The self-stable region approach for second order systems (Q2721878)
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scientific article; zbMATH DE number 1616923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The self-stable region approach for second order systems |
scientific article; zbMATH DE number 1616923 |
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11 July 2001
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planar systems
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self-stable region
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variable structure systems
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chattering
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The self-stable region approach for second order systems (English)
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A self-stable region (SSR) is a region of the state space for which the following condition holds: each trajectory which remains in the region after a certain time, eventually converges to the origin. Systems of ordinary differential equations with a SSR behave like variable structure systems, with the further advantage that chattering is avoided.NEWLINENEWLINENEWLINEThe authors consider two-dimensional nonlinear systems, and give conditions for the existence of a SSR. Complete information about the systems is not needed. They consider also control laws in order to guarantee the existence of a SSR.
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