Stability and bifurcation properties of index-1 DAEs

被引:19
作者
Beardmore, RE
机构
[1] Univ Bath, Bath Ctr Nonlinear Mech, Claverton Down, England
[2] Brunel Univ, BIPS, Uxbridge UB8 3PH, Middx, England
关键词
singularity-induced bifurcation; spectral perturbation;
D O I
10.1023/A:1019166725822
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is well known that an equilibrium of a semi-explicit, index-1 differential-algebraic equation under a parameter variation may encounter the singularity manifold. It is a generic property of this encounter that one eigenvalue of the linear stability mapping associated with the equilibrium will pass from one half of the complex plane to the other without passing through the imaginary axis. This is known as singularity-induced bifurcation and an equivalent result is proven in this paper. While this property is generic, it is shown how more than one eigenvalue can diverge in an analogous manner, with applications in electrical power systems.
引用
收藏
页码:43 / 53
页数:11
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