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Inverse problems for distributed parameter systems solved with combinatorial method

Rydygier E., Trzaska Z.

Control and Cybernetics

1999

Vol. 28, no 2

237-258

An effective new method for solving inverse problems for 2-D systems is introduced using a modern combinatorial analysis. The combinatorial approach consists in the use of new computational tools constructed by authors of this paper during previous investigations in a field of combinatorics and the Fibonacci trigonometry. The formulation of numerical algorithms for solving direct and inverse problems of the 2-D systems is presented with special regard to identification problems. Also possible fields of application in technology and industry are indicated. Advantages of presented method are indicated. These are simplicity of calculations based on recurrence equations defining monic polynomials, high accuracy of calculations, and ease to implement it in the MATLAB language.