\(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold
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Publication:2628580
DOI10.1016/j.jfranklin.2017.02.019zbMath1364.93114OpenAlexW2593777971MaRDI QIDQ2628580
Publication date: 2 June 2017
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.02.019
Stiefel manifoldoptimal \(H_2\) model order reduction (MOR)general MIMO linear time-invariant (LTI) systems
Controllability (93B05) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Observability (93B07) System structure simplification (93B11)
Related Items (13)
HSH-norm optimal MOR for the MIMO linear time-invariant systems on the Stiefel manifold ⋮ Development of time-limited model reduction technique for one-dimensional and two-dimensional systems with error bound via balanced structure ⋮ \( \varepsilon \)-embedding model reduction method for time-delay differential algebra systems ⋮ Relative error-based time-limited \(\mathcal{H}_2\) model order reduction via oblique projection ⋮ Riemannian Modified Polak--Ribière--Polyak Conjugate Gradient Order Reduced Model by Tensor Techniques ⋮ A trust-region method for \(H_2\) model reduction of bilinear systems on the Stiefel manifold ⋮ Parameterized model order reduction for linear DAE systems via $\varepsilon$-embedding technique ⋮ New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian ⋮ Model order reduction for discrete-time linear systems with the discrete-time polynomials ⋮ H2 model reduction for negative imaginary systems ⋮ \(H_2\) optimal model order reduction of the discrete system on the product manifold ⋮ H2 optimal model order reduction on the Stiefel manifold for the MIMO discrete system by the cross Gramian ⋮ H2 OPTIMAL MODEL REDUCTION OF COUPLED SYSTEMS ON THE GRASSMANN MANIFOLD
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