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» Computing Reachable States for Nonlinear Biological Models
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AUTOMATICA
2006
88views more  AUTOMATICA 2006»
13 years 7 months ago
Exact computation of amplification for a class of nonlinear systems arising from cellular signaling pathways
A commonly employed measure of the signal amplification properties of an input/output system is its induced L2 norm, sometimes also known as H gain. In general, however, it is ext...
Eduardo D. Sontag, Madalena Chaves
HYBRID
2004
Springer
14 years 24 days ago
Understanding the Bacterial Stringent Response Using Reachability Analysis of Hybrid Systems
Abstract. In this paper we model coupled genetic and metabolic networks as hybrid systems. The vector fields are multi - affine, i.e., have only product - type nonlinearities to a...
Calin Belta, Peter Finin, Luc C. G. J. M. Habets, ...
CONCUR
2006
Springer
13 years 11 months ago
Proving Liveness by Backwards Reachability
Abstract. We present a new method for proving liveness and termination properties for fair concurrent programs, which does not rely on finding a ranking function or on computing th...
Parosh Aziz Abdulla, Bengt Jonsson, Ahmed Rezine, ...
CIBCB
2009
IEEE
13 years 8 months ago
Steady-state analysis of genetic regulatory networks modeled by nonlinear ordinary differential equations
Although Ordinary Differential Equations (ODEs) have been used to model Genetic Regulatory Networks (GRNs) in many previous works, their steady-state behaviors are not well studied...
Haixin Wang, Lijun Qian, Edward R. Dougherty
AUTOMATICA
2011
13 years 2 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...