Boundary problems for Riccati and Lyapunov equations

DOI10.1017/S0013091500017363zbMath0569.47040MaRDI QIDQ3687281

Lucas Jodar

Publication date: 1986

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

bounded linear operatorsExistence and uniqueness theoremsBoundary problems for generalized Riccati and Lyapunov equationsreduction of the boundary problem to an algebraic operator equation

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (5)

Algebraic and differential operator equations ⋮ Solving linear and quadratic random matrix differential equations using: a mean square approach. The non-autonomous case ⋮ Solving linear and quadratic random matrix differential equations: a mean square approach ⋮ Unnamed Item ⋮ Solving algebraic and differential Riccati operator equations

Cites Work

• Unnamed Item
• Operators which are annihilated by analytic functions and invariant subspaces
• Sur l'étude directe d'équations non linéaires intervenant en théorie du contrôle optimal
• The infinite-dimensional Riccati equation
• On the matrix Riccati equation
• Sur l'équation de Riccati associé a des opérateurs non bornés, en dimension infinie
• On the Relation of Transmission-Line Theory to Scattering and Transfer
• Linear systems with two-point boundary Lyapunov and Riccati equations
• On the Operator Equation TX - XV = A
• On the Operator Equation AX + XB = Q
• On the matrix equations $AX - XB = C$ and $AX - YB = C$
• Mathematical Description of Linear Dynamical Systems
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix

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