We propose a sequential quadratic programming (SQP) method for the optimal control of large-scale dynamical systems. The method uses modified multiple shooting to discretize the dynamical constraints. When these systems have relatively few parameters, the computational complexity of the modified method is much less than that of standard multiple shooting. Moreover, the proposed method is demons...

Assumption 2 (Smoothness of the control problem) We assume that the function f : Rnx×nq 7→ Rx is sufficiently smooth. Note that Lipschitz continuity guarantees the unique existence of a solution x(·) of the differential equations for fixed q by virtue of the Picard-Lindelöf theorem. As we assume unique sensitivities in the following, also the partial derivative functions ∂f ∂x , ∂f ∂q , ∂f ∂x2 ...

The shoot2.0 package implements an indirect shooting method for optimal control problems. It is speci cally designed to handle control discontinuities, with an automatic switching detection that requires no assumptions concerning the number of switchings. Special care is also devoted to the computation of the Jacobian matrix of the shooting function, using the variational system instead of clas...

BACKGROUND Practising target-shooting sport requires focused attention and motoric steadiness. A previous non-controlled pilot study suggests that children with impairing symptoms of attention-deficit/hyperactivity disorder (ADHD) benefit from participating in target-shooting sport in local shooting associations, as rated by parents and teachers. This study aims at examining if, and to which ex...

To increase the predictive power of a model, one needs to estimate its unknown parameters. Almost all parameter estimation techniques in ordinary differential equation models suffer from either small convergence region or enormous computational cost. The method multiple shooting, on other hand, takes place between these two extremes. cost algorithm is mostly due calculation directional derivati...

Boundary Layer Flow past a stretching surface with constant wall temperature, of a nanofluid is studied for heat transfer characteristics. The system of partial differential equations describing such a flow is subjected to similarity transformations gives rise to a boundary value problem involving a system of ordinary differential equations. This system is solved by a shooting method. Effect of...

Feral goats (Capra hircus) and feral sheep (Ovis aries) occur on numerous islands throughout the world and cause severe damage to island resources. Damage includes large-scale alteration of plant communities, negative impacts on insular endemic species of plants and animals, and damage to soils and cultural resources. Complete eradication is the best solution to the problem. Proposed control te...

INTRODUCTION International studies have shown blood lead at levels causing health concern in recreational indoor shooters. We hypothesized that Danish recreational indoor shooters would also have a high level of blood lead, and that this could be explained by shooting characteristics and the physical environment at the shooting range. MATERIAL AND METHODS This was an environmental case study ...

The aim of this study was to investigate the level of vision impairment (VI) that would reduce performance in shooting; to guide development of entry criteria to visually impaired (VI) shooting. Nineteen international-level shooters without VI took part in the study. Participants shot an air rifle, while standing, toward a regulation target placed at the end of a 10 m shooting range. Cambridge ...