Open Access
November 2013 Dynamic equivalence of control systems via infinite prolongation
Matthew W. Stackpole
Asian J. Math. 17(4): 653-688 (November 2013).


In this paper, we put the issue of dynamic equivalence of control systems in the context of pullbacks of coframings on infinite jet bundles over the state manifolds. While much attention has been given to differentially flat systems, i.e., systems dynamically equivalent to linear control systems, the advantage of this approach is that it allowed us to consider control affine systems as well. Through this context we are able to classify all control affine systems of three states and two controls under dynamic equivalence of the type $(x,u)\mapsto y(x,u)$.


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Matthew W. Stackpole. "Dynamic equivalence of control systems via infinite prolongation." Asian J. Math. 17 (4) 653 - 688, November 2013.


Published: November 2013
First available in Project Euclid: 22 August 2014

zbMATH: 1290.34065
MathSciNet: MR3152259

Primary: 34HXX , 53BXX , 70QXX

Keywords: control systems , Dynamic equivalence

Rights: Copyright © 2013 International Press of Boston

Vol.17 • No. 4 • November 2013
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