DocumentCode :
830856
Title :
Invertibility of multivariable nonlinear control systems
Author :
Hirschorn, Ronald M.
Author_Institution :
Queen´´s University, Kingston, Ontario, Canada
Volume :
24
Issue :
6
fYear :
1979
fDate :
12/1/1979 12:00:00 AM
Firstpage :
855
Lastpage :
865
Abstract :
This paper gives sufficient conditions for the invertibility of nonlinear control systems of the form \\dot{x}= A(x)+ u_{1}B_{1}(x) +... + u_{m} B_{m}(x);y=c(x) , where the state space is a real analytic manifold. These conditions are also necessary in the case of single-input nonlinear systems and multivariable time-invariant linear systems. For invertible systems we construct nonlinear inverse systems.
Keywords :
Inverse systems; Nonlinear systems, continuous-time; Control systems; Differential equations; Functional analysis; Linear systems; Mathematics; Nonlinear control systems; Nonlinear systems; Stability; State-space methods; Statistical distributions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1979.1102181
Filename :
1102181
Link To Document :
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