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SIAMAM
2008
72views more  SIAMAM 2008»
13 years 10 months ago
Global Asymptotic Stability for a Class of Nonlinear Chemical Equations
We consider a class of nonlinear differential equations that arises in the study of chemical reaction systems known to be locally asymptotically stable and prove that they are in f...
David F. Anderson
CDC
2009
IEEE
138views Control Systems» more  CDC 2009»
14 years 3 months ago
Synthesis of a global asymptotic stabilizing feedback law for a system satisfying two different sector conditions
— Global asymptotic stabilization for a class of nonlinear systems is addressed. The dynamics of these systems are composed of a linear part to which is added some nonlinearities...
Vincent Andrieu, Christophe Prieur, Sophie Tarbour...
CDC
2008
IEEE
152views Control Systems» more  CDC 2008»
14 years 5 months ago
Non-uniform small-gain theorems for systems with unstable invariant sets
— We consider the problem of small-gain analysis of asymptotic behavior in interconnected nonlinear dynamic systems. Mathematical models of these systems are allowed to be uncert...
Ivan Tyukin, Erik Steur, Henk Nijmeijer, Cees van ...
MCS
2008
Springer
13 years 11 months ago
On the stability analysis of nonlinear systems using polynomial Lyapunov functions
In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist posi...
Hajer Bouzaouache, Naceur Benhadj Braiek
SIAMAM
2008
170views more  SIAMAM 2008»
13 years 10 months ago
Absolute Stability and Complete Synchronization in a Class of Neural Fields Models
Neural fields are an interesting option for modelling macroscopic parts of the cortex involving several populations of neurons, like cortical areas. Two classes of neural field equ...
Olivier D. Faugeras, François Grimbert, Jea...