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This research finds new conditions for practical h-stability in non-autonomous systems, suggesting improved analysis methods.
In this paper, issues of both attractivity and stability for some classes of nonlinear systems are investigated. New sufficient conditions for practical h-stability of non-autonomous nonlinear systems depending on a parameter are proposed by indefinite Lyapunov functions. We present new converse Lyapunov theorems for non-autonomous systems. The h-stability analysis is achieved with the help of scalar practical h-stable functions. These results are used to study the uniform practical h-stability of non-autonomous perturbed systems.
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Damak et al. (2025) studied this question.
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