Computing the $L_1$-Norm of Continuous-Time Linear Systems

DOI10.1137/040613482zbMath1207.93028OpenAlexW2031288748MaRDI QIDQ3544227

Arno Linnemann

Publication date: 5 December 2008

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040613482

zbMATH Keywords

sensitivityintegrationcontrol system\(L_1\)-normimpulse responsetruncation errorcomputationmatrix exponentialtrapezoidal rulenondifferentiable integrandsystem norm

Mathematics Subject Classification ID

Factorization of matrices (15A23) Sensitivity (robustness) (93B35) Multivariable systems, multidimensional control systems (93C35) Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05) Robust stability (93D09) Numerical quadrature and cubature formulas (65D32) Control/observation systems governed by ordinary differential equations (93C15) Numerical integration (65D30)

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