The time-optimal control of a distributed parameter system is derived in closed form. The class of systems studied in this work is distributed parameter systems whose dynamics are governed by the wave equation. A frequency domain approach is utilized to arrive at the time-optimal solution that is bang-off-bang. To corroborate the optimally of the control profile derived for the distributed para...

We revisit recent results about optimal periodic control for scalar dynamics with input integral constraint, under lack of convexity and concavity. show that in this more general framework, the solutions are bang-singular-bang generalize bang-bang convex case purely singular concave one. introduce a non-local slope condition to characterize arcs. The illustrated on class bioprocesses models.

Point-to-point fast hand movements, often referred to as ballistic movements, are a class of movements characterized by straight paths and bell-shaped velocity profiles. In this paper we propose a bang-bang optimal control policy that can achieve such movements. This optimal control policy is accomplished by minimizing the L∞ norm of the jerk profile of ballistic movements with known initial po...

In this paper, we study two subjects on internally controlled heat equations with time varying potentials: the attainable subspaces and the bang-bang property for some time optimal control problems. We present some equivalent characterizations on the attainable subspaces, and provide a sufficient conditions to ensure the bang-bang property. Both the above-mentioned characterizations and the suf...

String theory can (in principle) describe gravity at all curvature scales, and can be applied to cosmology to look back in time beyond the Planck epoch. The duality symmetries of string theory suggest a cosmological picture in which the imprint of a primordial, pre-big bang phase could still be accessible to present observations. The predictive power of such a scenario relies, however, on our a...

background and objective: sleepiness is one of the important factors in motor vehicle accidents, especially in commercial drivers (cds). obstructive sleep apnea (osa) has an important role in developing sleepiness. the stop-bang questionnaire is used in medical examinations of commercial drivers in iran by law. this study aimed to investigate the judgment that drivers prefer not to report their...