动力系统理论中的超空间概念

[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory Pub Date : 1990-03-11 DOI:10.1109/SSST.1990.138190

C.D. Johnson, J. Zhu

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引用次数: 8

摘要

提出了一种新的状态空间概念的概括，称为超状态空间，或简称超空间。超空间的概念使我们能够在不显式求解系统状态方程的情况下快速确定系统动力学行为的某些重要几何和解析特征。超空间概念的有用性通过来自现代系统理论不同领域的几个例子来证明。

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The concept of hyperspace in dynamical system theory

A new generalization of the state-space concept called hyperstate space, or simply hyperspace, is presented. The concept of hyperspace enables the quick determination of certain important geometric and analytic features of system-dynamic behavior without explicitly solution of the system state equations. The usefulness of the hyperspace concept is demonstrated by several examples from different areas of modern system theory.<>

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[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory

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