Generalized continuous-time Riccati theory

DOI10.1016/0024-3795(94)00035-2zbMath0855.93064OpenAlexW2028938161MaRDI QIDQ1906791

Vlad Ionescu, Cristian Oarǎ

Publication date: 6 February 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00035-2

zbMATH Keywords

algebraic Riccati equationsextended Hamiltonian pencilproper deflating subspace

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Matrix equations and identities (15A24) Linear-quadratic optimal control problems (49N10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Matrix pencils (15A22)

Related Items (7)

Continuous-time singular linear-quadratic control: necessary and sufficient conditions for the existence of regular solutions ⋮ Kalman-Popov-Yakubovich Lemma and the \(S\)-procedure: a historical essay ⋮ An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects ⋮ The generalized continuous algebraic Riccati equation and impulse-free continuous-time LQ optimal control ⋮ Conditions for solvability of extended algebraic Riccati equations with applications to dissipativity theory ⋮ The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system ⋮ On the reduction of the continuous-time generalized algebraic Riccati equation: an effective procedure for solving the singular LQ problem with smooth solutions

Cites Work

• The computation of Kronecker's canonical form of a singular pencil
• On computing the stabilizing solution of the discrete-time Riccati equation
• Geometric state-space theory in linear multivariable control: A status report
• Continuous and discrete-time Riccati theory: A Popov-function approach
• Proper deflating subspaces: Properties, algorithms and applications
• Generalized discrete-time Popov-Yakubovich theory
• Spectral and Inner-Outer Factorizations of Rational Matrices
• Spectral and inner-outer factorizations through the constrained Riccati equation
• Structural Invariants of Linear Multivariable Systems
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