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Robust stability for implicit dynamic equations with causal operators on time scales

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Abstract

In this paper, we study the robust stability of implicit dynamic equations with causal operators on time scales. First, we investigate the solvability of these dynamic equations and then consider the preservation of stability under small perturbations. An \(L_p\) version of Bohl–Perron principle for implicit dynamic equations is also studied.

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Acknowledgements

The author would like to thank Vietnam Institute for Advance Study in Mathematics (VIASM) for supporting and providing a fruitful research environment and hospitality for her. This work was done under the partial support of the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant Number 101.03-2021.29.

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  1. Department of Science, Electric Power University, 235 Hoang Quoc Viet Str., Hanoi, Vietnam

    Nguyen Thu Ha

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  1. Nguyen Thu Ha
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Correspondence to Nguyen Thu Ha.

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Ha, N.T. Robust stability for implicit dynamic equations with causal operators on time scales. Math. Control Signals Syst. 35, 803–834 (2023). https://doi.org/10.1007/s00498-023-00356-3

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