dr Anna Michalak

Contact datails

Office hour: 

sabbatical leave

Room: 

F213

Phone: 

48 42 6355022

Email: 

Academic and Research Career
University of Łódź, Faculty of Mathematics and Computer Sciences, Mathematics, 2010, doctor, doctoral dissertation entitled: "Dual approach to Lyapunov stability"
University of Łódź, Faculty of Mathematics and Computer Sciences, Mathematics, mathematics (specjality computer science: "Application of neural networks in prediction the risk of heart attack", 2004, master of science.

Publications

  • "Necessary and Sufficient Conditions for Robust Minimal Solutions in Uncertain Vector Optimization" (Anna Michalak, Aleksandra Stasiak, Marcin Studniarski), Journal of Optimization Theory and Applications (2020)
  • "Fixed-time stability of ODE and fixed-time stability of neural network" (Anna Michalak, Andrzej Nowakowski), International Journal of Control (2020)
  • "A characterization of Q-minimal solutions in set-valued optimization in terms of radial derivatives" (Anna MIchalak, Marcin Studniarski), 2017 International Conference on Control, Artificial Intelligence, Robotics & Optimization (2017)
  • "Optimality conditions and duality results for a class of differentiable vector optimization problems with the multiple interval-valued objective function" (Anna Michalak, Tadeusz Antczak), 2017 International Conference on Control, Artificial Intelligence, Robotics & Optimization (2017)
  • "Finite-time stability and finite-time synchronization of neural network – Dual approach" (Anna Michalak, Andrzej Nowakowski), Journal of the Franklin Institute (2017)
  • "The η-approximation method for nonconvex multiobjective variational problems" (Anna Michalak, Tadeusz Antczak), Numerical Functional Analysis and Optimization (2017)
  • "Higher-order conditions for local equilibria in a discontinuous Gale economic model" (Anna Michalak, Marcin Studniarski), Control and Cybernetics (2017)
  • "Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model" (Anna Michalak, Marcin Studniarski), Opuscula Mathematica (2014)
  • "Dual approach to Lyapunov stability" (Anna Michalak), Nonlinear Analysis: T.M.A. (2013)
  • "The converse Lyapunov's theorem for ODE's of Carathéodory type” (Anna Michalak, Marta Grzanek, Andrzej Rogowski), Nonlinear Analysis: T.M.A. (2012)
  • "A nonsmooth Lyapunov function and stability for ODE's of Caratheodory type” (Anna Michalak, Marta Grzanek, Andrzej Rogowski), Nonlinear Analysis: T.M.A. (2007)
  • "Artificial neural networks are a potential tool for estimating prognosis in coronary artery disease are standard algorithms sufficient?" (Jaroslaw D Kasprzak, Anna Michalak, Andrzej Nowakowski, Jaroslaw Drozdz, Maria Krzeminska-Pakula), JOURNAL OF THE AMERICAN COLLEGE OF CARDIOLOGY (2007)
  • "Artificial neural networks are a potential tool for estimating prognosis in coronary artery disease-preliminary experience" (JD Kasprzak, A Michalak, A Nowakowski), EUROPEAN HEART JOURNAL (2006)
  • "Application of neural networks in prediction the risk of heart attack" (Anna Michalak) (2005)

Research Interest
Stability of ODE
Nonsmooth analysis
Set-value optimization

Field of Teaching
Mathematics, Linear Algebra