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ON THE CONTROL OF SINGULARLY PERTURBED NONLINEAR SYSTEMS
IFAC Proceedings Volumes, 1992Abstract Using the integral manifold concept, a recent systematic method to control e-perturbed nonlinear systems is here extended to a rather wide class of singularly perturbed MIMO systems. This class includes singularly perturbed systems exibiting an affine structure in the control after order reduction.
Barbot J. P. +3 more
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This paper discusses existence and nonexistence of C1 quasi-steady-states to singularly perturbed problems near a singular point. In contrast to the existence and uniqueness result well known for the same problem near a regular point, the answer depends on generic conditions involving both the differential and the transcendental equations of the system.
Patrick J. Rabier, Shiva Shankar
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