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Lipschitz properties of the attainable set of singularly perturbed linear systems |
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| Authors: | A. L. Dontchev and J. I. Slavov |
| Affiliation: | Institute of Mathematics, Bulgarian Academy of Sciences, 1113 Sofia, ul. Acad. G. Bonchev 8, Bulgaria |
| Abstract: | We consider a linear control system containing a small positive parameter η in a part of the derivatives. It is shown that for every ε (0,1) the map: η → attainable set, is Lipschitz continuous with exponent . |
| Keywords: | Linear control system Singular perturbation Attainable set Lipschitz continuity |
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