English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this technical note, we study the mean square stability-based analysis ofstochastic continuous-time linear networked systems. The stochastic uncertaintyis assumed to enter multiplicatively in system dynamics through input andoutput channels of the plant. Necessary and sufficient conditions for meansquare exponential stability are expressed in terms of the input-outputproperty of deterministic or nominal system dynamics captured by the {\it meansquare} system norm and variance of channel uncertainty. The stability resultscan also be interpreted as a small gain theorem for continuous-time stochasticsystems. Linear Matrix Inequalities (LMI)-based optimization formulation isprovided for the computation of mean square system norm for stability analysis.For a special case of single input channel uncertainty, we also prove afundamental limitation result that arises in the mean square exponentialstabilization of the continuous-time linear system. Overall, the contributionsin this work generalize the existing results on stability analysis fromdiscrete-time linear systems to continuous-time linear systems withmultiplicative uncertainty. Simulation results are presented for WSCC $9$ buspower system to demonstrate the application of the developed framework.

Mean Square Stability Analysis of Stochastic Continuous-time Linear Networked Systems