PROPAGATION OF PARAMETRIC UNCERTAINTY VIA POLYTOPES

被引：47

作者：

BARMISH, BR ^{[1
]}

SANKARAN, J ^{[1
]}

机构：

[1] YALE UNIV,DEPT ENGN & APPL SCI,NEW HAVEN,CT 06520

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1979年 / 24卷 / 02期

关键词：

D O I：

10.1109/TAC.1979.1102011

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the discrete dynamical system x(k +1) = A(k)x(k) with n2 independently varying uncertainties in the entries of A(·). Although the set of possible states X(k) at time k is not necessarily convex, we show that the convex hull of this set can be recursively propagated forward in time. Copyright © 1979 by The Institute of Electrical and Electronics Engineers Inc.

引用

页码：346 / 349

页数：4

共 8 条

[1] RECURSIVE STATE ESTIMATION FOR A SET-MEMBERSHIP DESCRIPTION OF UNCERTAINTY [J].

BERTSEKAS, DP ;

RHODES, IB .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1971, AC16 (02) :117-+

[2]

HAMZA MH, 1971, IEEE T AUTOMAT CONTR, P281

[3]

LIN JN, 1972, IEEE T AUTOMAT CONTR, P547

[4]

Rockafellar RT., 1972, CONVEX ANAL

[5]

SANKARAN J, 1977 P JOINT AUT CON, P1089

[6]

SCHWEPPE F, 1968, IEEE T AUTOMAT CONTR, P22

[7]

WITSENHAUSEN HS, 1970, IEEE T AUTOMAT CONTR, P339

[8]

WITSENHAUSEN HS, 1968, IEEE T AUTOMAT CONTR, P556

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