BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 54, Issue 4, December 2006

Civil Engineering and Electronics

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pp 449 - 455

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Non-classical operational calculus applied to certain linear discrete time-system

E. MIELOSZYK, A. MILEWSKA, and M. MAGULSKA
 
In the paper there has been made an advantage of the non-classical operational calculus to determination of the response of the certain discrete time-systems. The Z-transform is often used to analysis of the stationary discrete time-systems. However, the use of the Z-transform to determination of the response especially of the non-stationary discrete time-systems is doubtful or may cause complications. This method leads to differential equations of n-th order of variable coefficients, whose solutions are very difficult or impossible. The non-classical operational calculus can be used to analysis both of the stationary and non-stationary discrete time-systems. The presented method with the use of the Heaviside operator soon leads to the target without unnecessary differential equations.
  
Key words: 

discrete time-system, Z-transform, non-classical operational calculus, Heaviside operator, analysis of the discrete time-system


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