Abstract
A linear matrix inequality (LMI) based criterion for the global asymptotic stability of discrete-time systems with multiple state-delays employing saturation nonlinearities is presented. Numerical examples highlighting the effectiveness of the proposed criterion are given.
Highlights
When discrete-time systems are implemented in finite word length processor using fixed-point arithmetic, nonlinearities are introduced due to quantization and overflow
The global asymptotic stability of the null solution guarantees the nonexistence of limit cycles in the realized system
The problem of stability analysis of discrete-time state-delayed systems has drawn the attention of many researchers [23,24,25,26,27,28,29,30,31,32,33,34,35,36,37]
Summary
When discrete-time systems are implemented in finite word length processor using fixed-point arithmetic, nonlinearities are introduced due to quantization and overflow. Such nonlinearities may result in the instability of the designed system. This paper, deals with the problem of stability analysis of a class of discrete-time state-delayed systems in state-space realization employing saturation overflow arithmetic.
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