This article is devoted to the optimal control of state equations with memory of the form:

A typical left-invariant optimal control problem on the rotation group SO (3) is investigated. The reduced Hamilton equations associated with an extremal curve are derived in a simple and elegant manner. These equations are then explicitly integrated by Jacobi elliptic functions.

While chemotherapy is an effective method for treating cancers such as colorectal cancer, its effectiveness may be dampened by the drug resistance and it may have significant side effects due to the destruction of normal cells during the treatment. As a result, there is a need for research on choosing an optimal chemotherapy treatment plan that minimizes the number of cancerous cells while ensu...

Triangulation refers to the problem of finding a 3D point from its 2D projections on multiple images taken at different camera poses. For solving this problem, it is common practice use so-called optimal triangulation method. But, method can be only if we assume no uncertainty in parameters. In paper, an extensive comparison between various existing methods for calibrated cameras performed, whi...

in this study, 3 models of time-varying parameters (tvp), dynamic model selection (dms) and dynamic model averaging (dma) and a comparison with the ordinary least squares (ols) method in matlab in the time period 2003-2013 (with data on a monthly basis) are discussed. in the present study, the variables of unofficial exchange rate changes, interest rate changes and inflation in oil price foreca...

in this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. the sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations to the nonlinear algebraic equations. then, the newton-raphson method is used for solving these sets of algebraic equations. to present ability ...

The problem of optimal economic operation of hydrothermal electric power systems is solved using powerful continuation method. While in conventional approach, fixed generation voltages are used to avoid convergence problems, in the proposed algorithm, they are treated as variables so that better solutions can be obtained. The algorithm is tested for a typical 5-bus and 17-bus New Zealand networ...