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On the Non-Validity of the Order Reduction Method for Singularly Perturbed Control Systems

โœ Scribed by Arie Leizarowitz

Publisher
Springer
Year
2007
Tongue
English
Weight
207 KB
Volume
55
Category
Article
ISSN
0095-4616

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๐Ÿ“œ SIMILAR VOLUMES

On the construction of asymptotically op
On the construction of asymptotically optimal controls for singularly perturbed systems
โœ V Gaitsgory; G Grammel ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 459 KB

We construct asymptotically optimal controls for singularly perturbed nonlinear systems, where both, the slow and the fast motions are controlled. For this purpose we give necessary optimality conditions for an averaged system for the slow motion.

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On analysis of discrete singularly perturbed non-linear systems: Application to the study of stability properties
โœ R. Bouyekhf; A. El Moudni ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 635 KB

Recently we have introduced a model of singular perturbation for discrete-time nonlinear systems. This paper is aimed at validating the proposed model. In fact, a discrete version of the well-known Tikhonov 3' theorem on singular perturbation of continuous-time systems is established. The second aim