Mean-Square Stability and Stabilizability for LTI and Stochastic Systems Connected in Feedback

no code implementations • 6 Feb 2024 • Junhui Li, Jieying Lu, Weizhou Su

By proposing a key parameter called coefficient of frequency variation to characterize the correlation of the stochastic uncertainties, we present a necessary and sufficient condition of the mean-square stability for this MIMO stochastic feedback system.

Mean-square stability of linear systems over channels with random transmission delays

no code implementations • 27 Apr 2022 • Jieying Lu, Junhui Li, Weizhou Su

A necessary and sufficient condition of mean-square (input-output) stability is studied for the networked feedback systems in terms of the input-output model and state-space model.

Optimal output feedback control of a class of linear systems with quasi-colored control-dependent multiplicative noise

no code implementations • 3 Sep 2021 • Junhui Li, Jieying Lu, Weizhou Su

This paper addresses the mean-square optimal control problem for \a class of discrete-time linear systems with a quasi-colored control-dependent multiplicative noise via output feedback.

Mean-Square Input-Output Stability and Stabilizability of a Networked Control System with Random Channel Induced Delays

no code implementations • 29 Aug 2021 • Weizhou Su, Junhui Li, Jieying Lu

In this unreliable channel, the data transmission times, referred to as channel induced delays, are random values and the transmitted data could also be dropout with certain probability.