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SIAMCO
2000
75views more  SIAMCO 2000»
13 years 7 months ago
Feedback Stabilization and Lyapunov Functions
Given a locally defined, nondifferentiable but Lipschitz Lyapunov function, we construct a (discontinuous) feedback law which stabilizes the underlying system to any given toleran...
F. H. Clarke, Yu. S. Ledyaev, L. Rifford, R. J. St...
SIAMCO
2010
93views more  SIAMCO 2010»
13 years 5 months ago
Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
We consider a network consisting of n interconnected nonlinear subsystems. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as independent inpu...
Sergey Dashkovskiy, Björn Sebastian Rüff...
AUTOMATICA
2008
96views more  AUTOMATICA 2008»
13 years 7 months ago
Nonlinear gliding stability and control for vehicles with hydrodynamic forcing
This paper presents Lyapunov functions for proving stability of steady gliding motions for vehicles with hydrodynamic or aerodynamic forces and moments. Because of lifting forces ...
Pradeep Bhatta, Naomi Ehrich Leonard
CHINAF
2008
82views more  CHINAF 2008»
13 years 7 months ago
Input-to-state stability of switched nonlinear systems
: The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By the method of multiple Lyapunov function, a sufficient ISS condition is gi...
Wei Feng, Jifeng Zhang
CDC
2009
IEEE
124views Control Systems» more  CDC 2009»
14 years 2 days ago
Lyapunov stability analysis of higher-order 2-D systems
— We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of ...
Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba