In this paper, an optimal control for Hamiltonian control systems with external variables will be formulated and analysed. Necessary and sufficient conditions which lead to Pantryagin’s principle are stated and elaborated. Finally it is shown how the Pontryagin’s principle fits very well to the theory of Hamiltonian systems. The case of Potryagin’s maximum principle will be considered in detail...

Article history: Received 25 June 2015 Accepted 26 June 2015 Available online 30 June 2015 Communicated by C.R. Doering

This work deals with effects of asymmetric stiffness on the dynamic behaviour of the rotor system. The analysis is presented through an extended Lagrangian Hamiltonian mechanics on the asymmetric rotor system, where symmetries are broken in terms of the rotor stiffness. The complete dynamics of asymmetries of rotor system is investigated with a case study. In this work, a mathematical model is ...

A bstract When a system emits gravitational radiation, the Bondi mass decreases. If energy is Hamiltonian, it can thus only be time-dependent Hamiltonian. In this paper, we show that understood as Hamiltonian on covariant phase space. Our derivation starts from formulation in domains with boundaries are null. We introduce most general boundary conditions generic such null boundary, and compute ...