<p style='text-indent:20px;'>In this article, we are concerned with optimal control for the transverse vibration of a moving string time-varying lengths. In fixed final time horizon case, Pontryagin maximum principle is established investigational system boundary, owing to Dubovitskii and Milyutin functional analytical approach. A remark then follows discussing utilization obtained necess...

The problem of attitude optimal control a spacecraft as solid body with the energy spent on maneuvering taken quadratic functional, and fixed transition time, is investigated. dynamic configuration boundary conditions an angular velocity are arbitrary; function not limited. According to Poinsot concept from theoretical mechanics interpretation motion around point help Pontryagin maximum princip...

Shape deformation analysis is concerned with determining a deformation of a given shape into another one, which is optimal for a certain cost. We provide the main ideas for a new general approach to shape deformation analysis, using the framework of optimal control theory. This point of view can be made independent from the parametrization of the shape, and allows to model general constrained s...

In this work, a fractional-order synthetic drugs transmission model with psychological addicts has been proposed along treatment. The effects of are deadly and sometimes even violent. We have studied the local global stability different criterion. existence uniqueness criterion positivity boundedness solutions also established. stabilities decided by basic reproduction number R0. analyzed sensi...

With the development of sharing economy, more and enterprises choose crowd logistics for distribution. Because platform uses social freelancers, service quality is difficult to guarantee. Considering reward-penalty mechanism, dynamic differential game models are constructed study optimal pricing services under stochastic demand based on control theory Pontryagin maximum principle. The numerical...

This work presents a methodology to derive analytical functionals, with embedded linear constraints among the components of vector (e.g., coordinates) that is function single variable time). prepares background necessary for indirect solution optimal control problems via application Pontryagin Maximum Principle. The presented part univariate Theory Functional Connections has been developed solv...

The paper analyses dynamical growth models predicting the cyclic development of investigated economic factors. provided research deals with an optimal control problem based on model production function Cobb–Douglas type. Following Pontryagin maximum principle, we derived Hamiltonian system and conducted its qualitative analysis, which reveals conditions for behaviour solutions around isolate st...

In this article we describe the principle of computations of optimal transfers between quasi-Keplerian orbits in the Earth-Moon system using low-propulsion. The spacecraft’s motion is modeled by the equations of the control restricted 3-body problem and we base our work on previous studies concerning the orbit transfer in the two-body problem where geometric and numeric methods were developped ...

We consider cost minimising control problems, in which the dynamical system is constrained by higher order differential equations of Euler–Lagrange type. Following ideas from a previous paper, we prove that curve controls uo(t) and set initial conditions σo give an optimal solution for problem considered type if only appropriate double integral greater than or equal to zero along any homotopy (...

We consider a general linear control system and a general quadratic cost, where the state evolves continuously in time and the control is sampled, i.e., is piecewise constant over a subdivision of the time interval. This is the framework of a linear-quadratic optimal sampleddata control problem. As a first result, we prove that, as the sampling periods tend to zero, the optimal sampled-data con...