Existence and uniqueness of extremal solutions of the Riccati equation, and symplectic geometry (Q1058767)
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scientific article; zbMATH DE number 3901685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of extremal solutions of the Riccati equation, and symplectic geometry |
scientific article; zbMATH DE number 3901685 |
Statements
Existence and uniqueness of extremal solutions of the Riccati equation, and symplectic geometry (English)
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1985
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Symplectic geometry is applied to the problem of existence and uniqueness of the stabilizing solution of algebraic Riccati equations. The existence of positive Lagrangian subspace and controllability assumptions determine the special properties of a Hamiltonian, arising from linear-quadratic control problem.
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Symplectic geometry
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algebraic Riccati equations
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linear-quadratic control problem
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