Stability of nonlinear variable-time impulsive differential systems with delayed impulses (Q2061219)
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scientific article; zbMATH DE number 7443516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of nonlinear variable-time impulsive differential systems with delayed impulses |
scientific article; zbMATH DE number 7443516 |
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Stability of nonlinear variable-time impulsive differential systems with delayed impulses (English)
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13 December 2021
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The authors study the stability problem for a class of variable-time impulsive differential systems with delayed impulses. Compared with the stability problem of fixed-time impulsive differential system with delayed impulses, it is more difficult to study the stability of variable-time impulsive differential systems with delayed impulses. With the help of generalized comparison principle, impulsive differential inequalities, discontinuous Lyapunov functions and mathematical induction approaches, some sufficient criteria for quasi-uniformly asymptotic stability and quasi-exponential stability of a given solution (non-trivial solution) of variable-time impulsive differential systems with delayed impulses are established.
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nonlinear system
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variable-time impulses
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delayed impulses
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quasi-uniformly asymptotic stability
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quasi-exponential stability
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