The Experts below are selected from a list of 3868491 Experts worldwide ranked by ideXlab platform
Marzieh Najariyan - One of the best experts on this subject based on the ideXlab platform.
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Differentiability of type 2 fuzzy number valued functions
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Mehran Mazandarani, Marzieh NajariyanAbstract:Abstract In this paper, we define a Differentiability of the type-2 fuzzy number-valued functions. The definition is based on type-2 Hukuhara difference which is defined in the paper as well. The related theorem of the Differentiability of the type-2 fuzzy number-valued functions is derived. In addition, a parametric closed form of the perfect triangular quasi type-2 fuzzy numbers is introduced, and finally, the applicability and an approach to solving type-2 fuzzy differential equations are illustrated using some examples and cases.
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Differentiability of type-2 fuzzy number-valued functions
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Masoumeh Mazandarani, Marzieh NajariyanAbstract:In this paper, we define a Differentiability of the type-2 fuzzy number-valued functions. The definition is based on type-2 Hukuhara difference which is defined in the paper as well. The related theorem of the Differentiability of the type-2 fuzzy number-valued functions is derived. In addition, a parametric closed form of the perfect triangular quasi type-2 fuzzy numbers is introduced, and finally, the applicability and an approach to solving type-2 fuzzy differential equations are illustrated using some examples and cases. © 2013 Elsevier B.V.
Qiankun Song - One of the best experts on this subject based on the ideXlab platform.
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global exponential robust stability of cohen grossberg neural network with time varying delays and reaction diffusion terms
Journal of The Franklin Institute-engineering and Applied Mathematics, 2006Co-Authors: Qiankun SongAbstract:Abstract In this paper, the global exponential robust stability is investigated for Cohen–Grossberg neural network with time-varying delays and reaction–diffusion terms, this neural network contains time-invariant uncertain parameters whose values are unknown but bounded in given compact sets. Neither the boundedness and Differentiability on the activation functions nor the Differentiability on the time-varying delays are assumed. By using general Halanay inequality and M-matrix theory, several new sufficient conditions are obtained to ensure the existence, uniqueness, and global exponential robust stability of equilibrium point for Cohen–Grossberg neural network with time-varying delays and reaction–diffusion terms. Several previous results are improved and generalized, and three examples are given to show the effectiveness of the obtained results.
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stability in cohen grossberg type bidirectional associative memory neural networks with time varying delays
Nonlinearity, 2006Co-Authors: Qiankun SongAbstract:In this paper, the exponential stability problem is investigated for a class of Cohen–Grossberg-type bidirectional associative memory neural networks with time-varying delays. By using the analysis method, inequality technique and the properties of an M-matrix, several novel sufficient conditions ensuring the existence, uniqueness and global exponential stability of the equilibrium point are derived. Moreover, the exponential convergence rate is estimated. The obtained results are less restrictive than those given in the earlier literature, and the boundedness and Differentiability of the activation functions and Differentiability of the time-varying delays are removed. Two examples with their simulations are given to show the effectiveness of the obtained results.
Mehran Mazandarani - One of the best experts on this subject based on the ideXlab platform.
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Granular Differentiability of Fuzzy-Number-Valued Functions
IEEE Transactions on Fuzzy Systems, 2018Co-Authors: Mehran Mazandarani, Naser Pariz, Ali Vahidian KamyadAbstract:In this paper, using the concept of horizontal membership functions, a new definition of fuzzy derivative called granular derivative is proposed based on granular difference. Moreover, a new definition of fuzzy integral called granular integral is defined, and its relation with the granular derivative is given. A new definition of a metric-granular metric-on the space of type-1 fuzzy numbers, and a concept of continuous fuzzy functions are also presented. Restrictions associated to previous approaches-Hukuhara Differentiability, strongly generalized Hukuhara Differentiability, generalized Hukuhara Differentiability, generalized Differentiability, Zadeh's extension principle, and fuzzy differential inclusions-dealing with fuzzy differential equations (FDEs) are expressed. It is shown that the proposed approach does not have the drawbacks of the previous approaches. It is also demonstrated how this approach enables researchers to solve FDEs more conveniently than ever before. Moreover, we showed that this approach does not necessitate that the diameter of the fuzzy function be monotonic. It is also proved that the result of each of the four basic operations on fuzzy numbers introduced based on the proposed approach leads to a fuzzy number. Moreover, the condition for the existence of the granular derivative of a fuzzy function is provided by a theorem. Additionally, by two examples, it is shown that the existence of the granular derivative of a fuzzy function does not imply the existence of the generalized Hukuhara Differentiability of the fuzzy function, and vice versa. The terms doubling property and unnatural behavior in modeling phenomenon are also introduced. Furthermore, using some examples, the paper proceeds to elaborate on the efficiency and effectiveness of the proposed approach. Moreover, as an application of the proposed approach, the response of Boeing 747 to impulsive elevator input is obtained in the presence of uncertain initial conditions and parameters.
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Differentiability of type 2 fuzzy number valued functions
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Mehran Mazandarani, Marzieh NajariyanAbstract:Abstract In this paper, we define a Differentiability of the type-2 fuzzy number-valued functions. The definition is based on type-2 Hukuhara difference which is defined in the paper as well. The related theorem of the Differentiability of the type-2 fuzzy number-valued functions is derived. In addition, a parametric closed form of the perfect triangular quasi type-2 fuzzy numbers is introduced, and finally, the applicability and an approach to solving type-2 fuzzy differential equations are illustrated using some examples and cases.
Masoumeh Mazandarani - One of the best experts on this subject based on the ideXlab platform.
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Differentiability of type-2 fuzzy number-valued functions
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Masoumeh Mazandarani, Marzieh NajariyanAbstract:In this paper, we define a Differentiability of the type-2 fuzzy number-valued functions. The definition is based on type-2 Hukuhara difference which is defined in the paper as well. The related theorem of the Differentiability of the type-2 fuzzy number-valued functions is derived. In addition, a parametric closed form of the perfect triangular quasi type-2 fuzzy numbers is introduced, and finally, the applicability and an approach to solving type-2 fuzzy differential equations are illustrated using some examples and cases. © 2013 Elsevier B.V.
A. Tsourdos - One of the best experts on this subject based on the ideXlab platform.
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Robust stability analysis of a lateral flight control system for a missile
Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), 1999Co-Authors: B.a. White, A. TsourdosAbstract:A homing missile lateral autopilot is synthesized by exploiting the fact that under mild Differentiability conditions, nonlinear systems can be represented in quasilinear form. The robustness of the lateral missile velocity autopilot to uncertain aerodynamic parameters is then determined using Kharitonov's theorem.
