Lyapunov reducibility of a linear system, stabilization and control of the Izobov exponents (Q2761403)
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scientific article; zbMATH DE number 1683441
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov reducibility of a linear system, stabilization and control of the Izobov exponents |
scientific article; zbMATH DE number 1683441 |
Statements
18 December 2001
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asymptotic stability
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linear control systems
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Lyapunov exponents
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Izobov exponents
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bilinear system
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reducibility
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0.9180328
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0.9130357
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0.9115143
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0.90691113
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0.89797604
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0.89773864
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Lyapunov reducibility of a linear system, stabilization and control of the Izobov exponents (English)
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The author considers the control problem and asymptotic properties (in particular, the Izobov exponents) of a system of differential equations linear with respect to the phase coordinates and controls (a bilinear system). It is shown that a certain class of systems allows the local Lyapunov reducibility to a system arbitrarily close to the original one by choosing an appropriate admissible control.
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