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Abstract The global (absolute) stability of nonlinear systems with negative feedbacks and positive not necessary asymptotically stable linear parts is addressed. The characteristics u=f(e) u = f(e) of the nonlinear… Click to show full abstract
Abstract The global (absolute) stability of nonlinear systems with negative feedbacks and positive not necessary asymptotically stable linear parts is addressed. The characteristics u=f(e) u = f(e) of the nonlinear parts satisfy the condition k1e≤f(e)≤k2e {k_1}e \le f(e) \le {k_2}e for some positive k1 {k_1}, k2 {k_2}. It is shown that the nonlinear systems are globally asymptotically stable if the Nyquist plots of the positive linear parts are located in the right-hand side of the circles −1k1,−1k2 \left( { - {1 \over {{k_1}}}, - {1 \over {{k_2}}}} \right).
Journal Title: International Journal of Nonlinear Sciences and Numerical Simulation
Year Published: 2019
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