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IMA Journal of Mathematical Control and Information 1984 1(1):67-81; doi:10.1093/imamci/1.1.67
© 1984 by Institute of Mathematics and its Applications
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On Nonlinear Perturbations of Nonlinear Dynamical Systems, and Applications to Control

S. P. BANKS

Department of Control Engineering, University of Sheffield Mappin Street, Sheffield S1 3JD

The nonlinear variation-of-constants formula is generalized to infinite-dimensional systems and applied to the stability problem and used to obtain bounds on the states of a nonlinear control system when the controls are bounded. The theory is illustrated by a simple model from nuclear reactor dynamics.


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