Song X.-D.,Dalian Jiaotong University |
Sun G.-H.,Research Center en Computacion |
Dong S.-H.,Escuela Superior de Fisica y Matematicas
Physics Letters, Section A: General, Atomic and Solid State Physics | Year: 2015
We study the position Sr and momentum Sp Shannon entropies of the infinite circular well and find that the Sr increases with the radius R for a given m, but first increases and then decreases with the m for a given R. The variation Sp on radius R is from the first increment to the final decrement, but its general tendency first decreases with m and then increases with it. We also note that the variation of Sr on radius R is almost independent of n. Finally, BBM inequality is tested and hold for this system. © 2015 Elsevier B.V. All rights reserved.
Vazquez R.A.,La Salle University at Cuauhtemoc |
Sossa H.,Research Center en Computacion
Neurocomputing | Year: 2011
Median associative memories (MED-AMs) are a special type of associative memory that substitutes the maximum and minimum operators of a morphological associative memory with the median operator. This associative model has been applied to restore grey scale images and provided a better performance than morphological associative memories when the patterns are altered with mixed noise. Despite their power, MED-AMs have not been adopted in problems related with true-colour patterns. In this paper, we describe how MED-AMs can be applied to problems involving true-colour patterns. Furthermore, a complete study of the behaviour of this associative model in the restoration of true-colour images is performed using a benchmark of 16,000 images altered by different noise types. © 2011 Elsevier B.V.
Medel Juarez J.J.,Research Center en Computacion |
Zagaceta Alvarez M.T.,Research Center en Ciencia
Revista Mexicana de Fisica | Year: 2010
The digital filter theory with identification process allows knowing internal states dynamics, with respect to a reference system, commonly considered as a black box or base system. This gives the identifier its input and output signals as essential information; so that the identifier is formed by identification actions. The actions developed by the identifier consider the transition matrix "described by the exponential function respect to internal parameters for the unknown black box reference system", identifying states delayed, with gain matrix "formatted by correlation convergence error" and the innovation process "build by the output base system noise and the identification result." Unfortunately, in the black box concept the internal parameters have the same problem, which means, neither observed nor transition matrix, because it is a description function depicted exponentially. Thus, the identifier structure considers that the transition matrix is an essential problem. This paper proposes the estimator as internal parameter descriptor "this is a technique required to describe the internal gains with respect to the black box system" thus generating the transition matrix. With respect to the gain matrix, the identification error "expressed by a second probability moment in recursive forms" affects the identifier as an adaptive algorithm. This allows having a sufficient convergence rate. The filter is built with two actions: estimator and identifier, this considers the adaptive properties with respect to the gain and dynamically adjusts the identifier convergence levels, observed in simulation results.
Yu W.,CINVESTAV |
Moreno-Armendariz M.A.,Research Center en Computacion |
Information Sciences | Year: 2011
In order to control mechanical systems, this paper proposes a novel fast control strategy. The controller includes a normal proportional and derivative (PD) regulator and a fuzzy cerebellar model articulation controller (CMAC). For an overhead crane, this control can realize both position tracking and anti-swing. Using a Lyapunov method and an input-to-state stability technique, the PD control with CMAC compensation is proven to be robustly stable with bounded uncertainties. Real-time experiments are presented comparing this new stable control strategy with regular crane controllers. © 2011 Elsevier Inc. All rights reserved.
Aguilar-Ibanez C.,Research Center en Computacion |
Suarez-Castanon M.S.,Escuela Superior de Computo |
Cruz-Cortes N.,Research Center en Computacion
Nonlinear Dynamics | Year: 2012
In this work, we present an output feedback stabilization method for the Inverted Pendulum Cart (IPC) system around its unstable equilibrium point. The pendulum is initialized in the upper-half plane, and the position of the cart and the pendulum angular positions are always available. Our strategy was accomplished introducing a suitable coordinate change to obtain a nonlinear version of the original system, which is affine in the unmeasured velocities state. This fact allows us to adapt an observer based controller devoted to render the closed-loop system to the origin. The proposed observer based controller was designed using the direct Lyapunov method. This allows estimating the corresponding attraction domain for the whole system, which can be as large or as small as desired. While the corresponding closed-loop stability analysis was made using the LaSalle Invariance Theorem. Convincing numerical simulations were included to show the performance of the closed-loop system. © 2012 Springer Science+Business Media B.V.