A note on periodic solutions of Riccati equations

DOI10.1007/s11071-010-9703-9zbMath1209.34049OpenAlexW1978299576MaRDI QIDQ619532

M. R. Pournaki, M. R. Mokhtarzadeh, Abdolrahman Razani

Publication date: 25 January 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9703-9

zbMATH Keywords

Schauder's fixed point theoremperiodic solutionBanach spacecompact operatorscalar Riccati differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34)

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Cites Work

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• Riccati differential equations
• Existence conditions and properties for the maximal periodic solution of periodic Riccati difference equations
• Periodic solutions of periodic Riccati equations
• On the Phase Portrait of the Matrix Riccati Equation Arising from the Periodic Control Problem
• The difference periodic Ricati equation for the periodic prediction problem
• The Periodic Lyapunov Equation

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