22 citations · 77 across the 7 of their papers we have counts for
8 papers
New Direct Numerical Methods for Some Multidimensional Problems of the Calculus of Variations
M. V. Dolgopolik
In this paper we develop a new approach to the design of direct numerical methods for multidimensional problems of the calculus of variations. The approach is based on a transforma…
A unifying theory of exactness of linear penalty functions II: parametric penalty functions
M. V. Dolgopolik
In this article we develop a general theory of exact parametric penalty functions for constrained optimization problems. The main advantage of the method of parametric penalty func…
The method of codifferential descent for convex and global piecewise affine optimization
M. V. Dolgopolik
The class of nonsmooth codifferentiable functions was introduced by professor V.F.~Demyanov in the late 1980s. He also proposed a method for minimizing these functions called the m…
Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle
M. V. Dolgopolik
In this article, we present new general results on existence of augmented Lagrange multipliers. We define a penalty function associated with an augmented Lagrangian, and prove that…
A Unifying Theory of Exactness of Linear Penalty Functions
M. V. Dolgopolik
In this article we develop a theory of exact linear penalty functions that generalizes and unifies most of the results on exact penalization existing in the literature. We discuss…
Smooth exact penalty functions II: a reduction to standard exact penalty functions
M. V. Dolgopolik
A new class of smooth exact penalty functions was recently introduced by Huyer and Neumaier. In this paper, we prove that the new smooth penalty function for a constrained optimiza…
Smooth Exact Penalty Functions: A General Approach
M. V. Dolgopolik
In this article we present a new perspective on the smooth exact penalty function proposed by Huyer and Neumaier that is becoming more and more popular tool for solving constrained…
Observer-based boundary control of the sine-Gordon model energy
Maksim Dolgopolik, Alexander L. Fradkov, Boris Andrievsky
In this paper the output feedback energy control problem for the sine-Gordon model is studied. An observer for the sine-Gordon equation and a speed-gradient boundary control law fo…