On a fundamental property of the cross- Gramian matrix

DOI10.1109/TCS.1984.1085524zbMath0538.93008OpenAlexW2065070456MaRDI QIDQ3325549

H. Nicholson, K. Vincenza Fernando

Publication date: 1984

Published in: IEEE Transactions on Circuits and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tcs.1984.1085524

zbMATH Keywords

cross-Gramian matrixsymmetric multivariable systems

Mathematics Subject Classification ID

Controllability (93B05) Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Minimal systems representations (93B20) Observability (93B07) Transformations (93B17) Vector spaces, linear dependence, rank, lineability (15A03) Model systems in control theory (93C99)

Related Items (11)

Spectral and modal methods for studying stability and control of electric power systems ⋮ \(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold ⋮ Computational Methods for Linear Matrix Equations ⋮ Model order reduction for linear and nonlinear systems: a system-theoretic perspective ⋮ Interconnection-based model order reduction -- a survey ⋮ Frequency Interval Cross Gramians for Linear and Bilinear Systems ⋮ Cross-Gramian-based combined state and parameter reduction for large-scale control systems ⋮ Solving stable Sylvester equations via rational iterative schemes ⋮ Recursive reduced-order algorithm for singularly perturbed cross Grammian algebraic Sylvester equation ⋮ \(H_2\) optimal model order reduction of the discrete system on the product manifold ⋮ Control configuration selection for bilinear systems via generalised Hankel interaction index array

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