VIBRATIONAL STABILIZATION OF NONLINEAR PARABOLIC-SYSTEMS WITH NEUMANN BOUNDARY-CONDITIONS

被引:13
作者
BENTSMAN, J
HONG, KS
机构
[1] Department of Mechanical Industrial Engineer ing, University of Illinois, Urbana-Champaign, Urbana
关键词
D O I
10.1109/9.75112
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 note derives the conditions for the existence of the stabilizing vibrations for a class of distributed parameter systems governed by parabolic partial differential equations with Neumann boundary conditions and gives the guidelines for the choice of the vibration parameters that ensure stabilization. Examples of vibrational stabilization of unstable systems by linear multiplicative and vector additive vibrations are given to support the theory.
引用
收藏
页码:501 / 507
页数:7
相关论文
共 18 条
[1]  
[Anonymous], 1966, PERTURBATION THEORY
[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]   VIBRATIONAL CONTROL OF NONLINEAR-SYSTEMS - VIBRATIONAL CONTROLLABILITY AND TRANSIENT-BEHAVIOR [J].
BELLMAN, RE ;
BENTSMAN, J ;
MEERKOV, SM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (08) :717-724
[4]   VIBRATIONAL CONTROL OF A CLASS OF NONLINEAR-SYSTEMS BY NONLINEAR MULTIPLICATIVE VIBRATIONS [J].
BENTSMAN, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (08) :711-716
[5]  
BENTSMAN J, 1990, ASME, V112, P313
[6]  
BENTSMAN J, 1987, IFAC P SERIES, V3, P453
[7]  
BENTSMAN J, 1987, 1987 IFAC WORLD C MU, V9, P285
[8]   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
[9]  
FAKHFAKH J, 1990, ASME, V112, P42
[10]  
Henry D., 1981, GEOMETRIC THEORY SEM, DOI [10.1007/BFb0089647, DOI 10.1007/BFB0089647]