Balanced truncation approach to model reduction of Markovian jump time-varying delay systems

DOI10.1016/j.jfranklin.2015.05.041zbMath1395.93137OpenAlexW597440417WikidataQ57589555 ScholiaQ57589555MaRDI QIDQ1660657

Peng Shi, Yu-Xin Zhao, Hui-yan Zhang, Li-Gang Wu

Publication date: 16 August 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2015.05.041

zbMATH Keywords

model reductionbalanced truncationbalanced transformation matrixMarkovian jump time-varying delay systems

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05) System structure simplification (93B11) Transformations (93B17)

Related Items (11)

\(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold ⋮ Laguerre functions approximation for model reduction of second order time-delay systems ⋮ Dissipative output feedback control for semi-Markovian jump systems under hybrid cyber-attacks ⋮ Extended dissipativity asynchronous static output feedback control of Markov jump systems ⋮ \(L_1\) fuzzy observer design for nonlinear positive Markovian jump system ⋮ Unnamed Item ⋮ Asymptotic stability analysis and model reduction for spatially interconnected time-delay systems ⋮ Unnamed Item ⋮ Reduced-order filter design of T-S fuzzy stochastic systems with time-varying delay ⋮ Model reduction for discrete-time periodic systems with dissipativity ⋮ Modeling of discrete-time fractional-order state space systems using the balanced truncation method

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