On parameter dependence of solutions of algebraic Riccati equations

DOI10.1007/BF02551288zbMath0658.93058OpenAlexW2032245132MaRDI QIDQ1111993

André C. M. Ran, Leiba Rodman

Publication date: 1988

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02551288

zbMATH Keywords

stabilizabilityalgebraic Riccati equations

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Matrix equations and identities (15A24)

Related Items

Identification of ARX systems with non-stationary inputs -- asymptotic analysis with application to adaptive input design, Some open problems in matrix theory arising in linear systems and control, Stable hermitian solutions of discrete algebraic Riccati equations, Montononicity of the optimal cost in the discrete-time regulator problem and Schur complements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The algebraic Riccati equation: Conditions for the existence and uniqueness of solutions
• Matrices and indefinite scalar products
• Maximal invariant neutral subspaces and an application to the algebraic Riccati equation
• A note on the structure of two subsets of the parameter space in adaptive control problems
• Perturbations of H-selfadjoint matrices, with applications to differential equations
• Theoretical developments in discrete-time control
• Stability of invariant maximal semidefinite subspaces. I
• An existence and monotonicity theorem for the discrete algebraic matrix Riccati equation
• Analytic feedback control and the algebraic Riccati equation
• Geometry of the Algebraic Riccati Equation, Part II
• Stabilizability of Linear Systems Over a Commutative Normed Algebra with Applications to Spatially-Distributed and Parameter-Dependent Systems
• Continuous-time system identification on compact parameter sets
• On the control of linear systems whose coefficients are functions of parameters
• Hermitian solutions of the discrete algebraic Riccati equation
• On Hermitian Solutions of the Symmetric Algebraic Riccati Equation
• Existence and uniqueness theorems for the algebraic Riccati equation
• On the numerical solution of the discrete-time algebraic Riccati equation
• On nonnegative invariant subspaces in indefinite scalar product spaces^†
• The stabilizing solution of the discrete algebraic riccati equation
• Über Algebren stetiger Operatorfunktionen
• The Stabilizing Solution of the Algebraic Riccati Equation
• A contribution to matrix quadratic equations