Lower bounds on the solution of coupled algebraic Riccati equation

DOI10.1016/S0005-1098(00)00196-5zbMath0990.93043OpenAlexW1978366146MaRDI QIDQ5932279

Adam Czornik, Andrzej Swierniak

Publication date: 2 December 2001

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/122422

zbMATH Keywords

tracedeterminantcontinuous-time coupled algebraic Riccati equationdiscrete-time coupled algebraic Riccati equationlower bounds for eigenvalueslower matrix bounds

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalue problems (93B60) Matrix equations and identities (15A24) Linear-quadratic optimal control problems (49N10) Miscellaneous inequalities involving matrices (15A45)

Related Items (8)

New unified matrix upper bound on the solution of the continuous coupled algebraic Riccati equation ⋮ Upper solution bounds of the continuous coupled algebraic Riccati matrix equation ⋮ On the iterative method for the system of nonlinear matrix equations ⋮ Unified, improved matrix upper bound on the solution of the continuous coupled algebraic Riccati equation ⋮ Iterative algorithm for solving a system of nonlinear matrix equations ⋮ Upper solution bounds of the continuous and discrete coupled algebraic Riccati equations ⋮ New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation ⋮ The existence uniqueness and the fixed iterative algorithm of the solution for the discrete coupled algebraic Riccati equation

Cites Work

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• Bounds for the eigenvalues of the solution of the unified algebraic Riccati matrix equation
• A way to stabilize linear systems with delayed state
• Adaptive computed torque control for rigid link manipulations
• On upper bounds for the unified algebraic Riccati equation
• On the solution of discrete-time Markovian jump linear quadratic control problems
• Lyapunov matrix equations in system stability and control.
• A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
• Discrete-time markovian-jump linear quadratic optimal control
• Simultaneous eigenvalue lower bounds for the Riccati matrix equation
• A lower bound for the solution of the algebraic Riccati equation of optimal control and a geometric convergence rate for the Kleinman algorithm
• A new lower bound on the cost of optimal regulators
• Solution and asymptotic behavior of coupled Riccati equations in jump linear systems
• A new approach for the robust stability of perturbed systems with a class of noncommensurate time delays
• Uncoupled Riccati iterations for the linear quadratic control problem of discrete-time Markov jump linear systems
• Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results
• LMI optimization for nonstandard Riccati equations arising in stochastic control
• Inequalities: theory of majorization and its applications
• Upper bounds on the solution of coupled algebraic Riccati equation

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