Abstract
Lyapunov methods and density functions provide dual characterizations of the solutions of a nonlinear dynamic system. This work exploits the idea of combining both techniques, to yield stability results that are valid for almost all the solutions of the system. Based on the combination of Lyapunov
and density functions, analysis methods are proposed for the derivation of almost input-to-state stability, and of almost global stability in nonlinear systems. The techniques are illustrated for an inertial attitude observer, where angular velocity readings are corrupted by non-idealities.
and density functions, analysis methods are proposed for the derivation of almost input-to-state stability, and of almost global stability in nonlinear systems. The techniques are illustrated for an inertial attitude observer, where angular velocity readings are corrupted by non-idealities.
| Original language | English |
|---|---|
| Publication status | Published - 2009 |
| Event | Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference - Shanghai, China Duration: 2009 Dec 16 → … |
Conference
| Conference | Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference |
|---|---|
| Country/Territory | China |
| City | Shanghai |
| Period | 2009/12/16 → … |
Subject classification (UKÄ)
- Control Engineering