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Abstract The global (absolute) stability of nonlinear systems with fractional positive and not necessarily asymptotically stable linear parts and feedbacks is addressed. The characteristics u = f(e) of the nonlinear… Click to show full abstract
Abstract The global (absolute) stability of nonlinear systems with fractional positive and not necessarily asymptotically stable linear parts and feedbacks is addressed. The characteristics u = f(e) of the nonlinear parts satisfy the condition k1e ≤ f(e) ≤ k2e for some positive k1 and k2. It is shown that the fractional nonlinear systems are globally asymptotically stable if the Nyquist plots of the fractional positive linear parts are located on the right-hand side of the circles (−1/k1, −1/k2).
Keywords:
linear parts;
stability nonlinear;
systems fractional;
fractional positive;
positive linear
Journal Title: International Journal of Applied Mathematics and Computer Science
Year Published: 2020
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Journal Title: International Journal of Applied Mathematics and Computer Science
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!