Remarks on a nonlinear Volterra equation
W. Mydlarczyk (1991)
Annales Polonici Mathematici
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W. Mydlarczyk (1991)
Annales Polonici Mathematici
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J.D. Keckic (1975)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Youssef Qaraai, Abdes Samed Bernoussi, Abdelhaq El Jai (2008)
International Journal of Applied Mathematics and Computer Science
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We consider a system which is assumed to be affected by an expanding disturbance which occurs at the initial time. The compensation of the disturbance is accomplished by extending the concept of remediability to a class of nonlinear systems. The results are implemented and illustrated with a nonlinear distributed model.
Wegert, Elias, Khimshiashvili, Georgi, Spitkovsky, Ilya (1997)
Memoirs on Differential Equations and Mathematical Physics
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J.D. Keckic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Gilbert Strang (1974)
Publications mathématiques et informatique de Rennes
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Gergely Szlobodnyik, Gábor Szederkényi (2021)
Kybernetika
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In this paper a novel method is proposed for the structural identifiability analysis of nonlinear time delayed systems. It is assumed that all the nonlinearities are analytic functions and the time delays are constant. We consider the joint structural identifiability of models with respect to the ordinary system parameters and time delays by including delays into a unified parameter set. We employ the Volterra series representation of nonlinear dynamical systems and make use of the frequency...
Jesús M. Fernández Castillo, W. Okrasinski (1991)
Extracta Mathematicae
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In mathematical models of some physical phenomena a new class of nonlinear Volterra equations appears ([5],[6]). The equations belonging to this class have u = 0 as a solution (trivial solution), but with respect to their physical meaning, nonnegative nontrivial solutions are of prime importance.
Tadeusz Kaczorek (2015)
International Journal of Applied Mathematics and Computer Science
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The positivity and linearization of a class of nonlinear continuous-time system by nonlinear state feedbacks are addressed. Necessary and sufficient conditions for the positivity of the class of nonlinear systems are established. A method for linearization of nonlinear systems by nonlinear state feedbacks is presented. It is shown that by a suitable choice of the state feedback it is possible to obtain an asymptotically stable and controllable linear system, and if the closed-loop system...
Vlajko Lj. Kocić (1983)
Publications de l'Institut Mathématique
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W. Okrasinski (1993)
Extracta Mathematicae
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