Air traffic control is at the heart of the problem. The number of FAA controllers has declined by about 6% since 2015, even as total flights have risen by about 10%. Several factors — including ...

Practice projectile motion with fully solved physics problem examples. This video walks through step-by-step solutions to help you understand equations, motion components, and problem-solving ...

Abstract: Geometric insight may lead to a quick solution for a class of non-LQ optimal control problems. We illustrate this with a simple, inconspicuous-looking example. While necessary conditions for ...

Determining the least expensive path for a new subway line underneath a metropolis like New York City is a colossal planning challenge—involving thousands of potential routes through hundreds of city ...

The radios and radar keep going out at Newark International, and it's part of a broader crisis in air traffic control. It happened again Sunday, when flights in and out of the New Jersey airport were ...

The mounting air traffic control problems at Newark Liberty International Airport caused aviation officials to implement a ground stop for flights on Sunday morning, the third such incident in the ...

We numerically study the optimal control of an atomic Bose-Einstein condensate in an optical lattice. We present two generalizations of the gradient-based algorithm, GRAPE, in the non-linear case and ...

Abstract: A novel technique to solve optimal control problems with state constraints is proposed. We exploit the theory of exact penalty functions, used in mathematical programming, to construct a ...

We adapt non-linear optimal control theory (OCT) to control oscillations and network synchrony and apply it to models of neural population dynamics. OCT is a mathematical framework to compute an ...

In this paper, we use partial differential equations to deal with constraint optimal control problems. We construct extremal flows by differential-algebraic equation to approximate the optimal ...