Novel criterion for stability of discrete-time systems in a state-space realization utilizing saturation nonlinearities

作者：Singh Vimal^*

来源：Applied Mathematics and Computation, 2011, 218(8): 4305-4311.

DOI：10.1016/j.amc.2011.10.002

• Asymptotic stability
• Digital filter
• Finite word length effect
• Lyapunov method
• Nonlinear discrete-time system
• Difference equation

A new criterion for the global asymptotic stability of discrete-time systems in a state-space realization utilizing saturation nonlinearities is presented. The form of the criterion is unconventional in that it offers the flexibility of using even an unsymmetric Lyapunov matrix P. A recently reported criterion is shown to be a special case of the present criterion. An example shows the effectiveness of the new criterion.

• 出版日期2011-12-15