Title :
On negative definiteness of derivatives of Lyapunov functions
Author :
Nakamura, Hisakazu
Author_Institution :
Grad. Sch. of Inf. Sci., Nara Inst. of Sci. & Technol., Nara, Japan
Abstract :
Lyapunov functions play important roles in nonlinear control theory. There exist two classes of strict Lyapunov functions; a Lyapunov function and a Lyapunov pair. However, the difference of both functions are not analyzed precisely. The paper analyzes both functions and gives a generalized converse Lyapunov theorem for differential inclusions.
Keywords :
Lyapunov methods; nonlinear control systems; Lyapunov functions; Lyapunov theorem; differential inclusions; negative definiteness; nonlinear control theory; Asymptotic stability; Control systems; Control theory; Differential equations; Lyapunov method; Nonlinear systems; Stability analysis; Lyapunov function; nonlinear system; stability analysis;
Conference_Titel :
SICE Annual Conference 2010, Proceedings of
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7642-8
