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

作者：Kar Haranath^*

来源：Digital Signal Processing, 2013, 23(5): 1767-1772.

DOI：10.1016/j.dsp.2013.06.006

• Asymptotic stability
• Finite wordlength effect
• Lyapunov method
• Nonlinear system
• 2-D discrete system

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.