Stationary stable solutions to the Riccati operational equation arising in the optimal control theory

DOI10.1016/0362-546X(85)90099-9zbMath0611.49019OpenAlexW1979636931MaRDI QIDQ3752164

Mimma De Acutis

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90099-9

zbMATH Keywords

matrix Riccati equationexistence of stable positive self-adjoint stationary solutions

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Control/observation systems in abstract spaces (93C25) Equations involving linear operators, with operator unknowns (47A62) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

• Some remarks on an operational time dependent equation
• Asymptotic behaviour for a problem arising in the optimal control theory
• Quelques résultats d'existence, unicité et régularité pour un problème de la théorie du contrôle
• Sur l'étude directe d'équations non linéaires intervenant en théorie du contrôle optimal
• Sur l'équation de Riccati associé a des opérateurs non bornés, en dimension infinie
• Some classes of functions defined by difference or differential inequalities
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