STABILITY OF HIGH DIMENSIONAL NONLINEAR SYSTEMS USING KRASOVSKIIS THEOREM

被引:15
作者
BERGER, AJ
LAPIDUS, L
机构
[1] Princeton University, Princeton, New Jersey
[2] Shell Development Company, Emeryville, California
关键词
D O I
10.1002/aic.690150209
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
Liapunov's direct method is used to establish a finite region of asymptotic stability for nonlinear systems with an arbitrary number of state variables. The procedure is a geometric one in multidimensional space which uses the Fletcher‐Powell minimization technique to find the maximum time derivative of the Liapunov function on the closed Liapunov hypersurface. Three detailed examples are presented, the first being the classical 2‐variable CSTR with heat transfer and the third being a 32‐variable 16‐stage model of an adiabatic tubular reactor with axial diffusion. Copyright © 1969 American Institute of Chemical Engineers
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页码:171 / &
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