On the stability of slowly time-varying linear systems (Q1894656)
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scientific article; zbMATH DE number 782153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of slowly time-varying linear systems |
scientific article; zbMATH DE number 782153 |
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On the stability of slowly time-varying linear systems (English)
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6 March 1996
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The author presents several interesting results on exponential stability of time-varying, finite-dimensional systems \(\dot x(t)= [A(t)+ P(t) ]x(t)\) provided the perturbation \(P(\cdot)\) is small and \(t\mapsto A(t)\) is slowly varying, bounded and the eigenvalues of \(A(t)\) remain ``on average'' strictly in the left-half complex plane. These results are also generalized to periodic and stochastic systems.
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exponential stability
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time-varying
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perturbation
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