Title
Control-Lyapunov functions for systems satisfying the conditions of the Jurdjevic-Quinn theorem
Document Type
Conference Proceeding
Publication Date
12-1-2005
Abstract
For a broad class of nonlinear systems satisfying the Jurdjevic-Quinn conditions, we construct a family of smooth control-Lyapunov functions whose derivatives along the trajectories of the systems can be made negative definite by smooth control laws that are arbitrarily small in norm. We also design state feedbacks of arbitrarily small norm that render our systems integral-input-to- state stable to actuator errors. © 2005 IEEE.
Publication Source (Journal or Book title)
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
First Page
4724
Last Page
4729
Recommended Citation
Mazenc, F., & Malisoff, M. (2005). Control-Lyapunov functions for systems satisfying the conditions of the Jurdjevic-Quinn theorem. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, 2005, 4724-4729. https://doi.org/10.1109/CDC.2005.1582908