Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On the numerical solution of the discrete-time algebraic Riccati equation - MaRDI portal

On the numerical solution of the discrete-time algebraic Riccati equation

From MaRDI portal
Publication:3906016

DOI10.1109/TAC.1980.1102434zbMath0456.49010MaRDI QIDQ3906016

No author found.

Publication date: 1980

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)




Related Items (92)

On equivalence of pencils from discrete-time and continuous-time controlDistributional Robustness in Minimax Linear Quadratic Control with Wasserstein DistanceA spectral factorization algorithm for discrete-time descriptor systems via generalized eigenproblemsConstruction and parameterization of all static and dynamic \(H_2\)-optimal state feedback solutions for discrete-time systemsThe linear-quadratic optimal regulator for descriptor systems: Discrete- time caseTransformations between discrete-time and continuous-time algebraic Riccati equationsOn the solution of the rational matrix equation \(X=Q+LX^{ - 1}L^{T}\)On the semigroup of standard symplectic matrices and its applicationsDiscrete (J,J′)-lossless factorizationComputational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati EquationsState-space approach to discrete-time,ℋ∞controlOptimal control of discrete-time singularly perturbed systemsParallel algorithms for algebraic Riccati equationsThe discrete time parametric mixed sensitivity problemLinear quadratic optimal control for discrete descriptor systemsSolution of the singularly perturbed matrix difference Riccati equationA new method for computing the closed-loop eigenvalues of a discrete-time algebraic Riccati equationHermitian solutions of the discrete algebraic Riccati equationBackward error for the discrete-time algebraic Riccati equationOn parameter dependence of solutions of algebraic Riccati equationsHMDR and FMDR algorithms for the generalized eigenvalue problemA survey of spectral factorization methodsTowards a link between the factorization approach and MIMO robust adaptive controlApproximation of discrete-time LQG compensators for distributed systems with boundary input and unbounded measurementObserver design of singularly perturbed discrete systems via time-scale decomposition approachRate of stability of solutions of matrix polynomial and quadratic equationsA systolic algorithm for Riccati and Lyapunov equationsThe linear quadratic regulator for periodic hybrid systemsA step toward a unified treatment of continuous and discrete time control problemsRobust stabilizability of discrete-time systems with normalized stable factor perturbationSimple method for solving the constant gains of Kalman filters with single outputRobust Control of a Distillation ColumnAn efficient and stable structure preserving algorithm for computing the eigenvalues of a Hamiltonian matrixTwo-Riccati formulae for the discrete-time H-control problemIterative and doubling algorithms for Riccati‐type matrix equations: A comparative introductionCovariance bounds for discrete-time linear systems with time-varying parameter uncertaintyInheritance properties of the conjugate discrete-time algebraic Riccati equationSySCoRe: Synthesis via Stochastic Coupling RelationsDiscrete-time optimal regulator with closed-loop poles in a prescribed regionBackward Error Analysis for Eigenproblems Involving Conjugate Symplectic MatricesHermitian solutions of the discrete-time algebraic Riccati equationGeometric multiscale decompositions of dynamic low-rank matricesOn the numerical solution of large-scale sparse discrete-time Riccati equationsLarge-scale discrete-time algebraic Riccati equations -- doubling algorithm and error analysisA generalized structure-preserving doubling algorithm for generalized discrete-time algebraic Riccati equationsA generalized structured doubling algorithm for the numerical solution of linear quadratic optimal control problemsDoubling algorithm for continuous-time algebraic Riccati equationAn accelerated technique for solving one type of discrete-time algebraic Riccati equationsStable hermitian solutions of discrete algebraic Riccati equationsOptimal target criteria for stabilization policyAn iterative block-diagonalization procedure for decentralized optimal controlAn efficient LQR design for discrete-time linear periodic system based on a novel lifting methodOn computing the stabilizing solution of the discrete-time Riccati equationAn efficient algorithm for periodic Riccati equation with periodically time-varying input matrixStructure-Preserving Algorithms for Periodic Discrete-Time Algebraic Riccati EquationsNonrecursive solution for the discrete algebraic Riccati equation and \(X + \mathcal A^\ast X^{-1}\mathcal A=L\)Adaptive control design under structured model information limitation: a cost-biased maximum-likelihood approachSolutions of higher-order Riccati-type matrix equationsA characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference formsRelationship between three discrete-time H algebraic Riccati equation solutionsUnnamed ItemQuadratic Optimal Fault Tolerant Control on Wireless Networked Control Systems for Real-Time Industrial ApplicationsA superposition principle for the Kalman filterLinear-quadratic mean field control: the invariant subspace methodStructured doubling algorithms for weakly stabilizing Hermitian solutions of algebraic Riccati equationsAn iterative algorithm for the solution of the discrete-time algebraic Riccati equationOn computing the eigenvalues of a symplectic pencilPositive and negative solutions of dual Riccati equations by matrix sign function iterationDetermination of steady state behavior for periodic discrete filtering problemsNormal forms of symplectic pencils and the discrete-time algebraic Riccati equationOn Hamiltonian and symplectic Hessenberg formsMatrix bounds of the discrete ARE solutionEstimation for boundary-value descriptor systemsUnnamed ItemA block iterative algorithm of the continuous Riccati equation in the optimal shape control\((J,J')\)-spectral factorization and conjugation for discrete-time descriptor systemPole assignment for uncertain systems in a specified disk by output feedbackSquare indefinite LQ-problem: Existence of a unique solutionTheoretical developments in discrete-time controlSmoothing of adaptive eigenvector extraction in nested orthogonal complement structure with minimum disturbance principleThe precise integration of the Riccati equation and its application in the optimal shape controlA Core-Chasing Symplectic QR Algorithm\(SR\) and \(SZ\) algorithms for the symplectic (butterfly) eigenproblemoutput feedback control for linear discrete time-varying systems via the bounded real lemmaDiscrete-time Riccati equations in open-loop Nash and Stackelberg games.Computational algorithms for linear control systems: a brief surveyThe symplectic eigenvalue problem, the butterfly form, the SR algorithm, and the Lanczos methodFault-tolerant cooperative output regulation for multi-vehicle systems with sensor faultsOn the geometry of symplectic pencils arising from discrete-time matrix equationsThe design of output regulators for discrete-time linear systems by projective controlsContinuous and discrete-time Riccati theory: A Popov-function approachCondition numbers of algebraic Riccati equations in the Frobenius norm




This page was built for publication: On the numerical solution of the discrete-time algebraic Riccati equation