Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140432 | Mathematics and Computers in Simulation | 2011 | 15 Pages |
Abstract
The present paper introduces a new method to generate several independent periodic attractors, based on a switching piecewise-constant controller. We demonstrate here that the state space equidistant repartition of these attractors is on an arbitrarily precise zone of a paraboloid or plane. We determine the state space domains where the attractors are generated from different initial conditions. A mathematical formula giving their maximal number in function of the controller piecewise-constant values is then deduced.
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Control and Systems Engineering
Authors
C. Morel, R. Vlad, J.-Y. Morel, D. Petreus,