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JSCIC
2008
107views more  JSCIC 2008»
15 years 6 months ago
A Hierarchy of Approximations of the Master Equation Scaled by a Size Parameter
Solutions of the master equation are approximated using a hierarchy of models based on the solution of ordinary differential equations: the macroscopic equations, the linear noise...
Lars Ferm, Per Lötstedt, Andreas Hellander
SIAMCO
2000
52views more  SIAMCO 2000»
15 years 5 months ago
Optimality of Energy Estimates for the Wave Equation with Nonlinear Boundary Velocity Feedbacks
We consider the wave equation damped by a nonlinear boundary velocity feedback q(ut). First we consider the case where q has a linear growth at infinity. We prove that the usual de...
Judith Vancostenoble, Patrick Martinez
HYBRID
2003
Springer
15 years 11 months ago
Reachability Analysis of Nonlinear Systems Using Conservative Approximation
Abstract. In this paper we present an approach to approximate reachability computation for nonlinear continuous systems. Rather than studying a complex nonlinear system ˙x = g(x),...
Eugene Asarin, Thao Dang, Antoine Girard
HYBRID
2005
Springer
15 years 11 months ago
The Discrete Time Behavior of Lazy Linear Hybrid Automata
We study the class of lazy linear hybrid automata with finite precision. The key features of this class are: – The observation of the continuous state and the rate changes assoc...
Manindra Agrawal, P. S. Thiagarajan
CDC
2010
IEEE
130views Control Systems» more  CDC 2010»
15 years 1 months ago
A fast well-conditioned interior point method for predictive control
Interior point methods (IPMs) have proven to be an efficient way of solving quadratic programming problems in predictive control. A linear system of equations needs to be solved in...
Amir Shahzad, Eric C. Kerrigan, George A. Constant...