Title :
Identification of the domain of attraction
Author :
Vladislav S. Ermolin;Tatyana V. Vlasova
Author_Institution :
St. Petersburg State University, 7/9 Universitetskaya nab., 199034 Russia
Abstract :
In this paper we consider a time-invariant system of differential equations with an equilibrium. We study the problem of a class of Lyapunov functions allowing to describe an estimation of the domain of attraction (DOA). This work is a development of the results obtained by V. I. Zubov. The solution of the problem is based on the application of the second method of Lyapunov. An example illustrates the theoretical results.
Keywords :
"Direction-of-arrival estimation","Differential equations","Lyapunov methods","Asymptotic stability","Estimation","Trajectory","Distance measurement"
Conference_Titel :
"Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference
DOI :
10.1109/SCP.2015.7342038
