Fractional representation, algebraic geometry, and the simultaneous stabilization problem

Fractional representation, algebraic geometry, and the simultaneous stabilization problem
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DOI:
10.1109/tac.1982.1103005
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发表时间:
1982-08
影响因子:
6.8
通讯作者:
R. Saeks;J. Murray
R. Saeks;J. Murray
中科院分区:
计算机科学2区
文献类型:
--
作者:
R. Saeks;J. Murray

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分数表示方法反馈系统设计和代数几何方法的系统理论之间的显式关系,制定和使用的反馈系统问题的全局解。这些技术,然后应用于同时稳定问题,产生一个自然的几何标准,一组植物同时稳定的一个单一的补偿器。
An explicit relationship between the fractional representation approach feedback system design and the algebro-geometric approach to system theory, is formulated and used to derive a global solution to the feedback system problem. These techniques are then applied to the simultaneous stabilization problem, yielding a natural geometric criterion for a set of plants to be simultaneously stabilized by a single compensator.