2001•Unpublished venueRequires access

On Some Propertions of Riccati Equation and Their Application

Shiwu Xiao

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Abstract

Generally, the solution of Riccati equation cannot be given through elementary function. The paper here gives several propertions of Riccati equation,and the equation can be simplified by the several propertions. Further, the soluble conditions of the equation have been introduced in the paper, and the condition has been extended with obtaining two conclusions.

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What this paper is about

Generally, the solution of Riccati equation cannot be given through elementary function. The paper here gives several propertions of Riccati equation,and the equation can be simplified by the several propertions. Further, the soluble conditions of the equation have been introduced in the paper, and the condition has been extended with obtaining two conclusions.

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Available abstract

Generally, the solution of Riccati equation cannot be given through elementary function. The paper here gives several propertions of Riccati equation,and the equation can be simplified by the several propertions. Further, the soluble conditions of the equation have been introduced in the paper, and the condition has been extended with obtaining two conclusions.

Key concepts: Riccati equation, Algebraic Riccati equation, Mathematics, Linear-quadratic regulator, Function (biology), Applied mathematics, Mathematical analysis, Differential equation

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