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Research Article |

IOSS Criterion for Lipschitz Nonlinear Fixed Point Discrete -Time Systems Employing External Interference and Saturation Overflow

Author(s): Swagatika Nayak1, Smita Rani Parija2, Pushpendra Kumar Gupta3, V. Krishna Rao Kandanvli4

Published In : International Journal of Electrical and Electronics Research (IJEER)        Volume 14, Issue 2

Publisher : FOREX Publication

Published : 30 June 2026

e-ISSN : 2347-470X

Page(s) : 572-580

DOI: https://doi.org/10.37391/IJEER.140232

Abstract

This paper introduces a novel criterion for assessing the Input-Output-to-State Stability of Lipschitz nonlinear discrete-time systems subject to external interference and saturation arithmetic. By using the Lipschitz condition along with the 'passivity property' of saturation arithmetic and the Lyapunov stability concept, the suggested criterion ensures the suppression of the effects of external interference while guaranteeing asymptotic stability without considering such interference. Two examples are presented to illustrate the effectiveness of the suggested results.

Keywords: Asymptotic Stability, Discrete-Time System, Lipschitz Nonlinear System, Saturation Overflow, Input-Output-To-State Stability (IOSS).




Swagatika Nayak, Department of Electronics and Communication Engineering, C. V. Raman Global University, Bhubaneswar, Odish; Email: swagatikanayak06@gmail.com

R. Dhanalakshmi, Department of Electronics and Communication Engineering, C. V. Raman Global University, Bhubaneswar, Odisha; Email: smitaparija@gmail.com

Rambabu Busi,Department of Electronics and Communication Engineering, C. V. Raman Global University, Bhubaneswar, Odisha; Email: pushpendranit30@gmail.com

V. Krishna Rao Kandanvli,Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology Allahabad, Prayagraj-211004, India; Email: krishnaraonit@yahoo.co.in

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Swagatika Nayak, Smita Rani Parija, Pushpendra Kumar Gupta, and V. Krishna Rao Kandanvli (2026), IOSS Criterion for Lipschitz Nonlinear Fixed Point Discrete -Time Systems Employing External Interference and Saturation Overflow. IJEER 14(2), 572-580. DOI: 10.37391/IJEER.140232.