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Delay-Dependent Stability Analysis of Interfered Digital Filters with Time-Varying Delay and Saturation Nonlinearities

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Abstract

This work investigates stability of interfered digital filters with time-varying delay and saturation overflow arithmetic. A criterion is proposed to guarantee exponential stability of the state-delayed digital filters with saturation nonlinearities and external disturbance. The established condition is utilized to obtain the \(H_\infty \) performance norm of the interfered digital filters employing saturation arithmetic. Further, a result is developed for the asymptotic stability of interference-free digital filters with zero state-delay. The criterion presented for the digital filters employing saturation arithmetic is shown to be less conservative than the existing works. All the stability conditions are in the form of linear matrix inequalities framework and thus readily solvable. Numerical examples are given to illustrate the merit and efficiency of the established criteria.

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Acknowledgements

The authors are thankful to the Editor and to anonymous reviewers for their constructive comments and suggestions.

Funding

This work is supported by Department of Atomic Energy, Government of India under grant No. 02011/6/2019 NBHM(R.P)/R &D II/1615 and Science and Engineering Research Board, Department of Science and Technology, Government of India, under grant No. MTR/2021/000656.

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  1. Department of Electronics and Communication Engineering, Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, Chennai, 600127, India

    C. G. Parthipan & Priyanka Kokil

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  1. C. G. Parthipan
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Parthipan, C.G., Kokil, P. Delay-Dependent Stability Analysis of Interfered Digital Filters with Time-Varying Delay and Saturation Nonlinearities. Circuits Syst Signal Process 41, 5765–5784 (2022). https://doi.org/10.1007/s00034-022-02052-0

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