In this paper, we present a capable algorithm for solving a class of nonlinear optimal control problems (OCP's). The approach rest mainly on the differential transform method (DTM) which is one of the approximate methods. The DTM is a powerful and efficient technique for finding solutions of nonlinear equations without the need of a linearization process. Utilizing this approach, the optimal co...

In this paper an approach based on evolutionary algorithms to find Pareto optimal pair of state and control for multi-objective optimal control problems (MOOCP)'s is introduced‎. ‎In this approach‎, ‎first a discretized form of the time-control space is considered and then‎, ‎a piecewise linear control and a piecewise linear trajectory are obtained from the discretized time-control space using ...

background: the trajectory of marital quality over the life course assumes a curvilinear pattern and declines over time. however, most studies to date have been conducted in developed societies, leaving the generalizability of their findings open to skepticism. in this study, we aimed to delineate the trajectory of marital satisfaction in iran. methods: using cluster-sampling method, representa...

in this study, the problem of determining an optimal trajectory of a nonlinear injection into orbit problem with minimum time was investigated. the method was based on orthogonal polynomial approximation. this method consists of reducing the optimal control problem to a system of algebraic equations by expanding the state and control vector as chebyshev or legendre polynomials with undetermined...

This work presents an optimization system developed to find optimal parameters for neural oscillators used for trajectory generation of an exoskeleton for lower limbs. An exoskeleton can be considered as a biped robot, with a given force interaction between the user and the robot. Since biped robots must present cyclical joint trajectories during the walking, neural oscillators are being used a...

A hotspot of a moving entity is a region in which it spends a significant amount of time. Given the location of a moving object through a certain time interval, i.e. its trajectory, our goal is to find its hotspots. We consider axis-parallel square hotspots of fixed side length, which contain the longest contiguous portion of the trajectory. Gudmundsson, van Kreveld, and Staals (2013) presented...

Purpose of research. Development a methodology for determining deviations pilotless aircrafts from given trajectory in conditions signals loss navigation satellites. Methods. The technique is based on functional relationship between deviation parameters and changes longitudinal transverse parallaxes overlapping images the underlying surface due to these deviations. Mathematical description comp...

| This paper addresses dynamic trajectory planning which is deened as trajectory planning for a robot subject to dynamic constraints and moving in a dynamic workspace, i.e. with moving obstacles. To begin with, we propose the novel concept of state-time space as a tool to formulate dynamic trajectory planning problems. The state-time space of a robot is its state space augmented of the time dim...