Towards a stability theory of general hybrid dynamical systems (Q1301406)
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scientific article; zbMATH DE number 1331883
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Towards a stability theory of general hybrid dynamical systems |
scientific article; zbMATH DE number 1331883 |
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Towards a stability theory of general hybrid dynamical systems (English)
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2 September 1999
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A general stability theory of hybrid dynamical systems is developed which includes discrete-time and discontinuous systems. A generalized `time' space is defined and it is shown that such systems can be embedded in the set of dynamical systems defined on \(\mathbb{R}^+\). Comparison theory and Lyapunov stability theory are generalized to these systems and several Lyapunov-type theorems and their converses are proved.
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Lyapunov theorems
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hybrid dynamical systems
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Lyapunov stability theory
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