Robust \(H_\infty\) filtering and control for a class of linear systems with fractional stochastic noise

DOI10.1016/j.physa.2019.04.194OpenAlexW2939935678MaRDI QIDQ2160088

Weihai Zhang, Shi Lu

Publication date: 2 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.04.194

zbMATH Keywords

fractional Brownian motionrobust \(H_\infty\) filteringrobust \(H_\infty\) controlfractional infinitesimal operator

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Statistical mechanics, structure of matter (82-XX)

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Mean square exponential stabilization of uncertain time‐delay stochastic systems with fractional Brownian motion ⋮ Stabilization of delayed neutral semi-Markovian jumping stochastic systems driven by fractional Brownian motions: \(H_\infty\) control approach ⋮ Observer-based SMC for stochastic systems with disturbance driven by fractional Brownian motion

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