Examinando por Autor "Azhmyakov V."
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Ítem Advances of implicit description techniques in modelling and control of switched systems(Springer Verlag, 2020-01-01) Bonilla Estrada M.; Malabre M.; Azhmyakov V.Our contribution is devoted to a constructive overview of the implicit system approach in modern control of switched dynamic models. We study a class of non-stationary autonomous switched systems and formally establish the existence of solution. We next incorporate the implicit systems approach into our consideration. At the beginning of the contribution, we also develop a specific system example that is used for illustrations of various system aspects that we consider. Our research involves among others a deep examination of the reachability property in the framework of the implicit system framework that we propose. Based on this methodology, we finally propose a resulting robust control design for the switched systems under consideration and the proposed control strategy is implemented in the context of the illustrative example. © Springer Nature Switzerland AG 2020.Ítem Consistent approximations of the control - Affine systems with bounded uncertainties: Application to the controlled lotka - Volterra dynamics(Institute of Electrical and Electronics Engineers Inc., 2019-01-01) Azhmyakov V.; Londono C.; Osorio P.; Rojas A.; Puerta M.E.; Trujillo L.A.G.; Azhmyakov V.; Londono C.; Osorio P.; Rojas A.; Puerta M.E.; Trujillo L.A.G.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y AplicacionesOur contribution is devoted to constructive approximations of a wide class of the modern control systems, namely, of the general control-affine dynamic models. We consider the generic tracking control problem associated with the control-affine systems in the presence of bounded uncertainties. The conventional linearization based solution approach to the tracking problem under consideration is finally refined and extended by a novel analytic errors estimation technique. Theoretic results developed in our contribution are applied to a practically motivated example of the controlled Lotka-Volterra system. © 2019 IEEE.