The Lyapunov spectrum of blockdiagonal semilinear control systems (Q1972769)
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scientific article; zbMATH DE number 1431858
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Lyapunov spectrum of blockdiagonal semilinear control systems |
scientific article; zbMATH DE number 1431858 |
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The Lyapunov spectrum of blockdiagonal semilinear control systems (English)
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13 April 2000
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The Lyapunov spectrum of a semilinear control system is approximated via its Floquet and Morse spectra. If the semilinear control system possesses a singular (i.e. invariant) subspace then the analysis of the Floquet and the Morse spectra can be reduced to the lower-dimensional systems generated by the singular subspaces. In particular, it is shown that all Lyapunov exponents are attained on the singular subspaces.
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invariant subspace
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Lyapunov spectrum
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semilinear control system
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Floquet and Morse spectra
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singular subspaces
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