n次元システムの強可安定性についての幾何的条件及び関連する計算法(自然科学)

概要

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An n-dimensional linear system described by a rational transfer function is structurally stable by definition if the function is free from 0 on the n-D polydisc in the complex space. A system is said to be strongly stabilizable if there exists a stable controller that makes the system stable. A topological condition was recently derived by Shiva Shankar to determine whether a system can be strongly stabilized by a complex controller or not. However, the condition for the existence of a real controller, which is of practical importance, remained unknown. Here we for the first time give the condition for the existance of a real controller, which is a deep generalization of Youla's well known parity interlacing property of 1-D system. Furthermore, computational methods based on the cylindrical algebraic decomposition of algebraic varieties are introduced to give solutions to related problems.
岐阜大学の論文
1997-03-21