Jayakumar Kokila

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This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the(More)
Keywords: Relative controllability Time delays Distributed delays Fractional derivative Mittag–Leffler function a b s t r a c t This paper is concerned with the controllability of nonlinear fractional dynamical systems with time varying multiple delays and distributed delays in control defined in finite dimensional spaces. Sufficient conditions for(More)
The Web has become an excellent source for assembling consumer opinions. There are now several Web sites containing such opinions, e.g., customer reviews of products, forums, discussion groups, and blogs. This paper focuses on online customer reviews of products. It makes two contributions. First, it proposes a framework for analyzing and comparing consumer(More)
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