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	Fractional order LTI SISO systems modelling using generalized Laguerre functions Kárský, Vilém ; Tůma, Martin (referee) ; Jura, Pavel (advisor) This paper concentrates on the description of fractional order LTI SISO systems using generalized Laguerre functions. There are properties of generalized Laguerre functions described in the paper, and an orthogonal base of these functions is shown. Next the concept of fractional derivatives is explained. The last part of this paper deals with the representation of fractional order LTI SISO systems using generalized Laguerre functions. Several examples were solved to demonstrate the benefits of using these functions for the representation of LTI SISO systems. Detailed record
	Hausdorff dimension of the lightning Kočendová, Alžběta ; Druckmüller, Miloslav (referee) ; Hoderová, Jana (advisor) In this thesis, the theory related to the Hausdorff dimension is described. The Hausdorff dimension is used to describe the fragmentation of a fractal. Fractals include many natural objects and phenomena. One such phenomenon is lightning, which is the focus of this work. This work involves the development of a MATLAB program to detect lightning in an image and then calculate the Hausdorff dimension of this lightning. Detailed record
	Fractional order LTI SISO systems modelling using generalized Laguerre functions Kárský, Vilém ; Tůma, Martin (referee) ; Jura, Pavel (advisor) This paper concentrates on the description of fractional order LTI SISO systems using generalized Laguerre functions. There are properties of generalized Laguerre functions described in the paper, and an orthogonal base of these functions is shown. Next the concept of fractional derivatives is explained. The last part of this paper deals with the representation of fractional order LTI SISO systems using generalized Laguerre functions. Several examples were solved to demonstrate the benefits of using these functions for the representation of LTI SISO systems. Detailed record

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