On the existence of periodic motion and the maximum sector bounds for absolute stability of nonlinear nonstationary systems. (English. Russian original) Zbl 1141.93055
Autom. Remote Control 68, No. 8, 1355-1363 (2007); translation from Avtom. Telemekh. 2007, No. 8, 68-77 (2007).
Summary: In this contribution we consider the absolute stability problem. We derive necessary and sufficient conditions for the existence of periodic motion using an operator approach. The results yield an efficient algorithm to approximate the maximum sector bounds for absolute stability numerically.
MSC:
| 93D20 | Asymptotic stability in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C10 | Nonlinear systems in control theory |
Keywords:
absolute stability; necessary and sufficient conditions for absolute stability; Lur’e systemReferences:
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