The existence of a unique and bounded solution of the algebraic Riccati equation of multimodel estimation and control problems

DOI10.1016/0167-6911(88)90051-5zbMath0658.93018OpenAlexW2090806747MaRDI QIDQ1111981

Zoran Gajic

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0167-6911(88)90051-5

zbMATH Keywords

algebraic matrix Riccati equationexistence of a unique and bounded solutionmultimodeling

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Algebraic methods (93B25) Implicit function theorems, Jacobians, transformations with several variables (26B10) Singular perturbations for ordinary differential equations (34E15)

Related Items (5)

New results for near-optimal control of linear multiparameter singularly perturbed systems. ⋮ Recursive approach of optimal Kalman filtering problem for multiparameter singularly perturbed systems ⋮ Asymptotic expansions and a new numerical algorithm of the algebraic Riccati equation for multiparameter singularly perturbed systems ⋮ Near-optimal control for multiparameter singularly perturbed stochastic systems ⋮ A new approach to robust guaranteed cost control for uncertain multimodeling systems

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• Applications of Singular Perturbation Techniques to Control Problems
• Control strategies for decision makers using different models of the same system
• Near-optimal control of composite systems: The multi time-scale approach

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