Title

Stabilization and robustness analysis for a chain of exponential integrators using strict Lyapunov functions

Document Type

Article

Publication Date

6-1-2016

Abstract

We provide a new method for building strict Lyapunov functions for two dimensional chains of exponential integrators, using nested exponential functions. One challenge is that the right sides of the systems saturate, so they are not completely controllable. The strictness of the Lyapunov functions is key to proving input-to-state stability (or ISS) properties with respect to additive uncertainty on the controls. We show how a large class of tracking problems for nonlinear systems with positivity constraints on the states can be solved using our theory.

Publication Source (Journal or Book title)

Automatica

First Page

184

Last Page

193

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