We present a set-oriented graph-based framework for continuous-time optimal transport over nonlinear dynamical systems. Our approach allows us to recover provably optimal control laws for steering a given initial distribution in phase space to a final distribution in prescribed finite time for the case of nonlinear control-affine systems. The action of the controlled vector fields is approximat...

In this paper the quasilinearization technique along with the Chebyshev polynomials of the first type are used to solve the nonlinear-quadratic optimal control problem with terminal state constraints. The quasilinearization is used to convert the nonlinear quadratic optimal control problem into sequence of linear quadratic optimal control problems. Then by approximating the state and control va...

In this study criterion of maximum profit intensity for transportation problems, in contrast to the known criteria of minimum expenses or minimum time for transportation, is considered. This criterion synthesizes financial and time factors and has real economic sense. According to the purpose of this paper, the algorithm of the solution of such a transportation problem is constructed. It is sho...

increasing of word demand load caused a new distributed generation (dg) to enter to powersystem. one of the most renewable energy is the photovoltaic system. it is beneficial to use thissystem in both separately as well as connected to power system using power electronics interface.in this paper an optimal pid controller for photovoltaic system systems has been developed. theoptimization techni...

We consider the optimal control of feedback linearizable dynamic systems subject to mixed state and control constraints. The optimal controller is allowed to be discontinuous including bang-bang control. Although the nonlinear system is assumed to be feedback linearizable, in general, the optimal control does not linearize the dynamics. The continuous optimal control problem is discretized usin...

Abstract In this paper, we study the optimal multiple stopping problem under filtration-consistent nonlinear expectations. The reward is given by a set of random variables satisfying some appropriate assumptions, rather than process that right-continuous with left limits. We first construct time for single problem, which no longer hitting processes. then prove induction value function can be in...