Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
From MaRDI portal
Publication:3801403
DOI10.1137/0326049zbMath0654.93011OpenAlexW2071861954WikidataQ56319586 ScholiaQ56319586MaRDI QIDQ3801403
Keith Glover, Ruth F. Curtain, Jonathan R. Partington
Publication date: 1988
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0326049
linear systemsapproximationerror boundsrealizationoptimal Hankel-norm approximationstruncated impulse responsestruncated transfer function
Linear systems in control theory (93C05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Approximation by rational functions (41A20) Control/observation systems in abstract spaces (93C25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Realizations from input-output data (93B15)
Related Items
Analysis of fractional delay systems of retarded and neutral type, The Nehari problem for the Pritchard-Salamon class of infinite- dimensional linear systems: A direct approach, \(L^ \infty\) approximation of a parabolic system regarded as a delay system, Approximation of linear distributed parameter systems by delay systems, Robust stabilization of infinite dimensional systems by finite dimensional controllers, Completely J -positive linear systems of finite order, Convergence and convergence rate of the balanced realization truncations for infinite-dimensional discrete-time systems, Little Hankel operators on the half plane, Approximation of delay systems—a case study, Error bounds for model reduction of feedback-controlled linear stochastic dynamics on Hilbert spaces, Controller reduction in the two-block H∞-optimal design for distributed plants, On the stability of projections of balanced realizations, Laguerre series approximation of infinite dimensional systems, Partial fraction expansions for delay systems, State-space algorithm for the computation of superoptimal matrix interpolating functions, Parametric interpolation, H ∞-control and model reduction, Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes, Decay of singular values for infinite-dimensional systems with Gevrey regularity, Robust stabilizability of normalized coprime factors: the infinite-dimensional case, A note on spectral realisations for delay systems, Subspace-based identification of infinite-dimensional multivariable systems from frequency-response data, The Nehari problem for infinite-dimensional linear systems of parabolic type, Decay of Hankel singular values of analytic control systems, Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds, Approximation and identification of continuous-time systems, Diffusive systems and weighted Hankel operators, In memoriam Ruth Curtain, Model reduction for delay differential equations with guaranteed stability and error bound, A tensor decomposition approach to data compression and approximation of ND systems, Balanced POD for model reduction of linear PDE systems: convergence theory, Convergent Systems: Nonlinear Simplicity, BIBO stability of some classes of delay systems and fractional systems, Continuity of the spectral factorization on a vertical strip, Problem of mathematical data interpretation. II: Distributed-parameter systems, Balancing transformations for infinite-dimensional systems with nuclear Hankel operator, Equivalence of input-output stability and exponential stability for infinite-dimensional systems, Approximation of delay systems by Fourier-Laguerre series, On identification of stable systems and optimal approximation, \(L_ 1\) impulse response error bound for balanced truncation, Rational approximation of distributed parameter systems, Realization theory in Hilbert space, The quest for the right kernel in Bayesian impulse response identification: the use of OBFs, Worst-case identification in Banach spaces, Balanced approximation can be optimal, Nuclearity of Hankel operators for ultradifferentiable control systems, Balanced truncation model reduction of a nonlinear cable-mass PDE system with interior damping, Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems, Reduced-order compensators via balancing and central control design for a structural control problem, Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems, Reduced order control based on approximate inertial manifolds, System reduction via truncated Hankel matrices, A robust LQG-controller design for DPS, Sub-optimal Hankel norm approximation problem: a frequency-domain approach, A proper orthogonal decomposition approach to approximate balanced truncation of infinite dimensional linear systems, A bound on closed-loop performance based on finite-frequency response samples, Unnamed Item, Model order reduction for linear time delay systems: a delay-dependent approach based on energy functionals, Error analysis of an incremental proper orthogonal decomposition algorithm for PDE simulation data, Algebraic properties of systems of nuclear type, 2 Balancing-related model reduction methods, The Nehari problem for nonexponentially stable systems, Transfer functions of distributed parameter systems: a tutorial, Computation of balanced realisation approximations of delay systems, Explicit formulas for Hankel norm approximations of infinite-dimensional systems, The generalised singular perturbation approximation for bounded real and positive real control systems, A note on the existence, uniqueness and symmetry of par-balanced realizations, Balanced model reduction of symmetric composite systems, Model order reduction for (stochastic-) delay equations with error bounds, Unnamed Item, Robust approximate modelling of stable linear systems†, Rational approximation of a class of infinite-dimensional systems. I: Singular values of Hankel operators, Rational approximation of a class of infinite-dimensional systems. II: Optimnal convergence rates of \(L_{\infty}\) approximants, Approximation of unstable infinite-dimensional systems using coprime factors, An \(L_ \infty\)-convergent method to reduce frequency-weighted infinite- dimensional discrete-time systems
