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On the Study of Robust Exponential Stability of Continuous- and Discrete-Time Systems

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Abstract

A technique for obtaining sufficient conditions for the robust exponential stability of a parametrically uncertain system is proposed. This technique is used to study both continuousand discrete-time parametrically uncertain systems. For a common Lyapunov function we take a positive definite quadratic form that is a Lyapunov function of the system for a specific parameter value and satisfies some constraints on the first derivative (first difference). The application of our technique is illustrated by specific examples.

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Authors and Affiliations

  1. Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, 603000, Russia

    O. G. Antonovskaya

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  1. O. G. Antonovskaya
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Correspondence to O. G. Antonovskaya.

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Translated by V. Potapchouck

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Antonovskaya, O.G. On the Study of Robust Exponential Stability of Continuous- and Discrete-Time Systems. Diff Equat 59, 452–461 (2023). https://doi.org/10.1134/S001226612304002X

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  • DOI: https://doi.org/10.1134/S001226612304002X

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