A perennial problem in hybrid backtrack CSP search is how much local consistency processing should be done to achieve the best efficiency. This can be divided into two separate questions: (1) how much work should be done before the actual search begins, i.e. during preprocessing?, and (2) how much of the same processing should be interleaved with search? At present there are two leading approac...

We revisit recent results about optimal periodic control for scalar dynamics with input integral constraint, under lack of convexity and concavity. show that in this more general framework, the solutions are bang-singular-bang generalize bang-bang convex case purely singular concave one. introduce a non-local slope condition to characterize arcs. The illustrated on class bioprocesses models.

Local primordial non-Gaussianity (PNG) is a promising observable of the underlying physics inflation, characterised by $f_{\rm NL}^{\rm loc}$. We present methodology to measure loc}$ from Dark Energy Survey (DES) data using 2-point angular correlation function (ACF) with scale-dependent bias. One focuses work integral constraint. This condition appears when estimating mean number density galaxi...

In this paper spectral Galerkin approximation of optimal control problem governed by fractional advection diffusion reaction equation with integral state constraint is investigated. First order condition the discussed. Weighted Jacobi polynomials are used to approximate and adjoint state. A priori error estimates for control, state, Lagrangian multiplier derived. Numerical experiment carried ou...

In various problems in theoretical physics one has to evaluate a path integral with a constraint which is of a topological nature. This arises, for example, in the theory of polymers or in the analysis of the Aharonov-Bohm effect (see ref. [ 1 ] and the literature quoted therein). In order to elucidate some of these problems Inomata and Singh [2] considered path integrals over trajectories in a...

A satis ability problem can be regarded as a nondisjoint union of set covering problems We show that if the resolution method of theorem proving is applied to the satis ability problem its constraint set de nes an integral polytope if and only if the constraint sets of the set covering problems do In this sense resolution reduces the integrality question for the satis ability problem to that fo...

This paper presents a simple solution to the robust H∞ unbiased functional reduced order filtering problem in the case of uncertain systems described by Integral Quadratic Constraint (IQC). The existence condition of the unbiased filter is expressed through a rank relation. Then the filter is designed via Linear Matrix Inequalities coupled with an equality constraint. The results obtained in th...