A note on the improved LMI-based criterion for global asymptotic stability of 2-D state-space digital filters described by Roesser model using two's complement overflow arithmetic

Authors:
Haranath Kar
Affiliations:
-
Venue:
Digital Signal Processing
Year:
2013

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Abstract

This paper focuses on some critical issues in a recently reported approach [V. Singh, Improved LMI-based criterion for global asymptotic stability of 2-D state-space digital filters described by Roesser model using two@?s complement overflow arithmetic, Digital Signal Process. 22 (2012) 471-475] for the global asymptotic stability of two-dimensional (2-D) fixed-point state-space digital filters described by the Roesser model employing two@?s complement overflow arithmetic. In particular, it is highlighted that the situation where Singh@?s approach can be applied to ensure the global asymptotic stability of digital filters in the presence of two@?s complement overflow nonlinearities is not conceivable.