On the stability of a program manifold of control systems with variable coefficients
UDC 517.956 We study the absolute stability of the program manifold of basic control systems with variable coefficients and stationary nonlinearities. The conditions of stability of basic systems are investigated in a neighborhood of a given program manifold. The nonlinearities satisfy the conditi...
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| Date: | 2019 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2019
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1497 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.956
We study the absolute stability of the program manifold of basic control systems with variable coefficients and stationary
nonlinearities. The conditions of stability of basic systems are investigated in a neighborhood of a given program manifold.
The nonlinearities satisfy the conditions of local quadratic relationship. Sufficient conditions for the absolute stability of
the program manifold with respect to a given vector function are established by constructing the Lyapunov function. A
method used to select the Lyapunov matrix is specified. |
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