On controlled Hamilton and Hamilton–Jacobi differential equations of higher-order
On controlled Hamilton and Hamilton–Jacobi differential equations of higher-order
Abstract In this paper, we investigate the nonlinear dynamics associated with controlled Lagrangians involving higher-order derivatives. More precisely, we establish the controlled higher-order Hamilton ordinary differential equations (ODEs) and Hamilton–Jacobi partial differential equation (PDE) for the considered class of Lagrangians governed by higher-order derivatives of the state variables. Moreover, we …