Title :
Some remarks on density functions for dual Lyapunov methods
Author_Institution :
Dipt. di Sistemi e Inf., Firenze Univ., Italy
Abstract :
New results on the structure of density functions for almost global stability analysis of nonlinear systems are discussed. In particular, it is shown how the smoothness constraint poses, under certain technical assumptions, a serious challenge in the construction of density functions which are almost everywhere expanding along the flow.
Keywords :
Lyapunov methods; asymptotic stability; nonlinear control systems; density functions; dual Lyapunov methods; global stability analysis; nonlinear systems; Density functional theory; Equations; Linear systems; Nonlinear systems; Prototypes; Shape; Stability analysis; State-space methods; Trajectory;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272440
