Subdifferential calculus without qualification assumptions.
Subdifferential characterization of quasiconvexity and convexity.
Subdifferential inclusions and quasi-static hemivariational inequalities for frictional viscoelastic contact problems
We survey recent results on the mathematical modeling of nonconvex and nonsmooth contact problems arising in mechanics and engineering. The approach to such problems is based on the notions of an operator subdifferential inclusion and a hemivariational inequality, and focuses on three aspects. First we report on results on the existence and uniqueness of solutions to subdifferential inclusions. Then we discuss two classes of quasi-static hemivariational ineqaulities, and finally, we present ideas...
Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings
The paper contains calculus rules for coderivatives of compositions, sums and intersections of set-valued mappings. The types of coderivatives considered correspond to Dini-Hadamard and limiting Dini-Hadamard subdifferentials in Gˆateaux differentiable spaces, Fréchet and limiting Fréchet subdifferentials in Asplund spaces and approximate subdifferentials in arbitrary Banach spaces. The key element of the unified approach to obtaining various calculus rules for various types of derivatives presented...
Subelliptic variational problems
Suboptimal boundary controls for elliptic equation in critically perforated domain
Suboptimal control of linear delay systems via Legendre series
Suboptimal fault tolerant control design with the use of discrete optimization
This paper presents a concept of designing fault tolerant control systems with the use of suboptimal methods. We assume that a given (nonlinear) dynamical process is described in a state space. The method consists in searching (at the off-line stage) for a trajectory of operational points of the system state space. The sought trajectory can be constrained by certain conditions, which can express faults or failures already detected. Within this approach, we are able to use the autonomous dynamics...
Suboptimality Of Stochastic Systems: Structural Uncertainties And Information Constraints
Subriemannian geodesics of Carnot groups of step 3
In Carnot groups of step ≤ 3, all subriemannian geodesics are proved to be normal. The proof is based on a reduction argument and the Goh condition for minimality of singular curves. The Goh condition is deduced from a reformulation and a calculus of the end-point mapping which boils down to the graded structures of Carnot groups.
Sub-riemannian sphere in Martinet flat case
Sub-Riemannian sphere in Martinet flat case
This article deals with the local sub-Riemannian geometry on ℜ3, (D,g) where D is the distribution ker ω, ω being the Martinet one-form : dz - ½y2dxand g is a Riemannian metric on D. We prove that we can take g as a sum of squares adx2 + cd2. Then we analyze the flat case where a = c = 1. We parametrize the set of geodesics using elliptic integrals. This allows to compute the exponential mapping, the wave front, the conjugate and cut loci and the sub-Riemannian sphere. A direct consequence...
Successioni convergenti di ipersuperfici di curvatura media assegnata
Suddivisioni ottimali di domini n-dimensionali
Sufficiency Conditions Under Which a Lagrangian is an Ordinary Divergence.
Sufficient condition for Pareto optimization in Banach spaces
Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity
Sufficient Conditions for a Pair of n-Planes to be Area-Minimizing.
Sufficient Conditions for Elliptic Problem of Optimal Control in Rn in Orlicz Sobolev Spaces
Sufficient conditions for elliptic problem of optimal control in in Orlicz-Sobolev space.