Publications:

Theses:

• Ghulchak A., Sign-Indefinite Algebraic Riccati Equations and Generalized H Optimization, Master Thesis, Department of Theoretical Cybernetics, Saint-Petersburg University, 1993, in Russian.
• Ghulchak A., Generalized H Optimization for Continuous Time, Discrete Time and Sampled Data Linear Systems in Hilbert Space, Saint-Petersburg State University, 1997, in Russian, ( Compressed Postscript). [Short abstract in English is here Postscript]

Journal papers:

• Barabanov A. and A. Ghulchak, H Optimization Problem with Sign-Indefinite Quadratic Form, System and Control Letters, vol. 29, pp. 157-164, 1996.
• Ambrosovski V., A. Barabanov, A. Ghulchak and A. Miroshnikov, Tracking System Synthesis by Uniform Frequency Optimization Technique, Automation and Remote Control, No. 4, 1997, pp. 3-13.
• Ghulchak A., The Generalized Problem of H Optimal Control with the General Quadratic Functional,  Doklady Mathematics, Vol. 57, No. 2, 1998, pp. 323-327. Translated from Doklady Akademii Nauk, Vol. 359, No. 4, 1998, pp. 467-471.
• Ghulchak A. and A. Rantzer, Robust Control under Parametric Uncertainty via Primal-Dual Convex Analysis, IEEE Transactions on Automatic Control, Vol. 47, No. 4, 2002, pp. 632-636 (Postscript).
• Ghulchak A. and A. Rantzer, Duality in H Cone Optimization, SIAM Journal on Control and Optimization, Vol. 41, No. 1, 2002, pp. 253-277 (Postscript).

Conference papers:

• Ghulchak A. and A. Shiriaev, Global Stabilization of the Discrete-Time Nonlinear Systems, Abstracts of 4th International Student Olympiad on Automatic Control, June 20-22, 1995, St.-Petersburg, Russia, pp.5-8.
• Barabanov A. and A. Ghulchak, Uniform Frequency Optimization with an Arbitrary Quadratic Form, Proceedings of 3d International Seminar "Nonsmooth and Discontinuous Optimization Problems", St.-Petersburg, June, 1995.
• Ghulchak A., H Optimization Problem with Sign-Indefinite Quadratic Form, Proceedings of 3d European Control Conference, Roma, Italy, September 5-8, 1995, vol. 1, pp. 207-211 (Postscript).
• Ghulchak A., Parametrization of All Suboptimal Controllers in H Sampled-Data Control Problem, Proceedings of 35th Conference on Decision and Control, Kobe, Japan, December 11-13, 1996 (Postscript).
• Johansson M., A. Ghulchak and A. Rantzer, Improving Efficiency in the Computation of Piecewise Quadratic Lyapunov Functions, The 7th Mediterranean Conference on Control and Automation, Haifa, Israel, June 28-30, 1999 (Postscript).
• Barabanov A. and A. Ghulchak, Operator Approach to H Control of Linear Delayed Systems, The 5th European Control Conference, Karlsruhe, Germany, August 31 - September 3, 1999 (Postscript).
• Ghulchak A. and A. Rantzer, Robust Controller Design via Linear Programming, Conference on Decision and Control, Phoenix, USA, 1999 (Postscript).
• Ghulchak A. and A. Shiriaev, Global Stabilization of a Class of Nonlinear Systems: An Alternative Description of the Sufficient Condition, Reglermöte 2000, Uppsala, Sweden, July 7 - 8, 2000 (Postscript).
• Barabanov A., A. Ghulchak, Numerical Solution to H Control of Multi-Delayed Systems via Operator Approach, Conference on Decision and Control, Sidney, Australia, 2000 (Postscript).
• Ghulchak A., Dual Problem in Multi-Objective H^p Control, European Control Conference, Porto, Portugal, September 4-7, 2001 (Postscript).
• Ghulchak A., Duality in Robust Control: Controller vs Uncertainty, Conference on Decision and Control, Orlando, USA, December 4-7, 2001 (Postscript).
• Rumyantsev S., A. Ghulchak, Disturbance Feedback Techniques for Hydrofoil Craft Using Acceleration Measurements, The 6th IFAC Conference on Manoevring and Control of Marine Craft, Girona, Spain, September 17-19, 2003 (pdf).
  
• Ghulchak A., Robust Stabilizability and Low-Order Controllers: Duality Principle in Case Studies, Conference on Decision and Control, Atlantis, Bahamas, December 14-17, 2004 (Postscript).
• Barabanov A., A. Ghulchak, Delayed Time-Varying H Control Design, The 16th IFAC World Congress, Prague, Czech Republic, July 4-8, 2005 (Postscript).
• Iantchenko S., A. Ghulchak, Canonical Parameterization of the Dual Problem in Robust Optimization: Non-Rational Case, European Control Conference, Kos, Greece, July 2-5, 2007.
• Iantchenko S., A. Ghulchak, Regularization of the Limiting Controller in Robust Stabilization, 17th IFAC World Congress, Seoul, Korea, July 6-11, 2008 (pdf).
• Johannesson, E., A. Rantzer, B. Bernhardsson, A. Ghulchak, Encoder and Decoder Design for Disturbance Attenuation, American Control Conference, 2010.
• Johannesson, E., A. Ghulchak, A. Rantzer, B. Bernhardsson, MIMO Encoder and Decoder Design for Disturbance Attenuation, MTNS 2010.
• Iantchenko S., A. Ghulchak, Robust Stabilization with Real Parametric Uncertainty via Linear Programming, MTNS 2010.
  

Other preprints:

• Ghulchak A., Generalized H Optimization Problem for Linear Differential Equations in Hilbert Space, Technical Report, Saint-Petersburg State University, 1996 (Postscript).
• Ghulchak A., Generalized Discrete-Time H Optimization Problem for Linear Difference Equations in Hilbert Space, Technical Report, Saint-Petersburg State University, 1996 (Postscript).
• Ghulchak A. and H. Sandberg, A Book Review: "Computer Control Systems. Analysis and Design with Process-Oriented Models." by E. Rosenwasser and B. Lampe, Automatica, Vol. 38, No. 11,2002, pp. 2031-2035 (Postscript).
• Slides of Robust Controller Design in Rank-One Problems