Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian are elegant compact formalism classical mechanics, where the dynamics is fully determined by one scalar function, Hamiltonian. The solution trajectories often constrained to evolve on a submanifold linear vector space. In this work, we propose new approaches for acc...

In this paper, a numerical method for solving the constrained optimal control of time-varying singular systems with quadratic performance index is presented. Presented method is based on Bernste in polynomials. Operational matrices of integration, differentiation and product are introduced and utilized to reduce the optimal control of time-varying singular problems to the solution of algebraic ...