Output Feedback Pole Assignment for Transfer Functions with Symmetries
作者： Uwe Helmke , Joachim Rosenthal , Xiaochang Alex Wang
DOI: 10.1137/050644276
关键词: Mathematics 、 Grassmannian 、 Topology 、 Intersection theory 、 Full state feedback 、 Lagrangian Grassmannian 、 Pure mathematics 、 Projective space 、 Hamiltonian mechanics 、 Homogeneous space 、 Symmetric function
摘要: This paper studies the problem of pole assignment for symmetric and Hamiltonian transfer functions. A necessary sufficient condition by complex output feedback transformations is given. Moreover, in case where McMillan degree coincides with number parameters appearing transformations, we derive an explicit combinatorial formula assigning gains. The proof uses intersection theory projective space as well a Lagrangian Grassmann manifold.
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