具有对称性的微分-代数方程方程的局部和整体标准形
Local and global canonical forms for differential-algebraic equations with symmetries
摘要：
研究具有对称性的线性时变微分代数方程方程。我们处理的结构是自伴和斜伴系统。给出了同余下的局部和整体标准形，并将与之相关的微分方程流的几何性质分类为辛流或广义正交流.作为应用，本文的结果被应用于电路模拟和不可压缩流动中的耗散哈密顿系统的分析。
英文摘要：
Linear time-varying differential-algebraic equations with symmetries are studied. The structures that we address are self-adjoint and skew-adjoint systems. Local and global canonical forms under congruence are presented and used to classify the geometric properties of the flow associated with the differential equation as symplectic or generalized orthogonal flow. As applications, the results are applied to the analysis of dissipative Hamiltonian systems arising from circuit simulation and incompressible flow.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
