โ Scribed by Yu. I. Berdyshev; A. G. Chentsov
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We derive closed-form solutions for the linear-quadratic (LQ) optimal control problem subject to integral quadratic constraints. The optimal control is a non-linear function of the current state and the initial state. Furthermore, the optimal control is easily calculated by solving an unconstrained
We discuss optimal control problems with integral state-control constraints. We rewrite the problem in an equivalent form as an optimal control problem with state constraints for an extended system, and prove that the value function, although possibly discontinuous, is the unique viscosity solution
This paper considers a linear-nonquadratic optimal control problem subject to nonlinear terminal inequality constraints. We approximate it by a series of approximate problems via the penalty method. It is shown that the optimal control functions of the approximate problems uniformly converge to the