哈密顿-雅可比方法对非线性非完整系统的适用性

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Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems

摘要: 本文用庞加莱(Poincaré)形式将哈密顿-雅可比方法(Hamilton-Jacobi method)推广到具有非线性非完整约束的动力系统的运动情况.研究了本方法对该系统推广的必要条件和充分条件.并用非完整系统的某些具体实例进行了说明.

Abstract: This paper uses Poincare formalism to obtain a generalization of the Hamilton-Jacobi method of integrating dynamical systems moving with nonlinear nonholonomic constraints. Necessary and sufficient conditions are investigated for the applicability of this method to such systems. The method is illustrated by considering some concrete examples of nonholonomic systems.

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