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Mathematics

D-Index
36
Citations
7266
World Ranking
2599
National Ranking
1071

Overview

Asen L. Dontchev is affiliated with the University of Michigan-Ann Arbor in the United States. Their research spans multiple fields including Mathematics, Computer Science, and Engineering, focusing extensively on areas such as Optimization and Variational Analysis as well as Advanced Control Systems Optimization.

Their academic contributions include papers published in peer-reviewed journals. Notable recent publications are:

  • Approximating optimal finite horizon feedback by model predictive control, 2020, Systems & Control Letters
  • On Existence of Solutions of Parametrized Generalized Equations, 2020, Set-Valued and Variational Analysis

Asen L. Dontchev's work frequently explores topics like Functional Equations Stability Results, Numerical Methods in Inverse Problems, and Fixed Point Theorems Analysis. Their research also touches on specialized subjects such as Eicosanoids and Hypertension Pharmacology.

Their research has appeared predominantly in publication venues like Systems & Control Letters and Set-Valued and Variational Analysis.

Collaboration is a component of their scholarly activities, with frequent co-authors including Ilya Kolmanovsky, Mikhail Krastanov, Vladimir M. Veliov, and Phan Tu Vuong.

Dontchev has authored books published by Springer Nature, including "Lectures on Variational Analysis" (2021), which has been cited in related academic works.

Their main subfields encompass Computational Theory and Mathematics, Control and Systems Engineering, Geometry and Topology, Numerical Analysis, and Applied Mathematics.

Best Publications

  • Implicit Functions and Solution Mappings

    Asen L. Dontchev;R. Tyrrell Rockafellar

  • Well-Posed Optimization Problems

    Asen L. Dontchev;Tullio Zolezzi

  • Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets

    A. L. Dontchev;R. T. Rockafellar

  • Implicit Functions and Solution Mappings: A View from Variational Analysis

    A. L. Dontchev;R. Tyrrell Rockafellar

  • Difference methods for differential inclusions: a survey

    Asen Dontchev;Frank Lempio

  • An inverse mapping theorem for set-valued maps

    A. L. Dontchev;W. W. Hager

  • The radius of metric regularity

    A. L. Dontchev;A. S. Lewis;R. T. Rockafellar

  • Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems

    A. L. Dontchev

  • Regularity and Conditioning of Solution Mappings in Variational Analysis

    A. L. Dontchev;R. T. Rockafellar

  • Second-Order Runge--Kutta Approximations in Control Constrained Optimal Control

    A. L. Dontchev;William W. Hager;Vladimir M. Veliov

  • The Euler approximation in state constrained optimal control

    A. L. Dontchev;William W. Hager

  • Lipschitzian stability in nonlinear control and optimization

    Asen L. Dontchev;William W. Hager

  • Optimality, stability, and convergence in nonlinear control

    A. L. Dontchev;W. W. Hager;A. B. Poore;Bing Yang

  • Error estimates for discretized differential inclusions

    A. L. Dontchev;E. M. Farkhi

  • Local convergence of the Newton method for generalized equations

    A. L. Dontchev

  • Implicit Functions, Lipschitz Maps, and Stability in Optimization

    Asen L. Dontchev;William W. Hager

  • Metric regularity of semi-infinite constraint systems

    M. J. Cánovas;A. L. Dontchev;M. A. López;J. Parra

  • Characterizations of Lipschitzian Stability in Nonlinear Programming

    A. L. Dontchev;R. T. Rockafellar

  • Singular Perturbation in Mayer’s Problem for Linear Systems

    A. L. Dontchev;V. M. Veliov

  • Implicit function theorems for generalized equations

    Asen L. Dontchev

Frequent Co-Authors

William W. Hager
William W. Hager University of Florida
Ilya Kolmanovsky
Ilya Kolmanovsky University of Michigan–Ann Arbor
R. T. Rockafellar
R. T. Rockafellar University of Washington
Liqun Qi
Liqun Qi Hong Kong Polytechnic University
Adrian S. Lewis
Adrian S. Lewis Cornell University
Nicholas I. M. Gould
Nicholas I. M. Gould University of Oxford
Patrick L. Combettes
Patrick L. Combettes North Carolina State University
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Lorenz T. Biegler
Lorenz T. Biegler Carnegie Mellon University
Masao Fukushima
Masao Fukushima Kyoto University

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