Approximate Solutions of Nonsmooth Systems via Generalized Euler-Lagrange and Hamiltonian Equations

Abstract

Recently the traditional calculus of variations has been extended to be applicable for systems containing nonsmooth function. In this paper, we have investigated the generalized derivative of nonsmooth functions. The obtained results were applied to investigate the generalized Euler-Lagrange and Hamilton equations for constrained system. The approach was applied within an illustrative.