Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: nonconvexity

Sortuj według:

Ogranicz wyniki do:

Captivity of mean-field particle systems and the related exit problems

Tugaut J.

Probability and Mathematical Statistics

2015

Vol. 35, Fasc. 1

143--159

A mean-field system is a weakly interacting system of N particles in Rd confined by an external potential. The aim of this work is to establish a simple result about the exit problem of mean-field systems from some domains when the number of particles goes to infinity. More precisely, we prove the existence of some subsets of RdN such that the probability of leaving these sets before any T > 0 is arbitrarily small by taking N large enough. On the one hand, we show that the number of steady states in the small-noise limit is arbitrarily large with a sufficiently large number of particles. On the other hand, using the long-time convergence of the hydrodynamical limit, we identify the steady states as N goes to infinity with the invariant probabilities of the McKean-Vlasov diffusion so that some steady states in the small-noise limit are not steady states in the large N limit.

Optimal control for a class of mechanical thermoviscoelastic frictional contact problems

Denkowski Z., Migórski S., Ochal A.

Control and Cybernetics

2007

Vol. 36, no 3

611-632

We study optimal control of systems governed by a coupled system of hemivariational inequalities, modeling a dynamic thermoviscoelastic problem, which describes frictional contact between a body and a foundation. We employ the Kelvin-Voigt vis-coelastic law, include the thermal effects and consider the general nonmonotone and multivalued subdifferential boundary conditions. We consider optimal control problem for boundary and distributed parameter control systems, time optimal control problem and maximum stay control problem. We deliver conditions that guarantee the existence of optimal solutions.

Dealing with Non-Convexity in Geographic Routing in Smart Dust Networks

Kłopotek M. A., Ruciński D., Tchórzewski J.

Studia Informatica : systems and information technology

2006

Vol. 1(7)

57--64

The paper proposes a new approach to greedy geographic routing for sensor networks with non-convex covering structure.