Inspired by the successes of stochastic algorithms in training deep neural networks and simulation interacting particle systems, we propose analyze a framework for randomized time-splitting linear-quadratic optimal control. In our proposed framework, linear dynamics original problem is replaced dynamics. To obtain dynamics, system matrix split into simpler submatrices time interval interest sub...

A linear-quadratic optimal control problem is considered for the infinite-dimensional model of a one-link flexible arm. Two boundary inputs are assumed to be available, namely joint torque at link base and transverse force tip link. The formulated solved using semigroup theory duality arguments. Simulation results provided support theoretical findings, comparing proposed LQ law with more conven...