\(\mathcal{H}_2(t_f)\) optimality conditions for a finite-time horizon

DOI10.1016/j.automatica.2019.108604zbMath1429.93044arXiv1806.10797OpenAlexW2885585524MaRDI QIDQ2280989

Klajdi Sinani, Serkan Gugercin

Publication date: 19 December 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10797

zbMATH Keywords

interpolationlinear systemsunstable system\(\mathcal{H}_2\)-optimalitytime-limited model reduction

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) System structure simplification (93B11)

Related Items

$$\mathcal {H}_2$$-gap Model Reduction for Stabilizable and Detectable Systems ⋮ On frequency- and time-limited \(\mathcal{H}_2\)-optimal model order reduction ⋮ Relative error-based time-limited \(\mathcal{H}_2\) model order reduction via oblique projection ⋮ Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems ⋮ Time- and frequency-limited H₂-optimal model order reduction of bilinear control systems

Uses Software

• benchmodred

Cites Work

• Unnamed Item
• Model order reduction for linear and nonlinear systems: a system-theoretic perspective
• Interpolatory weighted-\(\mathcal{H}_2\) model reduction
• Identification and rational \(L^ 2\) approximation: A gradient algorithm
• \(\mathcal H_2\)-optimal model reduction of MIMO systems
• \(h_{2}\)-norm optimal model reduction for large scale discrete dynamical MIMO systems
• A new algorithm for \(L_ 2\) optimal model reduction
• Balanced truncation model order reduction in limited time intervals for large systems
• Near-optimal frequency-weighted interpolatory model reduction
• Model reduction of linear time-varying systems over finite horizons
• Solution of the Time-Domain Inverse Resistivity Problem in the Model Reduction Framework Part I. One-Dimensional Problem with SISO Data
• A reduced basis method for microwave semiconductor devices with geometric variations
• Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems
• Model reduction in limited time and frequency intervals
• Interpolatory Model Reduction of Large-Scale Dynamical Systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Second-order algorithm for optimal model order reduction
• $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
• The optimal projection equations for model reduction and the relationships among the methods of Wilson, Skelton, and Moore
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Frequency weighted model reduction via optimal projection
• Synthesis of minimum roundoff noise fixed point digital filters
• Matrix RationalH₂Approximation: A Gradient Algorithm Based on Schur Analysis
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• An approximate approach to H/sup 2/ optimal model reduction
• Nonlinear Parametric Inversion Using Interpolatory Model Reduction
• Approximation of Large-Scale Dynamical Systems