Invertibility of observable multivariable nonlinear systems

Based on the algorithm of Hirschorn [1] for obtaining inverses, sufficient conditions for invertibility of observable multivariable nonlinear systems are derived. For observable and invertible systems, a static left-inverse system is constructed. For certain noninvertible systems, the sufficient con...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 27; no. 2; pp. 487 - 489
Main Author Singh, S.
Format Journal Article
LanguageEnglish
Published IEEE 01.04.1982
Subjects
Equations
Kinetic theory
Laser stability
Laser theory
Linear approximation
Nonlinear systems
Shape control
Steady-state
Sufficient conditions
Vibration control
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ISSN0018-9286
DOI10.1109/TAC.1982.1102901

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Summary:Based on the algorithm of Hirschorn [1] for obtaining inverses, sufficient conditions for invertibility of observable multivariable nonlinear systems are derived. For observable and invertible systems, a static left-inverse system is constructed. For certain noninvertible systems, the sufficient condition yields a characterization of input space on which the input-output map is injective.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0018-9286
DOI:10.1109/TAC.1982.1102901