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Criteria for robust absolute stability of time-varying nonlinear continuous-time systems. (English) Zbl 1013.93044

This 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 Lyapunov’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.

MSC:
93D10Popov-type stability of feedback systems
93D09Robust stability of control systems
93C10Nonlinear control systems