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Yayın Application of model predictive control to dynamic economic dispatch with emission(Maltepe Üniversitesi, 2009) Elaiw, A. M.; Shehata, A. M.The emission of gaseous pollutants including SO2, NOx, CO and CO2 from fossil-fueled electric power generating plants affects the human health directly or indirectly. Therefore, the controlling of pollution in power plants has received considerable attention in recent years. The amount of emission can be reduced by formulating dynamic economic emission dispatch (DEED) problem which is a multi-objective optimization problem, where both fuel cost and emission are simulta- neously minimized. The emission can also be controller by formulating an emission constrained dynamic economic dispatch (EDED) problem where the fuel cost is minimized while treating the emission as constraints. In [1] a model predictive con- trol (MPC) approach is proposed to the dynamic economic dispatch (DED) problem. It is proven that, the MPC approach provides solutions converging to the optimal solution of an extended version of the DED problem and the MPC algorithm is also robust under certain disturbances and uncertainties. In this paper we applied the MPC approach proposed in [1] to DEED and EDED problems. Two examples are presented consisting of five and ten units, to show the convergence and robustness of the MPC solutions.Yayın Global properties of a class of models for HIV infection of CD4+ T cells and macrophages(Maltepe Üniversitesi, 2009) Elaiw, A. M.In this paper, we study the global properties of a class of human immunodeficiency virus (HIV) models. The basic model is a 5-dimensional nonlinear ODEs that describes the interaction of the HIV with two target cells, CD4+ T cells and macrophages. An HIV model with exposed state and a model with nonlinear incidence rate are also analyzed. Lyapunov functions are constructed to establish the global asymptotic stability of the uninfected and infected steady states. We have proven that if the basic reproduction number R0 is less than unity, then the uninfected steady state is globally asymptotically stable. If R0>1 (or if the infected steady state exists), then the infected steady state is globally asymptotically stable. In a control system framework, we have shown that the HIV model incorporating the effect of Highly Active AntiRetroviral Therapy (HAART) is globally asymptotically controllable to the uninfected steady state.