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<p>This paper outlines stability criteria for a nonlinear discrete time system subject to external interference with generalized overflow nonlinearities. The proposed approach investigates the exponential stability of the discrete time system by employing a passivity approach. Distinct stability conditions are derived under various nonlinearities, including zeroing, triangular, saturation, and two’s complement, utilizing passivity theory. These criteria not only ensure exponential behavior, but also mitigate the impact of external disturbances in discrete time systems with overflow nonlinearities. The conditions are formulated using LMI settings, and, hence, are computationally tractable using MATLAB LMI toolbox. Relevant examples are provided to showcase the effectiveness of the proposed approach.</p>

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Passivity-Based Approach for Exponential Stability of Discrete Time System Under Overflow Nonlinearities

  • 期刊论文

  • 发表日期：

    2025年10月22日

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  • Mounika Pulikonda,
  • Priyanka Kokil

摘要

This paper outlines stability criteria for a nonlinear discrete time system subject to external interference with generalized overflow nonlinearities. The proposed approach investigates the exponential stability of the discrete time system by employing a passivity approach. Distinct stability conditions are derived under various nonlinearities, including zeroing, triangular, saturation, and two’s complement, utilizing passivity theory. These criteria not only ensure exponential behavior, but also mitigate the impact of external disturbances in discrete time systems with overflow nonlinearities. The conditions are formulated using LMI settings, and, hence, are computationally tractable using MATLAB LMI toolbox. Relevant examples are provided to showcase the effectiveness of the proposed approach.