Invertibility of Observable Multivariable Nonlinear Systems

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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.


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


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


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