This paper deals with the design of optimal backstepping controller, by using the chaotic particle swarm optimization (CPSO) algorithm to control of chaos in Lur’e like chaotic system. The backstepping method consists of parameters which could have positive values. The parameters are usually chosen optional by trial and error method. The controlled system provides different behaviors for differ...

Cataracts, which result from lens opacification, are the leading cause of blindness worldwide. Current methods for determining the severity of cataracts are based on manual assessments that may be weakened by subjectivity. In this work, we propose a system to automatically grade the severity of nuclear cataracts from slit-lamp images. We introduce a new feature for cataract grading together wit...

Abstract—In this paper, an intelligent backstepping controller, tuned using a chaotic particle swarm optimization (CPSO), is proposed to control of chaos in Genesio-Tesi chaotic system. Thebackstepping method consists of parameters with positive values. The parameters are usually chosen optional by trial and error method. The improper selection of the parameters leads to inappropriate responses...

In this paper a new sliding mode control algorithm for the third order uncertain, nonlinear and time-varying dynamic system subject to unknown disturbance and input constraint is proposed. The algorithm employs a time-varying switching plane. At the initial time t = t0, the plane passes through the point determined by the system initial conditions in the error state space. Afterwards, the plane...

the main purpose of this article is to present an approximate solution for the two-dimensional nonlinear volterra integral equations using legendre orthogonal polynomials. first, the two-dimensional shifted legendre orthogonal polynomials are defined and the properties of these polynomials are presented. the operational matrix of integration and the product operational matrix are introduced. th...

In this paper, we introduce and study the concept of exponential type P-function establish Hermite-Hadamard's inequalities for functions. addition, obtain some new Hermite-Hadamard functions whose first derivative in absolute value is by using Hölder power-mean integral inequalities. We also extend our initial results to several variables. Next, point out applications give estimates approximati...