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Faieghi M.,Islamic Azad University at Miyaneh | Kuntanapreeda S.,King Mongkuts University of Technology Bangkok | Delavari H.,Hamedan University of Technology | Baleanu D.,Cankaya University | Baleanu D.,Romanian Space Science Institute
Nonlinear Dynamics | Year: 2013

Based on the theory of stabilization of fractional-order LTI interval systems, a simple controller for stabilization of a class of fractional-order chaotic systems is proposed in this paper. We consider the structure of the chaotic systems as fractional-order LTI interval systems due to the limited amplitude of chaotic trajectories. We introduce a simple feedback controller for the interval system and then, based on a recently established theorem for stabilization of interval systems, we reach to a linear matrix inequality (LMI) problem. Solving the LMI yields an appropriate decoupling feedback control law which suffices to bring the chaotic trajectories to the origin. Several illustrative examples are given which show the effectiveness of the method. © 2013 Springer Science+Business Media Dordrecht.

Faieghi M.R.,Islamic Azad University at Miyaneh | Delavari H.,Hamedan University of Technology | Baleanu D.,Cankaya University | Baleanu D.,Romanian Space Science Institute
JVC/Journal of Vibration and Control | Year: 2012

Robust control of fractional-order Liu system is addressed in this paper. The proposed approach relies on sliding mode control being established on a novel fractional-order integral type sliding surface. Theoretically, based on classical Lyapunov stability theorem, it has been shown that under suitable conditions, the proposed controller guarantees the system's stability. Further, it is shown that the method presented is capable for both commensurate and incommensurate systems. In order to reduce the chattering effect, a fuzzy logic controller is employed. Numerical simulations verify these results. © The Author(s) 2011 Reprints and permissions: sagepub.co.uk/journalsPermissions.nav.

Faieghi M.R.,Islamic Azad University at Miyaneh | Delavari H.,Hamedan University of Technology | Baleanu D.,Cankaya University | Baleanu D.,King Abdulaziz University | Baleanu D.,Romanian Space Science Institute
Computers and Mathematics with Applications | Year: 2013

We consider a class of fractional-order chaotic systems which undergoes unknown perturbations. We revisit the problem of sliding mode controller design for robust stabilization of chaotic systems using one control input. In the recent works, it was assumed that one of the system equations are perturbed by uncertainties. For this case we show that the sliding mode dynamics are globally stable which is not addressed so far. Next, we allow that all the system's equations depend on uncertain terms and provide a theoretical justification for applicability of the existing design. We also determine the least amount of precise information about the chaotic system that is needed to design the controller.

Kisi O.,Canik Basari University | Kisi O.,Erciyes University | Ali Baba A.P.,Islamic Azad University at Miyaneh | Shiri J.,University of Tabriz
Journal of Irrigation and Drainage Engineering | Year: 2012

Estimation of daily pan evaporation values is of most importance in water resource system management and planning. This paper presents a study aimed at developing generalized neurofuzzy (GNF)-based evaporation models corresponding to Penman, Stephens-Stewart (SS), and Griffiths methods. A GNF model was also made by using temperature as the sole input parameter to evaluate the application of single-input temperature-based models for estimating the evaporation values. In the first part of the study, neurofuzzy (NF) evaporation models were developed and compared with Penman, SS, and Griffiths models for three weather stations located in Arizona, USA. Five-parameter NF models were generally found to be better than the Penman, SS, and Griffiths models. The NF models were used for estimating evaporations at the Tucson station by using the data from the Phoenix and Flagstaff stations in the second part of the study. It was found that NF models can be successfully used in cross-station applications. In the third part of the study, the GNF models were obtained by calibrating and using the pooled data from the Phoenix, Flagstaff, and Tucson stations located in Arizona and were tested using the data from weather stations in Albuquerque, NM; Tucumcari, NM; Cedar City, UT; and Ahwaz, Iran). Generalized SS and Griffiths models were also obtained and compared with GNF models. The comparison of the results revealed that the GNF models performed better than the Penman generalized SS, and Griffiths models. However, the generalized SS and Penman models were found to be better than the GNF model for the Ahwaz station. © 2012 American Society of Civil Engineers.

Asadpour J.,Islamic Azad University at Miyaneh
Optoelectronics and Advanced Materials, Rapid Communications | Year: 2011

Let G=(V,E) be a graph, where V is a non-empty set of vertices and E is a set of edges. Suppose that G be a graph, e=uvεE(G), d(u) be degree of vertex u. In this paper we compute Zagreb, Randic ́ and ABC indices Polynomial of TUC4C8(S), TUC4C8(R) nanotube and V-Phenylenic nanotorus.

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