Mean-Square Stability and Stabilizability Analyses of LTI Systems Under Spatially Correlated Multiplicative Perturbations
Jianqi Chen, Tian Qi, Jie Chen
TL;DR
This paper analyzes the stability and stabilizability of LTI systems affected by stochastic, spatially correlated multiplicative uncertainties, providing theoretical insights into their behavior under such perturbations.
Contribution
It introduces new methods for assessing mean-square stability and stabilizability of LTI systems with spatially correlated multiplicative uncertainties.
Findings
Derived conditions for mean-square stability.
Established criteria for stabilizability under correlated uncertainties.
Provided theoretical framework for analyzing such systems.
Abstract
In this paper, we investigate the mean-square stability and stabilizability problems for linear time-invariant systems under stochastic spatially correlated multiplicative uncertainties.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Fault Detection and Control Systems · Mathematical Control Systems and Analysis