Invertibility of Observable Multivariable Nonlinear Systems

Document Type

Article

Publication Date

4-1982

Publication Title

IEEE Transactions on Automatic Control

Volume

AC-27

Issue

2

First page number:

487

Last page number:

489

Abstract

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.

Keywords

Equations; Kinetic theory; Laser stability; Laser theory; Linear approximation; Nonlinear systems; Shape control; Steady-state; Sufficient conditions; Vibration control

Disciplines

Controls and Control Theory | Electrical and Computer Engineering | Electrical and Electronics | Electronic Devices and Semiconductor Manufacturing | Power and Energy | Signal Processing | Systems and Communications | VLSI and Circuits, Embedded and Hardware Systems

Language

English

Permissions

Use Find in Your Library, contact the author, or use interlibrary loan to garner a copy of the article. Publisher copyright policy allows author to archive post-print (author’s final manuscript). When post-print is available or publisher policy changes, the article will be deposited

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