STABILITY-CRITERION FOR LINEAR OSCILLATORY PARABOLIC-SYSTEMS

被引:7
作者
HONG, KS
BENTSMAN, J
机构
[1] Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL
来源
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 1992年 / 114卷 / 01期
关键词
D O I
10.1115/1.2896501
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents a stability criterion for a class of distributed parameter systems governed by linear oscillatory parabolic partial differential equations with Neumann boundary conditions. The results of numerical simulations that support the criterion are presented as well.
引用
收藏
页码:175 / 178
页数:4
相关论文
共 20 条
[1]   STABILITY OF FAST PERIODIC-SYSTEMS [J].
BELLMAN, R ;
BENTSMAN, J ;
MEERKOV, SM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (03) :289-291
[2]   VIBRATIONAL CONTROL OF NONLINEAR-SYSTEMS - VIBRATIONAL STABILIZABILITY [J].
BELLMAN, RE ;
BENTSMAN, J ;
MEERKOV, SM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (08) :710-716
[3]   OSCILLATIONS-INDUCED TRANSITIONS AND THEIR APPLICATION IN CONTROL OF DYNAMIC-SYSTEMS [J].
BENTSMAN, J .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1990, 112 (03) :313-319
[4]   VIBRATIONAL STABILIZATION OF NONLINEAR PARABOLIC-SYSTEMS WITH NEUMANN BOUNDARY-CONDITIONS [J].
BENTSMAN, J ;
HONG, KS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (04) :501-507
[5]   VIBRATIONAL CONTROL OF AN EXOTHERMIC REACTION IN A CSTR - THEORY AND EXPERIMENTS [J].
CINAR, A ;
DENG, J ;
MEERKOV, SM ;
SHU, XS .
AICHE JOURNAL, 1987, 33 (03) :353-365
[6]  
FAKHFAKH J, 1990, ASME, V112, P42
[7]  
Henry D., 1989, GEOMETRIC THEORY SEM, DOI DOI 10.1007/BFB0089647
[8]  
HONG KS, 1991, UNPUB IEEE T AUTOMAT
[9]  
Kato T., 1976, PERTURBATION THEORY, V2nd ed.
[10]   ROBUST-CONTROL OF LINEAR TIME-INVARIANT PLANTS USING PERIODIC COMPENSATION [J].
KHARGONEKAR, PP ;
POOLLA, K ;
TANNENBAUM, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (11) :1088-1096