On the Design of Hyperstable Feedback Controllers for a Class of Parameterized Nonlinearities. Two Application Examples for Controlling Epidemic Models.

作者: Manuel De la Sen

DOI: 10.3390/IJERPH16152689

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摘要: This paper studies the hyperstability and asymptotic of a single-input single-output controlled dynamic system whose feed-forward input-output dynamics is nonlinear eventually time-varying consisting linear nominal part, incremental perturbed part one. The described by positive real transfer function while perturbation defined stable function. disturbance is, in general, unstructured but it upper-bounded combination three additive absolute terms depending on input, output product, respectively. non-linear feedback controller any member belonging to general class which satisfies an integral Popov's-type inequality. problem statement allows study conditions guaranteeing robust stability properties under variety controllers designed for disturbances. In this way, set closed-loop are given based fact that energy bounded all time initial controls satisfying Popov's importance those rely they related global stability, or respectively, same uncontrolled subject great number only condition satisfy such It well-known relevance vaccination treatment Public Health Management at levels prevention healing. Therefore, two application examples concerning linearization known epidemic models their appropriate and/or susceptible infectious, discussed detail with main objective mind being able achieving fast convergence state- trajectory solutions disease- free equilibrium points wide control laws deviations amounts populations.

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