Abstract
In many cases of interest, systems described by non-linear differential equations are modelled by linear equations for purposes of synthesizing feedback controllers. A theorem relating the stability properties of the linear model and the non-linear system is presented and discussed.
Original language | English (US) |
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Pages (from-to) | 1165-1168 |
Number of pages | 4 |
Journal | International Journal of Control |
Volume | 15 |
Issue number | 6 |
DOIs | |
State | Published - Jun 1972 |
Externally published | Yes |
Bibliographical note
Funding Information:t Communicated by the Author. This research was partially supported by N.S.F. Grant GK-3273 and A.F.O.S.R. Grant 66-0704C. t The vector norm IIzll = <I?-IZ(2)112 where z, is the ith component of z. The associated matrix norm B = (I~I I?_llb" 12)112 where the b,,'s are the elements of B.