M. H. Noori Skandari

Work place: School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

E-mail: Math.Noori@yahoo.com


Research Interests: Computer systems and computational processes, Process Control System, Combinatorial Optimization


Mohammad Hadi Noori Skandari Received his B.Sc., M.Sc. and Ph.D. degrees in Applied Mathematics from Ferdowsi University of Mashhad, Mashhad, Iran, in 2005, 2007 and 2012 respectively. He is an Assistant Professor in Applied Mathematics in Faculty of Mathematics at Shahrood University of Technology, Shahrood, Iran. His research interests include Optimal Control, Optimization, Numerical Methods, Nonsmooth systems, Control Systems, Fuzzy Systems and Modeling.

Author Articles
On the Validity of Nonlinear and Nonsmooth Inequalities

By M. H. Noori Skandari

DOI: https://doi.org/10.5815/ijisa.2017.01.06, Pub. Date: 8 Jan. 2017

In this article, a new approach is presented to survey the validity of the nonlinear and nonsmooth inequalities on a compact domain using optimization. Here, an optimization problem corresponding with the considered inequality is proposed and by solving of which, the validity of the inequality will be determined. The optimization problem, in smooth and nonsmooth forms, is solved by a linearization approach. The efficiency of presented approach is illustrated in some examples.

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Solving a Class of Non-Smooth Optimal Control Problems

By M. H. Noori Skandari H. R. Erfanian A.V. Kamyad M. H. Farahi

DOI: https://doi.org/10.5815/ijisa.2013.07.03, Pub. Date: 8 Jun. 2013

In this paper, we first propose a new generalized derivative for non-smooth functions and then we utilize this generalized derivative to convert a class of non-smooth optimal control problem to the corresponding smooth form. In the next step, we apply the discretization method to approximate the obtained smooth problem to the nonlinear programming problem. Finally, by solving the last problem, we obtain an approximate optimal solution for main problem.

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A New Approach for the Generalized First Derivative and Extension It to the Generalized Second Derivative of Nonsmooth Functions

By Hamid Reza Erfanian M. H. Noori Skandari A.V. Kamyad

DOI: https://doi.org/10.5815/ijisa.2013.04.10, Pub. Date: 8 Mar. 2013

In this paper, first derivative of smooth function is defined by the optimal solution of a special optimization problem. In the next step, by using this optimization problem for nonsmooth function, we obtain an approximation for first derivative of nonsmooth function which it is called generalized first derivative. We then extend it to define generalized second derivative for nonsmooth function. Finally, we show the efficiency of our approach by evaluating derivative and generalized first and second derivative of some smooth and nonsmooth functions, respectively.

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Other Articles