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math.OC2014
Barrier Functionals for Output Functional Estimation of PDEs
Mohamadreza Ahmadi, Giorgio Valmorbida, Antonis Papachristodoulou
We propose a method for computing bounds on output functionals of a class of time-dependent PDEs. To this end, we introduce barrier functionals for PDE systems. By defining appropr…
math.OC2014
Semi-definite programming and functional inequalities for Distributed Parameter Systems
G. Valmorbida, M. Ahmadi, A. Papachristodoulou
We study one-dimensional integral inequalities, with quadratic integrands, on bounded domains. Conditions for these inequalities to hold are formulated in terms of function matrix…