• Constant-length random substitutions and gibbs measures 

      Maldonado Ahumada, César Octavio; Trejo Valencia, Liliana; Ugalde, Edgardo (2018)
      "This work is devoted to the study of processes generated by random substitutions over a finite alphabet. We prove, under mild conditions on the substitutions rule, the existence of a unique process which remains invariant ...
    • Control of mechanical systems on Lie groups based on vertically transverse functions 

      Lizárraga Navarro, David Antonio; Sosa Zuñiga, José Miguel (2008-06)
      "The transverse function approach to control provides a unified setting to deal with practical stabilization and tracking of arbitrary trajectories for controllable driftless systems. Controllers derived from that approach ...
    • Difference map and its electronic circuit realization 

      García Martínez, Moises; Campos Cantón, Isaac; Campos Cantón, Eric; Celikovsk, Sergej (2013)
      "In this paper we study the dynamical behavior of the one-dimensional discrete-time system, the so-called iterated map. Namely, a bimodal quadratic map is introduced which is obtained as an amplification of the difference ...
    • Maximal unstable dissipative interval to preserve multi-scroll attractors via multi-saturated functions 

      Díaz González, Edgar Cristian; López Rentería, Jorge Antonio; Campos Cantón, Eric; Aguirre Hernández, Baltazar (2016)
      "In this paper, we present families of piecewise linear systems which are controlled by a continuous piecewise monoparametric control function for the generation of monoparametric families of multi-scroll attractors. Thus, ...
    • 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 ...
    • On the transversality of functions at the core of the transverse function approach to control 

      Lizárraga Navarro, David Antonio (2011-12)
      "The transverse function approach to control, introduced by Morin and Samson in the early 2000s, is based on functions that are transverse to a set of vector fields in a sense formally similar to, although strictly speaking ...
    • Output-feedback adaptive control for the global regulation of robot manipulators with bounded inputs 

      López Araujo, Daniela Juanita; Zavala Río, Arturo; Santibáñez, Víctor; Reyes Cortés, José Fernando (2013)
      "In this paper, an output-feedback adaptive scheme for the global position stabilization of robot manipulators with bounded inputs is proposed. Compared to the previous output-feedback adaptive approaches developed in a ...
    • Pseudo-random bit generator based on multi-modal maps 

      García Martínez, Moises; Campos Cantón, Eric (2015)
      "In this work we present a pseudo-random Bit Generator via unidimensional multi-modal discrete dynamical systems calledk-modal maps. These multi-modal maps are based on the logistic map and are useful to yield pseudo-random ...
    • Robust stability of integral delay systems with exponential kernels 

      Melchor Aguilar, Daniel Alejandro; Morales Sánchez, Alejandro; 000 (2016)
      "In this chapter the stability analysis via Lyapunov-Krasovskii method is extended to perturbed integral delay systems with exponential kernels. Several sufficient robust stability conditions given in the form of linear ...
    • Strange attractors generated by a fractional order switching system and its topological horseshoe 

      Zambrano Serrano, Ernesto; Campos Cantón, Eric; Muñoz Pacheco, Jesús Manuel (2016)
      "Chaos generation in a new fractional order unstable dissipative system with only two equilibrium points is reported. Based on the integer version of an unstable dissipative system (UDS) and using the same systems parameters, ...