A fast algorithm to compute the \(H_{\infty}\)-norm of a transfer function matrix

From MaRDI portal
Publication:913722

DOI10.1016/0167-6911(90)90049-ZzbMath0699.93021OpenAlexW2054155441MaRDI QIDQ913722

N. E. Zubov

Publication date: 1990

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(90)90049-z



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (59)

On input/output stabilization of singular integrodifferential systemsA Structure Preserving Shift-Invert Infinite Arnoldi Algorithm for a Class of Delay Eigenvalue Problems with Hamiltonian SymmetryA simple technique for computing the \(H_ \infty\)-norm of polynomialsWell-conditioned ultraspherical and spectral integration methods for resolvent analysis of channel flows of Newtonian and viscoelastic fluidsFaster and More Accurate Computation of the $\mathcal{H}_\infty$ Norm via OptimizationStability and distance to instability for polynomial matrix families. Complex perturbationsRobustness measures for linear systems with application to stability radii of Hurwitz and Schur polynomialsOn the real stability radius of sparse systemsError estimation in reduced basis method for systems with time-varying and nonlinear boundary conditionsNon-parametric methods for \({\mathcal L}_2\)-gain estimation using iterative experimentsLarge-Scale Estimation of Dominant Poles of a Transfer Function by an Interpolatory FrameworkComputing the distance to continuous-time instability of quadratic matrix polynomialsA new approach for calculating the real stability radiusConvergence Rate Analysis and Improved Iterations for Numerical Radius ComputationSOBMOR: Structured Optimization-Based Model Order ReductionModel reduction by moment matching with preservation of global stability for a class of nonlinear modelsSubspace method for the estimation of large-scale structured real stability radiusFast computation of \(\mathrm{sep}_\lambda\) via interpolation-based globality certificatesReset-free data-driven gain estimation: power iteration using reversed-circulant matricesApproximating the Real Structured Stability Radius with Frobenius-Norm Bounded PerturbationsLarge-Scale Computation of $\mathcal{L}_\infty$-Norms by a Greedy Subspace MethodTracking amplitude extrema of nonlinear frequency responses using the harmonic balance methodModular model reduction of interconnected systems: a robust performance analysis perspectiveOn the stability radius for linear time-delay systemsand ℋ2guaranteed costs computation for uncertain linear systemsH  norm computation for LTV systems using nonlinear optimal control algorithms\(\mathcal{L}_{\infty}\)-norm computation for large-scale descriptor systems using structured iterative eigensolversA regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its \(L_{\infty}\)-normDesign of robust decentralised controllers for MIMO plants with delays through network structure exploitationA bisection method for measuring the distance of a quadratic matrix polynomial to the quadratic matrix polynomials that are singular on the unit circleTheories for design and analysis of robust \(H_\infty/H_-\) fault detectorsSecond-order nonsmooth optimization for \(H_{\infty}\) synthesisValidated numerical computation of the \(\mathcal L_{\infty}\)-norm for linear dynamical systemsNumerical computation of inner-outer factors for a class of retarded delay systemsA fast algorithm for the computation of an upper bound on the \(\mu\)-normComputation of extremum singular values and the strong \(H_\infty\) norm of SISO time-delay systemsA direct method for computing the \(L^{\infty}\) norm of a transfer matrixA Multimodal Nonlinear Tuned Vibration AbsorberLarge-Scale and Global Maximization of the Distance to InstabilityApproximation of stability radii for large-scale dissipative Hamiltonian systemsReinforced concrete seismically-excited frame design with a new mixed \(H_2/H_{\infty}\) optimization approachA structured pseudospectral method for \(\mathcal {H}_{\infty}\)-norm computation of large-scale descriptor systemsController tuning approach with robustness, stability and dynamic criteria for the original AVR systemWorst-case amplification of disturbances in inertialess Couette flow of viscoelastic fluidsRobust Stability of Differential-Algebraic EquationsBundle Method for Non-Convex Minimization with Inexact Subgradients and Function ValuesStability analysis and model order reduction of coupled systemsA Newton-based method for the calculation of the distance to instabilityNumerical Linear Algebra Methods for Linear Differential-Algebraic EquationsNonsmooth optimization for multidisk \(H_\infty\) synthesisFixed-structure robust controller design for chatter mitigation in high-speed millingNonsmooth µ-synthesisOn properties of univariate max functions at local maximizersOn the computation of the optimal \(\mathbf H_\infty\) norms for two feedback control problemsA Subspace Method for Large-Scale Eigenvalue OptimizationDesign of structured controllers for linear time-delay systemsAlternating implicit and semi-implicit iterations in the periodic QZ algorithmROBUST BIFURCATION ANALYSIS OF SYSTEMS WITH DYNAMIC UNCERTAINTIESComputation of the structured stability radius via matrix sign function



Cites Work


This page was built for publication: A fast algorithm to compute the \(H_{\infty}\)-norm of a transfer function matrix