11 citations · 22 across the 2 of their papers we have counts for
6 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…
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…