Frequency Interval Cross Gramians for Linear and Bilinear Systems

DOI10.1002/asjc.1330zbMath1358.93089OpenAlexW2417154863MaRDI QIDQ2970868

Ahmad Jazlan, Hamid Reza Shaker, Roberto Togneri, Ha Binh Minh, Victor Sreeram

Publication date: 31 March 2017

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asjc.1330

zbMATH Keywords

bilinear systemsSylvester equationsfinite frequency intervalcontrol configuration selectioncross Gramiansfrequency interval gramians

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Linear systems in control theory (93C05) Observability (93B07) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

An approach to \(H_{2,\omega}\) model reduction on finite interval for bilinear systems ⋮ On the existence of frequency-interval Gramians for bilinear systems ⋮ New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian ⋮ Dimension reduction for k-power bilinear systems using orthogonal polynomials and Arnoldi algorithm

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