Asymptotic stability of two-dimensional digital filters with overflow nonlinearities

D Liu,A.N Michel

doi:10.1109/iscas.1993.393786

Asymptotic stability of two-dimensional digital filters with overflow nonlinearities

D Liu, A.N Michel

https://doi.org/10.1109/iscas.1993.393786

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Publication Date: May 3, 1993

Citations: 2

Affiliation: University of Notre Dame

#Stability Of Two-dimensional Digital Filters #Overflow Nonlinearities + Show 8 more

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Abstract

Lyapunov's second method is used to establish several sufficient conditions for the global asymptotic stability of the trivial solution of 2D quarter plane state-space digital filters which are endowed with a general class of overflow nonlinearities. The authors' results are generalized to a class of m-D (multi-dimensional) digital filters endowed with overflow nonlinearities. Two specific examples are considered to demonstrate the applicability of their results. >

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