Local and Global Canonical Forms for Differential-Algebraic Equations with Symmetries
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 di...
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| Veröffentlicht in: | Vietnam journal of mathematics 2023, Vol.51 (1), p.177-198 |
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| container_title | Vietnam journal of mathematics |
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| creator | Kunkel, Peter Mehrmann, Volker |
| description | 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. |
| doi_str_mv | 10.1007/s10013-022-00596-x |
| format | Article |
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| ispartof | Vietnam journal of mathematics, 2023, Vol.51 (1), p.177-198 |
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| language | eng |
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| source | Springer Online Journals |
| subjects | Algebra Canonical forms Circuits Differential equations Differential geometry Fluid flow Hamiltonian functions Incompressible flow Mathematical analysis Mathematics Mathematics and Statistics Original Article |
| title | Local and Global Canonical Forms for Differential-Algebraic Equations with Symmetries |
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