• Non-alternating knots: alternation and dealternating numbers 

      Guevara Hernández, María de los Angeles (2017-08)
      "In this thesis we give formulae to obtain the HOMFLY-PT polynomial of certain oriented 3-tangles and links formed by the closure of them. Also we show formulae for the Conway-Alexander polynomial. We propose a construction ...
    • Nonclassical point of view of the Brownian motion generation via fractional deterministic model 

      Gilardi Velázquez, Héctor Eduardo; Campos Cantón, Eric (2018)
      "In this paper, we present a dynamical system based on the Langevin equation without stochastic term and using fractional derivatives that exhibit properties of Brownian motion, i.e. a deterministic model to generate ...
    • Nonlinear and robust control strategy based on chemotherapy to minimize the HIV concentration in blood plasma 

      Aguilar López, Ricardo; Gómez Acata, Rigel Valentín; Lara Cisneros, Gerardo; Femat Flores, Alejandro Ricardo (2016)
      "A nonlinear PI-type control strategy is designed in order to minimize the HIV concentration in blood plasma, via medical drug injection, under the framework of bounded uncertain input disturbances. For control design it ...
    • Nonlinear filtering preserves chaotic synchronization via master-slave system 

      González Salas, Javier Salvador; Campos Cantón, Eric; Ordaz Salazar, Francisco Cruz; Jiménez López, Eduardo (Hindawi, 2013)
      "We present a study on a class of interconnected nonlinear systems and give some criteria for them to behave like a filter. Some chaotic systems present this kind of interconnected nonlinear structure, which enables the ...
    • Nonlinear voltage regulation strategy for a fuel cell/supercapacitor power source system 

      Zúniga-Ventura, Yuz Asaf; Leyva Ramos, Jesús; Díaz Saldierna, Luis Humberto; Díaz Díaz, Irwin Allen; Langarica Córdoba, Diego (IEEE, 2018)
      "The main purpose of this work is to model and control a fuel cell/supercapacitor power source system to feed a DC-bus with a constant output voltage despite load changes. The fuel cell is modeled as a nonlinear current-dependent ...
    • Numerical computation of Lyapunov matrices for integral delay systems 

      Arismendi Valle, Héctor Javier; Melchor Aguilar, Daniel Alejandro (2017)
      "This paper focuses on the problem of computing Lyapunov matrices for integral delay systems. It is shown that these Lyapunov matrices cannot be computed by means of the existing methods for Lyapunov matrices of differential ...
    • Observer-less output-feedback global continuous control for the finite-time and exponential stabilization of mechanical systems with constrained inputs 

      Zamora Gómez, Griselda Ivone; Zavala Río, Arturo; López Araujo, Daniela Juanita (2017)
      "An observer-less output-feedback global continuous control scheme for the finite-time or (local) exponential stabilization of mechanical systems with constrained inputs is proposed. The approach is formally developed ...
    • On Brusselator and Oregonator as chemical reaction networks: a graph approach 

      Méndez González, José Martín; Femat Flores, Alejandro Ricardo (2009)
      "This paper shows graph similarities between Brusselator and Oregonator reaction mechanisms, using the jacobian matrix in convex coordinates as an adjacency matrix which defines a weighted directed pseudograph. A linear ...
    • On computing estimates of the attraction region for a class of nonlinear time-delay systems 

      Melchor Aguilar, Daniel Alejandro; Niculescu, Silviu Iulian (2006)
      "In this paper, initial estimates of the attraction region for a class of nonlinear time delay systems are proposed. The approach is constructive, and make use of an appropiate Lyapunov-Krasovskii functional. Several ...
    • On friction effects as a mechanism to induce complex dynamical behavior in earthquakes 

      Castellanos RodrÍguez, Valentina; Campos Cantón, Eric; Femat Flores, Alejandro Ricardo (2012)
      "In this paper we analyze a nonlinear dynamical system that describes the kinetic mechanism between tectonic plates on the crust´s earth undergoing stick slip movement. The analysis includes friction effects and an empirical ...
    • On modeling and control of multilevel converters and PLL algorithms. 

      Martínez Montejano, Misael Francisco (2009)
      "The present thesis is focuses in the study of the multilevel converters and the the phaselocked loop algorithms. In the first five chapters, two of the main topologies of multilevel converters are studied, namely, diode ...
    • On multistability behavior of unstable dissipative systems 

      Anzo Hernández, Andrés; Gilardi Velázquez, Héctor Eduardo; Campos Cantón, Eric (2018)
      "We present dissipative systems with unstable dynamics called the unstable dissipative systems which are capable of generating a multi-stable behavior, i.e., depending on its initial condition, the trajectory of the system ...
    • On repetitive control for harmonic compesation in power electronic systems 

      Martínez Rodríguez, Pánfilo Raymundo (2007)
      "Para atacar el problema de distorsión armónica distintas técnicas de control han sido utilizadas, entre las que destacan: el control por modos deslizantes, los controladores basados en pasividad, el control adaptable, los ...
    • On stability of integral delay systems 

      Melchor Aguilar, Daniel Alejandro; 000 (2010-12)
      "The exponential stability of a class of integral delay systems is investigated by using the Lyapunov–Krasovskii functional approach. Sufficient delay-dependent stability conditions and exponential estimates for the solutions ...
    • On suitable observables for the chaotic Peroxidase-Oxidase autocatalytic reaction 

      Méndez González, José Martín; Femat Flores, Alejandro Ricardo (International Federation of Automatic Control, 2018)
      "Neurodegenerative diseases such as Alzheimer’s and Parkinson present oxidative damage of neurocytes generally caused by reactive oxygen species (ROS). Heme peroxidases consume and produce ROS thus serving as suppresors ...
    • On the Continuous Finite-Time Stabilization of the Double Integrator 

      Zavala-Rio, Arturo; Sanchez, Tonametl; Zamora Gómez, Griselda Ivone (SIAM, 2022)
      "Continuous finite-time stabilization is often treated under the analytical framework of homogeneity and has been frequently illustrated in the context of the feedback control of the double integrator. For such a simple ...
    • On the controllability of networks with nonidentical linear nodes 

      Arreola Delgado, Alejandra del Carmen; Barajas Ramírez, Juan Gonzalo (Oxford University Press, 2016)
      "The controllability of dynamical networks depends on both network structure and node dynamics. For networks of linearly coupled linear dynamical systems the controllability of the network can be determined using the ...
    • On the dynamic behaviour of a class of bioreactor with non-conventional yield coefficient form 

      Gómez Acata, Rigel Valentín; Lara Cisneros, Gerardo; Femat Flores, Alejandro Ricardo; Aguilar López, Ricardo (2015-04)
      "The goal of this work is to analyze by numerical bifurcation the dynamical behavior of a class of continuous bioreactor used to hydrolyze cellulose using Cellulomonas cellulans, talcing into account the effect of mo deling ...
    • On the emergence of chaos in dynamical networks 

      Barajas Ramírez, Juan Gonzalo; Femat Flores, Alejandro Ricardo (2012)
      "We investigate how changes of specific topological features result on transitions among different bounded behaviours in dynamical networks. In particular, we focus on networks with identical dynamical systems, synchronised ...
    • On the stability of AQM controllers supporting TCP flows 

      Melchor Aguilar, Daniel Alejandro; 000 (2009)
      "In this chapter we address the local asymptotic stability of some AQM controllers supporting TCP flows. We first consider a PI controller as AQM strategy. The complete set of PI controllers that stabilizes the linearized ...