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AUTOMATICA
2011
12 years 11 months ago
Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions
— Quadratic systems play an important role in the modeling of a wide class of nonlinear processes (electrical, robotic, biological, etc.). For such systems it is of mandatory imp...
Francesco Amato, Francesco Calabrese, Carlo Cosent...
AUTOMATICA
2005
94views more  AUTOMATICA 2005»
13 years 4 months ago
Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given ...
Michael Malisoff, Frédéric Mazenc
CDC
2009
IEEE
124views Control Systems» more  CDC 2009»
13 years 9 months 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
AUTOMATICA
2008
96views more  AUTOMATICA 2008»
13 years 4 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
AUTOMATICA
2008
93views more  AUTOMATICA 2008»
13 years 4 months ago
Further results on input-to-state stability for nonlinear systems with delayed feedbacks
We consider a class of nonlinear control systems for which stabilizing feedbacks and corresponding Lyapunov functions for the closed loop systems are available. In the presence of...
Frédéric Mazenc, Michael Malisoff, Z...