A result of P.E. Crouch and F. Lamnabhi-Lagarrigue (1988) which characterizes Hamiltonian systems described by second-order single-input single-output (SISO) input-output differential equations is extended. A general formalism that defines the adjoint variational equations from the input-output differential equation representation is given. This is used to characterize Hamiltonian systems by using the general results of P.E. Crouch and A.J. van der Schaft (1987), i.e., Hamiltonian systems are those systems for which the variational and adjoint variational systems coincide.
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机译：p.e.的结果。 Crouch和F. Lamnabhi-Lagarrigue（1988），它表征了二阶单输入单输出（SISO）输入 - 输出差分方程所描述的Hamiltonian系统。 给出了从输入输出差分方程表示中定义伴随变化方程的一般形式主义。 这用于通过使用P.E的一般结果来表征Hamiltonian系统。 蹲下和a.j. van der Schaft（1987），即Hamiltonian系统是变分和伴随变分系统重合的系统。
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