This paper is addressed to discuss the edge super trimagic total labeling on some graphs which are corona, double ladder, quadrilateral snake and alternate triangular snake. The main results are the edge super trimagic total label for these graphs. Furthermore, it was prove that corona is a graph with edge super trimagic total labeling, a double ladder with odd ladder is graph with edge super trimagic total labeling, quadrilateral snake is a graph with edge super trimagic total labeling and finally an alternate triangular snake with odd ladder is graph with edge super trimagic total labeling.

<span>Biomass fuel such as briquette is one of an alternative energy regarded to the shortage of the <span>fosil fuel and rising its prices. The byproduct of sago starch industry is the waste that remain <span>the environmental problem because of the odor. However this agricultur waste such as trunk <span>cortex and fibre has a potential application as a raw material for briquette.The fibre and trunk <span>cortex act as matrix material of briquette. The utilizing of sago waste as a biomass briquette <span>and the effect of ratio of matrix/binder to the density, time of compustion and gross heat of <span>the briquette have been elucidated sistematically. The analyzing of gross heat using adiabatic <span>calorimetry indicated that the briquette prepared with the ratio of binder/matrix of 3:4 (mass <span>ratio) had the maximum value of 3929.5 kal/g. The duration of combusion was proposional <span>with density of the briquette.</span></span></span></span></span></span></span></span></span><br /></span>

Abstract. In this paper, we consider a numerical method for designing optimal control on Linear Quadratic Regulator (LQR) problem. In the optimal control design process through Pontryagin Maximum Principle (PMP), we obtain a system of differential equations in state and costate variables. This system lacks of initial condition on the adjoint variables, and this situation creates classic difficulty for solving optimal control problems. This paper proposes a constructive method to approximate the initial condition of the adjoint system.

No abstract