Abstract
AbstractNew sufficient conditions for the global stability of different classes of nonlinear fractional feedback systems are presented. The linear parts of the systems are positive systems with interval state matrices. The nonlinear parts are described by static nonlinear characteristics located in the first and third quarter of the plane. The feedbacks are described in general case by matrices with positive entries. The sufficient conditions for the global stability are given for the following classes of the nonlinear systems: Positive interval continuous-time feedback nonlinear systems; Fractional positive interval continuous-time feedback nonlinear systems; Positive interval discrete-time feedback nonlinear systems; Descriptor nonlinear feedback discrete-time systems and Positive nonlinear electrical circuits. Procedures are given for calculations of gain matrices of the characteristics of nonlinear elements of the systems. The effectiveness of the procedures are demonstrated on numerical examples of nonlinear systems.
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