Results 71 to 80 of about 1,032 (207)
Optimal Quantum Control in Fermionic Stochastic Systems With Bounded Delay
This figure illustrates the workflow of a quantum control system driven by fermionic Brownian motion, integrating control inputs, delay conditions and state updates. It outlines the iterative process of constructing a cost functional system, applying optimality conditions, and refining the quantum state through control functions.
Divyabala Kanagaraj, Durga Nagarajan
wiley +1 more source
Inequalities and counterexamples for functional intrinsic volumes and beyond
Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
wiley +1 more source
Subdifferentials of convex-along-rays functions
We examine the existence of global subdifferentials for convex-along-rays (CAR) functions defined on En with respect to sets of min-type elementary functions.
Sharikov, Evgenii, Rubinov, Alex
core +1 more source
Saddle Points of Partial Augmented Lagrangian Functions
In this paper, we study a class of optimization problems with separable constraint structures, characterized by a combination of convex and nonconvex constraints.
Longfei Huang +3 more
doaj +1 more source
This paper investigates the application of β‐open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β‐open sets are a class of generalized open sets introduced by Njåstad (1965), which coincides with the class of semiopen sets by Levine (1963).
Boushra Abbas, Simeon Reich
wiley +1 more source
Subdifferentiability of Real Functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
On generalized conjugations and subdifferentials in abstract convex analysis
We generalize the notion of a duality Delta : U -> V, where U and V are two complete lattices, to arbitrary partially ordered sets U and V. Then we consider abstract subdifferentials corresponding to such type of dualities and formulate conditions for ...
Sharikov, Evgeny
core +1 more source
Optimal control of doubly nonlinear evolution equations governed by subdifferentials without uniqueness of solutions [PDF]
In this paper we study an optimal control problem for a doubly nonlinear evolution equation governed by time-dependent subdifferentials. We prove the existence of solutions to our equation.
Farshbaf-Shaker, M., Hassan +5 more
core +1 more source
Calculus of second-order subdifferentials in infinite dimensions [PDF]
We study two types of second-order subdifferentials of extended-real-valued functions on Banach spaces that are important for applications in variational analysis, especially to sensitivity issues and second-order optimality conditions.
Morduhovic, B.
core
A THEOREM ON THE SUBDIFFERENTIAL CALCULATION
Let X, Y be Banach spaces, \(a\in Y\), \(\Lambda\in {\mathcal L}(X,Y)\), Im \(\Lambda\) closed in Y. Let F: \(Y\to \bar R\) be a proper convex function. If F is continuous in at least one point of Im \(\Lambda\) \(+a\), and \(G(x)=F(\Lambda x+a)\), then we prove that \(\partial G(x)=\Lambda^*F(\Lambda x+a)\), where \(\Lambda^*\) is the conjugate of ...
openaire +1 more source

