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MCSS
2007
Springer
13 years 4 months ago
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
Frédéric Mazenc, Dragan Nesic
CDC
2009
IEEE
147views Control Systems» more  CDC 2009»
13 years 9 months ago
On a small gain theorem for networks of iISS systems
— This paper considers networks consisting of integral input-to-state stable (iISS) subsystems and addresses the problem of verifying iISS property of a given network. First, we ...
Hiroshi Ito, Sergey Dashkovskiy, Fabian Wirth
SCL
2008
130views more  SCL 2008»
13 years 4 months ago
Exponential stability of impulsive systems with application to uncertain sampled-data systems
We establish exponential stability of nonlinear time-varying impulsive systems by employing Lyapunov functions with discontinuity at the impulse times. Our stability conditions ha...
Payam Naghshtabrizi, João P. Hespanha, Andr...
AUTOMATICA
2007
142views more  AUTOMATICA 2007»
13 years 4 months ago
Lyapunov-based switching control of nonlinear systems using high-gain observers
Abstract— We consider dynamic output feedback practical stabilization of uniformly observable nonlinear systems, based on high-gain observers with saturation. We assume that unce...
Leonid B. Freidovich, Hassan K. Khalil