Uniformly finally bounded solutions to systems of differential equations with variable structure and impulses (Q2926372)
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scientific article; zbMATH DE number 6361047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniformly finally bounded solutions to systems of differential equations with variable structure and impulses |
scientific article; zbMATH DE number 6361047 |
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24 October 2014
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variable structure
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impulses
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switching functions
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uniformly finally bounded solutions
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Uniformly finally bounded solutions to systems of differential equations with variable structure and impulses (English)
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A nonlinear system of ordinary differential equations with variable impulses is studied. The main characteristic of the system is that the right side part of the equations is also changed after any impulse. Since there are an infinite number of surfaces on which the impulses could appear, also an infinite number of impulsive functions and an infinite number of right hand sides of the differential equation are given. In connection with that an infinite sequence of scalar Lyapunov functions is used to obtain sufficient conditions for uniform final boundedeness of the solutions.
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