11 citations · 15 across the 17 of their papers we have counts for
8 papers · 1 filter
Hilbert's 16th problem. When variational principles meet differential systems
Jaume Llibre, Pablo Pedregal
Thanks to the interest of many people, a mistake has been found in our way of counting limit cycles. We are working on a new version.
Constrained optimization through fixed point techniques
Pablo Pedregal
We introduce an alternative approach for constrained mathematical programming problems. It rests on two main aspects: an efficient way to compute optimal solutions for unconstraine…
Some evidence in favor of Morrey's conjecture
Pablo Pedregal
We provide further evidence to favor the fact that rank-one convexity does not imply quasiconvexity for two-component maps in dimension two. We provide an explicit family of maps p…
Weak limits in non-linear conductivity
Pablo Pedregal
The problem of characterizing weak limits of sequences of solutions for a non-linear diffusion equation of -laplacian type is addressed. It is formulated in terms of certain mom…
Existence results for optimal control problems with some special non-linear dependence on state and control
Pablo Pedregal, Jorge Tiago
We present a general approach to prove existence of solutions for optimal control problems not based on typical convexity conditions which quite often are very hard, if not impossi…
A different look at controllability
Pablo Pedregal
We explore further controllability problems through a standard least square approach. By setting up a suitable error functional , and putting for the infimum, we inter…
Optimal feedback control, linear first-order PDE systems, and obstacle problems
Pablo Pedregal
We introduce an alternative approach for the analysis and numerical approximation of the optimal feedback control mapping. It consists in looking at a typical optimal control probl…
A dynamical-system approach to mathematical programming
Pablo Pedregal
We explore how to build a vector field from the various functions involved in a given mathematical program, and show that locally-stable equilibria of the underlying dynamical syst…