A modified algorithm for invertibility in nonlinear systems
- 1 April 1981
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 26 (2) , 595-598
- https://doi.org/10.1109/tac.1981.1102657
Abstract
The algorithm of Hirschorn [1] for the construction of inverses of nonlinear systems is modified, and new sufficient conditions for invertibility and inverse system for a larger class of systems are obtained. For the systems which do not satisfy the invertibility, conditions, a characterization of input space on which the input-output map is injective is derived.Keywords
This publication has 4 references indexed in Scilit:
- Invertibility of C∞multivariable input-output systemsIEEE Transactions on Automatic Control, 1980
- Invertibility of multivariable nonlinear control systemsIEEE Transactions on Automatic Control, 1979
- Invertibility of Nonlinear Control SystemsSIAM Journal on Control and Optimization, 1979
- Invertibility of Control Systems on Lie GroupsSIAM Journal on Control and Optimization, 1977