Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892910 | Chaos, Solitons & Fractals | 2012 | 13 Pages |
Abstract
Let us consider a smooth invariant surface S of a given ordinary differential equations system. In this work we develop an impulsive control method in order to assure that the trajectories of the controlled system converge toward the surface S. The method approach is based on a property of a certain class of invariant surfaces whose the dynamics associated to their transverse directions can be described by a non-autonomous linear system. This fact allows to define an impulsive system which drives the trajectories toward the surface S. Also, we set up a definition of local stability exponents which can be associated to such kind of invariant surface.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
José Marão, Xinzhi Liu, Annibal Figueiredo,