Criteria for robust absolute stability of time-varying nonlinear continuous-time systems.

*(English)*Zbl 1013.93044This paper investigates robust absolute stability of nonlinear systems with time-varying matrix uncertainty of polyhedral type and multiple time-varying sector nonlinearities. The main tool used here is Lyapunovâ€™s second method which allows to define some necessary and sufficient conditions of absolute robust stability.

Two interesting examples are presented and discussed as applications of the proposed method.

Reviewer: Marc Quincampoix (Brest)

##### MSC:

93D10 | Popov-type stability of feedback systems |

93D09 | Robust stability of control systems |

93C10 | Nonlinear control systems |