A new stability analysis of switched systems (Q1569025)
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scientific article; zbMATH DE number 1463883
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new stability analysis of switched systems |
scientific article; zbMATH DE number 1463883 |
Statements
A new stability analysis of switched systems (English)
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22 June 2000
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The authors consider the switched system \[ \dot x=f_i(x), \quad i=1,2,\dots,K,K+1, \dots, K+\widetilde K \] such that for all \(i\) the origin is an equilibrium. For \(i=1, \dots,K\) the systems linearized around the origin are exponentially stable. It is shown that for certain sequences of commutations the resulting trajectories are such that the origin of the resulting (overall) system is asymptotically stable.
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linearization
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asymptotic stability
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stabilization
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switched system
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