ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS IN ADAPTIVE-CONTROL SYSTEMS

被引：96

作者：

POLYCARPOU, MM ^{[1
]}

IOANNOU, PA ^{[1
]}

机构：

[1] UNIV CINCINNATI,DEPT ELECT & COMP ENGN,CINCINNATI,OH 45221

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1993年 / 38卷 / 03期

关键词：

D O I：

10.1109/9.210149

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The issue of existence and uniqueness of solutions, which arises in the analysis of adaptive control systems, is investigated. We give sufficient conditions that guarantee existence and uniqueness in positive time of solutions to differential equations describing a wide class of adaptive schemes. The concept of Filippov's solution is introduced as a method of dealing with discontinuous adaptive systems.

引用

页码：474 / 479

页数：6

共 13 条

[1]

Coddington A., 1955, THEORY ORDINARY DIFF

[2]

Filippov A.F., 1964, TRANSACTION AMS, V42, P199, DOI DOI 10.1090/TRANS2/042/13

[3]

GOODWIN GC, 1987, AUTOMATICA, V23

[4] DISCONTINUOUS DIFFERENTIAL-EQUATIONS .1. [J].

HAJEK, O .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1979, 32 (02) :149-170

[5]

Hale J.K., 1969, ORDINARY DIFFERENTIA, VXXI, P332

[6] THEORY AND DESIGN OF ROBUST DIRECT AND INDIRECT ADAPTIVE-CONTROL SCHEMES [J].

IOANNOU, P ;

SUN, J .

INTERNATIONAL JOURNAL OF CONTROL, 1988, 47 (03) :775-813

[7]

KOKOTOVIC PV, 1990, 6TH P YAL WORKS AD L, V3

[8] DESIGN ISSUES IN ADAPTIVE-CONTROL [J].

MIDDLETON, RH ;

GOODWIN, GC ;

HILL, DJ ;

MAYNE, DQ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (01) :50-58

[9]

MORSE AS, 1991, 9104 YAL U DEP EL EN

[10]

Narendra KS., 2012, STABLE ADAPTIVE SYST

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