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Start Over Author "Wu, Zhi-gang" Publisher springer science and business media llc
15 results on '"Wu, Zhi-gang"'

6. A computational method for interval mixed variable energy matrices in precise integration

Author

Ma Xingrui, Gao Suo-wen, Wang Ben-li, and Wu Zhi-gang

Subjects
Matrix difference equation, Partial differential equation, Differential equation, Applied Mathematics, Mechanical Engineering, Mathematical analysis, MathematicsofComputing_NUMERICALANALYSIS, Linear-quadratic regulator, Optimal control, Algebraic Riccati equation, symbols.namesake, Mechanics of Materials, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Riccati equation, Taylor series, symbols, Mathematics
Abstract

To solve the Riccati equation of LQ control problem, the computation of interval mixed variable energy matrices is the first step. Taylor expansion can be used to compute the matrices. According to the analogy between structural mechanics and optimal control and the mechanical implication of the matrices, a computational method using state transition matrix of differential equation was presented. Numerical examples are provided to show the effectiveness of the present approach.

Published
2001

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