On stabilization methods of descriptor systems

DOI10.1016/0167-6911(94)00017-PzbMath0877.93092OpenAlexW1982514606MaRDI QIDQ673861

Juan-Miguel Gracia

Publication date: 28 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-6911(94)00017-p

zbMATH Keywords

Descriptor systemsNumerical algorithmsgeneralized Schur algorithmPole assignmentStabilization methods

Mathematics Subject Classification ID

Related Items (27)

Partial Stabilization of Descriptor Systems Using Spectral Projectors ⋮ Spectral division methods for block generalized Schur decompositions ⋮ Robustified \(H_2\)-control of a system with large state dimension ⋮ Computation of coprime factorizations of rational matrices ⋮ An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects ⋮ A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems ⋮ Novel bounded real lemma for discrete-time descriptor systems: application to \(H_\infty\) control design ⋮ Solution to sylvester equation associated to linear descriptor systems ⋮ New bounded real lemma for discrete-time singular systems ⋮ Disturbance decoupled observer design for descriptor systems ⋮ PARALLEL SPECTRAL DIVISION USING THE MATRIX SIGN FUNCTION FOR THE GENERALIZED EIGENPROBLEM ⋮ Nearest Matrix Polynomials With a Specified Elementary Divisor ⋮ Finding the Nearest Positive-Real System ⋮ Stabilization of solutions for nonlinear differential-algebraic equations ⋮ New admissibility conditions for singular linear continuous-time fractional-order systems ⋮ Stabilization of non-linear differential-algebraic equation systems ⋮ Stabilizability of the linear algebro-differential one-input control systems ⋮ A note on approximating the nearest stable discrete-time descriptor systems with fixed rank ⋮ Robust \(\mathcal S\)-regularity of matrix pencils applied to the analysis of descriptor models ⋮ Stability and stabilization of continuous descriptor systems: an LMI approach ⋮ Stability analysis and model order reduction of coupled systems ⋮ On the solution of a Sylvester equation appearing in descriptor systems control theory ⋮ On recursive computation of coprime factorizations of rational matrices ⋮ Partial eigenvalue assignment in continuous-time descriptor systems via derivative state feedback ⋮ An extended-observer approach to robust stabilisation of linear differential-algebraic systems ⋮ Stabilization of Incompressible Flow Problems by Riccati-based Feedback ⋮ Robust admissibility of uncertain switched singular systems

Cites Work

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• Rang revealing QR factorizations
• Singular control systems
• The autonomous linear quadratic control problem. Theory and numerical solution
• A Generalized Eigenvalue Approach for Solving Riccati Equations
• A Schur method for pole assignment
• Regularization of Descriptor Systems by Derivative and Proportional State Feedback
• An extension of Bass' algorithm for stabilizing linear continuous constant systems
• A stabilization algorithm for linear discrete constant systems
• Solution of the Sylvester matrix equation AXB ^T + CXD ^T = E
• An Algorithm for Generalized Matrix Eigenvalue Problems

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