Invertibility of multivariable nonlinear control systems

Author

Hirschorn, Ronald M.

Author_Institution

Queen´´s University, Kingston, Ontario, Canada

Volume

Issue

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

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=830856