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	Dead time LTI SISO systems approximation using generalized Laguerre functions Zsitva, Norbert ; Tůma, Martin (referee) ; Jura, Pavel (advisor) This final thesis deals with the approximation of time delay in time invariant systems. First, the generalized Laguerre functions and their characteristics are presented. After this, the approximation of the Dirac delta function with the help of these functions is shown. Also, the choice of the free parameters is discussed and the results are evaluated with the help of energy. In the final part of the thesis, the approximations of systems with generalized and simple Laguerre functions are compared. Detailed record
	Comparison Of Methods For Impulse Response Computation Karsky, Vilem This paper deals with obtaining impulse responses from integer order and fractional ordertransfer functions. There are shown three method how to compute inverse Laplace transform. The firstmethod is based on Mittag-Leffler functions, the second method is formed on generalized Laguerrefunctions and the third method lays on Fourier transform. These methods are also compared on twoexamples. Detailed record
	Comparison Of The Mittag-Leffler Function And Laguerre Functions For Evaluating The Inverse Laplace Transform Karsky, Vilem This paper focuses on the evaluation inverse Laplace transform of the fractional order transfer functions. There are shown two methods how to compute inverse Laplace transform. First method uses Mittag-Leffler functions and the second method employs generalized Laguerre functions. These methods will be also compared. Detailed record
	Generalized Laguerre Functions To Calculate The Inverse Laplace Transform Kárský, Vilém This paper concentrates on using generalized Laguerre functions to calculate the inverse Laplace transform. The actual application of the method is demonstrated via transforming two transfer functions, one ranging within the integer-order category and the other being of the fractional-order type. Detailed record
	Dead time LTI SISO systems approximation using generalized Laguerre functions Zsitva, Norbert ; Tůma, Martin (referee) ; Jura, Pavel (advisor) This final thesis deals with the approximation of time delay in time invariant systems. First, the generalized Laguerre functions and their characteristics are presented. After this, the approximation of the Dirac delta function with the help of these functions is shown. Also, the choice of the free parameters is discussed and the results are evaluated with the help of energy. In the final part of the thesis, the approximations of systems with generalized and simple Laguerre functions are compared. Detailed record

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