Seminar za računarstvo i primenjenu matematiku, 11. jun 2013.

Naredni sastanak Seminara biće održan u utorak, 11. juna 2013, sa početkom u 14:15 časova u sali 301f MI SANU.

Predavač: Professor Mohsen Razzaghi, Department of Mathematics and Statistics, Mississippi State University

Naslov predavanja: ORTHOGONAL POLYNOMIALS AND HYBRID FUNCTIONS FOR CONTROL PROBLEMS

Sadržaj: Orthogonal functions and polynomial series have been applied to solve various problems of the dynamical systems. Much attention has been  given to the solution of control problems. The approach is to convert  the control problems to an algebraic equation. Signals frequently have  mixed features of continuity and jumps. In such situations, neither  the continuous basis functions (such as Chebyshev, Laguerre, Legendre,  etc) nor piecewise basis functions (such as block-pulse, Haar, Walsh,  etc) taken alone would form an efficient basis in the representation  of such signals. In recent years, the hybrid functions consisting of  the combination of block-pulse functions with Chebyshev polynomials,  Legendre polynomials, or Taylor series have been shown to be a mathematical power tool for discretization of selected problems.

In this talk we present the hybrid functions of block-pulse with Legendre polynomials and block-pulse with Bernoulli polynomials and their applications for optimal control problems. Numerical examples are included to demonstrate the applicability and the accuracy of the proposed method and comparison are made with the existing results.


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