Title :
The concept of hyperspace in dynamical system theory
Author :
Johnson, C.D. ; Zhu, J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Alabama Univ., Huntsville, AL, USA
Abstract :
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
Keywords :
system theory; analytic features; dynamical system theory; geometric features; hyperspace; hyperstate space; Control theory; Equations; Functional analysis; Motion analysis; Nonlinear systems; Stability; State-space methods; Sufficient conditions; Visualization;
Conference_Titel :
System Theory, 1990., Twenty-Second Southeastern Symposium on
Conference_Location :
Cookeville, TN
Print_ISBN :
0-8186-2038-2
DOI :
10.1109/SSST.1990.138190
