H. Mohammadian Bishe, A. Rahimi Kian, M. Sayyed Esfahani,
Volume 8, Issue 2 (June 2012)
Abstract
This paper proposes a Trust-Region Based Augmented Method (TRALM) to
solve a combined Environmental and Economic Power Dispatch (EEPD) problem. The
EEPD problem is a multi-objective problem with competing and non-commensurable
objectives. The TRALM produces a set of non-dominated Pareto optimal solutions for the
problem. Fuzzy set theory is employed to extract a compromise non-dominated solution.
The proposed algorithm is applied to the standard IEEE 30 bus six-generator test system.
Comparison of TRALM results with the various algorithms, reported in the literature shows
that the solutions of the proposed algorithm are very accurate for the EEPD problem.
M. Mohammadian, H. R. Momeni, M. Tahmasebi,
Volume 11, Issue 3 (September 2015)
Abstract
Artificially regulating gene expression is an important step in developing new
treatment for system-level disease such as cancer. In this paper, we propose a method to
regulate gene expression based on sampled-data measurements of gene products
concentrations. Inherent noisy behaviour of Gene regulatory networks are modeled with
stochastic nonlinear differential equation. To synthesize feedback controller, we formulate
sampling process as an impulsive system. By using a new Lyapunov function with
discontinuities at sampling times, state feedback gain that guarantees exponential meansquare
stability and H&infin performance is derived from LMIs. These LMIs also determine the
maximum allowable time between sampling points. A numerical example and a practical
application are presented to justify the applicability of the theoretical results
