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CDC
2008
IEEE
167views Control Systems» more  CDC 2008»
13 years 7 months ago
Convex formulations of aggregate network air traffic flow optimization problems
The problem of regulating air traffic in the en route airspace of the National Airspace System is studied using an Eulerian network model to describe air traffic flow. The evolutio...
Daniel B. Work, Alexandre M. Bayen
CDC
2009
IEEE
138views Control Systems» more  CDC 2009»
13 years 10 months ago
Bilevel programming for analysis of low-complexity control of linear systems with constraints
— In this paper we use bilevel programming to find the maximum difference between a reference controller and a low-complexity controller in terms of the infinitynorm difference...
Henrik Manum, Colin Neil Jones, Johan Löfberg...
CDC
2008
IEEE
142views Control Systems» more  CDC 2008»
13 years 7 months ago
Stability analysis of linear hyperbolic systems with switching parameters and boundary conditions
Abstract— We study asymptotic stability of an infinite dimensional system that switches between a finite set of modes. Each mode is governed by a system of one-dimensional, lin...
Saurabh Amin, Falk M. Hante, Alexandre M. Bayen
FOCM
2011
90views more  FOCM 2011»
12 years 9 months ago
Hamiltonian Interpolation of Splitting Approximations for Nonlinear PDEs
We consider a wide class of semi linear Hamiltonian partial differential equations and their approximation by time splitting methods. We assume that the nonlinearity is polynomia...
Erwan Faou, Benoît Grebert
RC
2002
96views more  RC 2002»
13 years 5 months ago
Verification of Invertibility of Complicated Functions over Large Domains
A new method to decide the invertibility of a given high-dimensional function over a domain is presented. The problem arises in the field of verified solution of differential algeb...
Jens Hoefkens, Martin Berz