On the periodic solutions of the Matrix Riccati equation

DOI10.1007/BF01744580zbMath0526.34028MaRDI QIDQ3041552

Mark A. Shayman

Publication date: 1983

Published in: Mathematical Systems Theory (Search for Journal in Brave)

zbMATH Keywords

controllabilityHamiltonian matrixmatrix Riccati equationlinear quadratic control

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Linear systems in control theory (93C05) Control problems involving ordinary differential equations (34H05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (2)

Remarks on the periodic orbits of the matrix Riccati equation ⋮ Algebraic Riccati equation and symplectic algebra

Cites Work

• Unnamed Item
• Finite escape time for Riccati differential equations
• On the matrix Riccati equation
• Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations, II
• On the Variety of Invariant Subspaces of a Finite-Dimensional Linear Operator
• Existence and uniqueness theorems for the algebraic Riccati equation
• Periodic oscillations of matrix Riccatti equations in time-invariant systems
• Matrix quadratic equations
• Global aspects of the matrix Riccati equation
• Matrix Quadratic Solutions

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