Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
752777 | Systems & Control Letters | 2009 | 6 Pages |
Abstract
We derive a sufficient condition that a flow captures the dynamics on an invariant submanifold. This leads to a refinement of the LaSalle invariance principle. As a consequence, we generalize a well-known global asymptotic stability result of nonlinear cascade systems to show global convergence to a compact invariant set. This includes the case where a globally asymptotically stable system is coupled to a Morse–Bott flow.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
U. Helmke,