\(H_2\) optimal model order reduction of the discrete system on the product manifold
From MaRDI portal
Publication:2310564
DOI10.1016/j.apm.2019.01.012zbMath1470.93034OpenAlexW2909881059WikidataQ128563701 ScholiaQ128563701MaRDI QIDQ2310564
Publication date: 6 April 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2019.01.012
Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) System structure simplification (93B11) Multilinear algebra, tensor calculus (15A69)
Related Items
Time domain model order reduction of discrete-time bilinear systems with Charlier polynomials ⋮ Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions ⋮ Internal model control design based on approximation of linear discrete dynamical systems ⋮ Model order reduction for discrete-time linear systems with the discrete-time polynomials
Cites Work
- Unnamed Item
- Unnamed Item
- A posteriori error bounds for discrete balanced truncation
- \(H_\infty\) model reduction for port-controlled Hamiltonian systems
- \(h_{2}\)-norm optimal model reduction for large scale discrete dynamical MIMO systems
- Linear time-invariant system reduction using a mixed methods approach
- Model reduction of discrete-time bilinear systems by a Laguerre expansion technique
- Steepest descent method with a generalized Armijo search for quasiconvex functions on Riemannian manifolds
- Order reduction of large scale second-order systems using Krylov subspace methods
- \(H_{\infty }\) model reduction for discrete-time singular systems
- \(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold
- Fast Approximation of the $H_\infty$ Norm via Optimization over Spectral Value Sets
- Feedback control of three-dimensional optimal disturbances using reduced-order models
- On a fundamental property of the cross- Gramian matrix
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- The Geometry of Algorithms with Orthogonality Constraints
- Balanced Truncation for Discrete Time Markov Jump Linear Systems
- Time Domain Model Order Reduction of General Orthogonal Polynomials for Linear Input-Output Systems
- A Krylov Subspace Method for Large-Scale Second-Order Cone Linear Complementarity Problem
