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SCL
2008
130views more  SCL 2008»
13 years 10 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...
RECOMB
2009
Springer
14 years 11 months ago
Parameter Synthesis in Nonlinear Dynamical Systems: Application to Systems Biology
The dynamics of biological processes are often modeled as systems of nonlinear ordinary differential equations (ODE). An important feature of nonlinear ODEs is that seemingly minor...
Alexandre Donzé, Gilles Clermont, Axel Lega...
ISSAC
2005
Springer
70views Mathematics» more  ISSAC 2005»
14 years 3 months ago
Approximation of dynamical systems using s-systems theory: application to biological systems
In this article we propose a new symbolic-numeric algorithm to find positive equilibria of a n-dimensional dynamical system. This algorithm uses a symbolic manipulation of ODE in...
Laurent Tournier