Title :
Stability analysis on manifolds via continuous positive definite proper functions
Author :
Nakamura, Nami ; Nakamura, Hisakazu
Author_Institution :
Dept. of Electr. Eng., Tokyo Univ. of Sci., Noda, Japan
Abstract :
In this paper, we define Lagrange stability and input-to-state stability on manifolds. Furthermore, we present necessary and sufficient conditions for stability by using continuous positive definite proper functions.
Keywords :
continuous systems; manifolds; stability; Lagrange stability; continuous positive definite proper functions; input-to-state stability; manifolds; Asymptotic stability; Automation; Level set; Lyapunov methods; Manifolds; Measurement; Stability analysis;
Conference_Titel :
Control & Automation (MED), 2012 20th Mediterranean Conference on
Conference_Location :
Barcelona
Print_ISBN :
978-1-4673-2530-1
Electronic_ISBN :
978-1-4673-2529-5
DOI :
10.1109/MED.2012.6265671
