noise; Controllability; Eigenvalue problem; Invarying system; Observability; Additive noise; Fading channels; Channel capacity; Gaussian channel; networked control system; Distributed system; Separation principle; Gaussian process; Distributed control; Wireless network; Capacity constraint; Asymptotic approximation; Mutual information

This note is concerned with the control of continuous-time linear Gaussian systems over additive white noise wireless fading channels subject to capacity constraints. Necessary and sufficient conditions are derived, for bounded asymptotic and asymptotic observability and stabilizability in the mean...