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math.OC2008

The optimal assignment problem for a countable state space

Marianne Akian, Stephane Gaubert, Vassili Kolokoltsov

Given a square matrix B=(b_{ij}) with real entries, the optimal assignment problem is to find a bijection s between the rows and the columns maximising the sum of the b_{is(i)}. In…

math.OC2008★ 107 cited

Stability of quantized time-delay nonlinear systems: A Lyapunov-Krasowskii-functional approach

C. De Persis, F. Mazenc

Lyapunov-Krasowskii functionals are used to design quantized control laws for nonlinear continuous-time systems in the presence of constant delays in the input. The quantized contr…

math.OC2008

On the stabilization of persistently excited linear systems

Yacine Chitour, Mario Sigalotti

We consider control systems of the type , where , is a controllable pair and is an unknown time-varying signal with values in sati…

math.OC2008

The Back and Forth Nudging algorithm for data assimilation problems: theoretical results on transport equations

Didier Auroux, Maëlle Nodet

In this paper, we consider the back and forth nudging algorithm that has been introduced for data assimilation purposes. It consists of iteratively and alternately solving forward…

math.OC2008★ 1 cited

Global stability and optimisation of a general impulsive biological control model

Ludovic Mailleret, Frédéric Grognard

An impulsive model of augmentative biological control consisting of a general continuous predator-prey model in ordinary differential equations augmented by a discrete part describ…

math.OC2008★ 10 cited

Computing the smallest fixed point of order-preserving nonexpansive mappings arising in positive stochastic games and static analysis of programs

Assalé Adjé, Stéphane Gaubert, Eric Goubault

The problem of computing the smallest fixed point of an order-preserving map arises in the study of zero-sum positive stochastic games. It also arises in static analysis of program…