Stabilization of time-varying nonlinear systems with time delays using a trajectory based approach
We provide a framework to prove stability for nonlinear systems that may have delays and discontinuities. Instead of the usual Lyapunov or small gain methods, our trajectory based approach entails verifying certain inequalities along solutions of auxiliary systems. In some cases, we obtain input-to-state stability under uncertainty. Our work applies to time-varying systems with time-varying delay, ODE coupled with difference equations, networked systems, and interconnected and descriptor systems, and so may help overcome the challenges of applying the known methods in applications. © 2014 American Automatic Control Council.
Publication Source (Journal or Book title)
Proceedings of the American Control Conference
Mazenc, F., & Malisoff, M. (2014). Stabilization of time-varying nonlinear systems with time delays using a trajectory based approach. Proceedings of the American Control Conference, 4854-4858. https://doi.org/10.1109/ACC.2014.6858616