All Stories

  1. Hormone oscillations in the HPA axis: dynamical diseases and beyond

    Article • Exploration of Endocrine and Metabolic Diseases, June 2025, Open Exploration Publishing

    Prof. Alexander N. Churilov

  2. Using an integrate-and-fire neural technique to model impulsive oscillations in a hormonal system

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, August 2020, American Institute of Physics

    Prof. Alexander N. Churilov

  3. Stability analysis of Lur’e systems with a pulse-modulated feedback

    Article • Cybernetics and Physics, September 2019, Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences - IPME RAS

    Prof. Alexander N. Churilov

  4. A nonlinear control system is stabilized by a discrete-time feedback with a nonperiodic sampling

    Article • Mathematical Problems in Engineering, December 2018, Hindawi Publishing Corporation

    Prof. Alexander N. Churilov

  5. An Impulsive Goodwin-like Model: The Case of Multiple Delays

    Article • IFAC-PapersOnLine, January 2018, Elsevier

    Prof. Alexander N. Churilov

  6. Discrete-Time Mapping for an Impulsive Goodwin Oscillator with Three Delays

    Article • International Journal of Bifurcation and Chaos, November 2017, World Scientific Pub Co Pte Lt

    Prof. Alexander N. Churilov

  7. Hybrid Observer for an Intrinsic Impulsive Feedback System * *A. Medvedev and D. Yamalova are in part financed by the Swedish Research Council, Grant 2015-05256. A. Churilov was partly supported by the Russian Foundation for Basic Research, Grant 17-01...

    Article • IFAC-PapersOnLine, July 2017, Elsevier

    Prof. Alexander N. Churilov

  8. Impulsive Goodwin oscillator with large delay: Periodic oscillations, bistability, and attractors

    Article • Nonlinear Analysis Hybrid Systems, August 2016, Elsevier

    Prof. Alexander N. Churilov

  9. Discrete-time map for an impulsive Goodwin oscillator with a distributed delay

    Article • Mathematics of Control Signals and Systems, February 2016, Springer Science + Business Media

    Prof. Alexander N. Churilov

  10. Delay-induced dynamical phenomena in impulsive Goodwin's oscillator: What we know so far

    Article • December 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  11. Multistability and hidden attractors in an impulsive Goodwin oscillator with time delay

    Article • The European Physical Journal Special Topics, July 2015, Springer Science + Business Media

    Prof. Alexander N. Churilov

  12. State estimation in a delayed impulsive model of testosterone regulation by a finite-dimensional hybrid observer

    Article • July 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  13. A Review of Research on Dynamics of Impulsive Control Systems: the Impact of V. A. Yakubovich∗∗The authors were partly financed by by Saint Petersburg State University, Grant 6.38.230.2015. AG and AC were partly supported by the Russian Foundation for ...

    Article • IFAC-PapersOnLine, January 2015, Elsevier

    Prof. Alexander N. Churilov

  14. Design Degrees of Freedom in a Hybrid Observer for a Continuous Plant under an Intrinsic Pulse-modulated Feedback∗∗A. Medvedev and D. Yamalova are in part financed by the European Research Council, Advanced Grant 247035 (SysTEAM) and Grant 2012-3153 fr...

    Article • IFAC-PapersOnLine, January 2015, Elsevier

    Prof. Alexander N. Churilov

  15. Finite-Dimensional Hybrid Observer for Delayed Impulsive Model of Testosterone Regulation

    Article • Mathematical Problems in Engineering, January 2015, Hindawi Publishing Corporation

    Prof. Alexander N. Churilov

  16. Discrete-time modeling of a hereditary impulsive feedback system

    Article • December 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  17. An impulse-to-impulse discrete-time mapping for a time-delay impulsive system

    Article • Automatica, August 2014, Elsevier

    Prof. Alexander N. Churilov

  18. Time delay induced multistability and complex dynamics in an impulsive model of endocrine regulation

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  19. Periodical Solutions in a Pulse-Modulated Model of Endocrine Regulation With Time-Delay

    Article • IEEE Transactions on Automatic Control, March 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  20. Finite-dimensional reducibility of time-delay systems under pulse-modulated feedback

    Article • December 2013, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  21. Conditional Stability of a State Observer for a Low-order Hybrid Plant

    Article • IFAC Proceedings Volumes, January 2013, Elsevier

    Prof. Alexander N. Churilov

  22. Hybrid State Observer with Modulated Correction for Periodic Systems under Intrinsic Impulsive Feedback

    Article • IFAC Proceedings Volumes, January 2013, Elsevier

    Prof. Alexander N. Churilov

  23. Analysis of a pulse-modulated model of endocrine regulation with time-delay

    Article • December 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  24. A state observer for continuous oscillating systems under intrinsic pulse-modulated feedback

    Article • Automatica, June 2012, Elsevier

    Prof. Alexander N. Churilov

  25. Bifurcation phenomena in an impulsive model of non-basal testosterone regulation

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, February 2012, American Institute of Physics

    Prof. Alexander N. Churilov

  26. Complex dynamic phenomena in a low-order model of non-basal testosterone regulation

    Article • December 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  27. Further results on a state observer for continuous oscillating systems under intrinsic pulsatile feedback

    Article • December 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  28. State Observer for Continuous Oscillating Systems with Pulsatile Feedback⋆

    Article • IFAC Proceedings Volumes, January 2011, Elsevier

    Prof. Alexander N. Churilov

  29. Instability conditions for a non-linear discrete system in the critical case of two unit roots

    Article • Journal of Applied Mathematics and Mechanics, January 2009, Elsevier

    Prof. Alexander N. Churilov

  30. Mathematical model of non-basal testosterone regulation in the male by pulse modulated feedback

    Article • Automatica, January 2009, Elsevier

    Prof. Alexander N. Churilov

  31. Mathematical model of testosterone regulation by pulse-modulated feedback

    Article • October 2007, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  32. Frequency methods in the theory of pulse-modulated control systems

    Article • Automation and Remote Control, November 2006, Pleiades Publishing Ltd

    Prof. Alexander N. Churilov

  33. Article • Automation and Remote Control, January 2002, Springer Science + Business Media

    Prof. Alexander N. Churilov

  34. Stability and Oscillations of Nonlinear Pulse-Modulated Systems

    Article • January 1998, Springer Science + Business Media

    Prof. Alexander N. Churilov

  35. Solubility of matrix inequalities

    Article • Mathematical Notes, November 1984, Springer Science + Business Media

    Prof. Alexander N. Churilov

  36. Frequency theorem and the Lur'e equation

    Article • Siberian Mathematical Journal, January 1980, Springer Science + Business Media

    Prof. Alexander N. Churilov

  37. An LMI approach to stability analysis of PWM DC-DC buck converters

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov

  38. LMI technique for stabilization of a linear plant by a pulse-modulated signal

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Alexander N. Churilov