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» On parameterized Lyapunov and control Lyapunov functions for...
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CDC
2009
IEEE
139views Control Systems» more  CDC 2009»
14 years 16 days ago
Input-to-state dynamical stability of interconnected systems
Abstract— We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov for...
Sergey Dashkovskiy, Lars Naujok
CDC
2009
IEEE
137views Control Systems» more  CDC 2009»
14 years 16 days ago
On Lyapunov sampling for event-driven controllers
— This paper investigates an event condition for event-driven controllers based on Lyapunov functions. Considering that constant values of a Lyapunov function define contour cur...
Manel Velasco, Pau Martí, Enrico Bini
ICRA
2006
IEEE
95views Robotics» more  ICRA 2006»
14 years 1 months ago
Stability Analysis and Control Law Design for Acrobots
— This paper presents a novel control strategy based on a non-smooth Lyapunov function to guarantee the stability of the system in the whole motion space. Three control laws that...
Xu-Zhi Lai, Jin-Hua She, Simon X. Yang, Min Wu
CDC
2009
IEEE
144views Control Systems» more  CDC 2009»
13 years 11 months ago
Combination of Lyapunov functions and density functions for stability of rotational motion
— Lyapunov methods and density functions provide dual characterizations of the solutions of a nonlinear dynamic system. This work exploits the idea of combining both techniques, ...
José Fernandes Vasconcelos, Anders Rantzer,...
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...