INTEGRAL MANIFOLDS AND DECOMPOSITION OF SINGULARLY PERTURBED SYSTEMS

被引：88

作者：

SOBOLEV, VA ^{[1
]}

机构：

[1] KUIBYSHEV STATE UNIV,DEPT DIFFERENTIAL EQUAT,KUIBYSHEV,USSR

来源：

SYSTEMS & CONTROL LETTERS | 1984年 / 5卷 / 03期

关键词：

D O I：

10.1016/S0167-6911(84)80099-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

引用

页码：169 / 179

页数：11

共 20 条

[1]

BARIS JS, 1969, UKRAIN MAT Z, V21, P291

[2]

Chang K., 1972, SIAM J MATH ANAL, V3, P520, DOI [10.1137/0503050, DOI 10.1137/0503050]

[3] GEOMETRIC SINGULAR PERTURBATION-THEORY FOR ORDINARY DIFFERENTIAL-EQUATIONS [J].

FENICHEL, N .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1979, 31 (01) :53-98

[4]

IOANNOU PA, 1983, LECTURE NOTES CONTRO, V47

[5] STABLE CENTER-STABLE CENTER CENTER-UNSTABLE UNSTABLE MANIFOLDS [J].

KELLEY, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1967, 3 (04) :546-&

[6] SINGULAR PERTURBATIONS AND ORDER REDUCTION IN CONTROL-THEORY - OVERVIEW [J].

KOKOTOVIC, PV ;

OMALLEY, RE ;

SANNUTI, P .

AUTOMATICA, 1976, 12 (02) :123-132

[7] RICCATI EQUATION FOR BLOCK-DIAGONALIZATION OF ILL-CONDITIONED SYSTEMS [J].

KOKOTOVIC, PV .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1975, 20 (06) :812-814

[8] GEOMETRIC APPROACH TO BOUNDARY-LAYER PROBLEMS EXHIBITING RESONANCE [J].

KOPELL, N .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1979, 37 (02) :436-458

[9]

KOPELL N, 1977, RES NOTES MATH, V14

[10] NUMERICAL-METHODS FOR SINGULAR PERTURBATION PROBLEMS [J].

KREISS, B ;

KREISS, HO .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1981, 18 (02) :262-276

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