Author(s):
Gama, Ricardo 
; Smirnov, Georgi
Date: 2012
Persistent ID: http://hdl.handle.net/1822/21092
Origin: RepositóriUM - Universidade do Minho
Document details
Weak exponential stability via averaging and applications
Description
The averaging method is one of the most powerful methods used to analyze differential equations appearing in the study of nonlinear problems. The averaging method has also been successfully applied in control problems, simplifying the equations and study of the systems involved. In this work, applying the averaging method, we study exponential stability of time varying linear control systems. The obtained results are applied to prove the existence of almost closed relative trajectories for formation flying with single-input control.
The averaging method is one of the most powerful methods used to analyze differential equations appearing in the study of nonlinear problems. The averaging method has also been successfully applied in control problems, simplifying the equations and study of the systems involved. In this work, applying the averaging method, we study exponential stability of time varying linear control systems. The obtained results are applied to prove the existence of almost closed relative trajectories for formation flying with single-input control.
Document Type
Article
Language English
Language English
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