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Lehrstuhl für Mathematik mit Schwerpunkt Dynamische Systeme

PD Dr. Andrii Mironchenko

  1. A. Mironchenko
    Input-to-State Stability
    Springer, 2023
  2. A. Mironchenko
    Imperative and object-oriented programming in languages Turbo Pascal and Delphi.
    Odessa, VMV, 2007, 408 p. (in Russian)
  1. A. Chaillet, F. Wirth, A. Mironchenko, L. Brivadis
    For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity
    Submitted to IEEE Control Systems Letters, 2024.
  2. L. Brivadis, A. Chaillet, A. Mironchenko, F. Wirth
    Forward completeness implies bounded reachable sets for time-delay systems on the state space of essentially bounded measurable
    functions
    Submitted to IEEE Control Systems Letters, 2024.
  3. A. Mironchenko, F. Schwenninger
    Coercive quadratic converse ISS Lyapunov theorems for linear analytic systems
    Submitted to Mathematics of Control, Signals, and Systems, 2023.
  4. A. Kilian, B. Maschke, A. Mironchenko, F. Wirth
    Infinite-dimensional port-Hamiltonian systems with a stationary interface
    ArXiV preprint, 2023.
  5. J. Glück, A. Mironchenko
    Stability criteria for positive C0-semigroups on ordered Banach spaces
    ArXiV preprint, 2023
  6. A. Mironchenko
    Well-posedness and properties of the flow for semilinear evolution equations
    Mathematics of Control, Signals, and Systems (MCSS), 2023.
  7. A. Mironchenko
    Lyapunov criteria for robust forward completeness of distributed parameter systems
    Systems & Control Letters, 180:105618, 2023.
  8. A. Kilian, B. Maschke, A. Mironchenko, F. Wirth
    A case study of port-Hamiltonian systems with a moving interface
    IEEE Control Systems Letters, 7:1572–1577, 2023.
  9. Ch. Kawan, A. Mironchenko, M. Zamani
    A Lyapunov-based ISS small-gain theorem for infinite networks of nonlinear systems
    IEEE Transactions on Automatic Control, 68(3):1447–1462, 2023.
  10. Noroozi, N.; Mironchenko, A.; Kawan, Ch. and Zamani, M.
    A small-gain theorem for set stability of infinite networks: Distributed observation and ISS for time-varying networks.
    European Journal of Control, 67:100634, 2022.
  11. Noroozi, N.; Mironchenko, A. and Wirth, F.
    A relaxed small-gain theorem for discrete-time infinite networks.
    Automatica, 142:110363, 2022.
  12. Kawan, C.; Mironchenko, A. and Zamani, M. 
    A Lyapunov-based ISS small-gain theorem for infinite networks of nonlinear systems. 
    Accepted by IEEE Transactions on Automatic Control, online at: arxiv.org/abs/2103.07439, 2022. 
  13. B. Jacob, A. Mironchenko, F. Schwenninger
    Input-to-state stability for infinite-dimensional systems
    Mathematics of Control, Signals, and Systems, 34(1): 215{216, 2022
  14. Glück, J. and Mironchenko, A. 
    Stability criteria for positive linear discrete-time systems. 
    Positivity, 25 (5): 2029-2059, 2021. 
  15. Ch. Kawan, A. Mironchenko, A. Swikir, N. Noroozi, M. Zamani. A Lyapunov-based small-gain
    theorem for in nite networks. IEEE Transactions on Automatic Control, 66(12):5830{5844,
    2021. pdf   
    (2023 IEEE CSS George S. Axelby Outstanding Paper)
  16. Mironchenko, A.; Kawan, C. and Glück, J. 
    Nonlinear small-gain theorems for input-to-state stability of infinite interconnections. 
    Mathematics of Control, Signals, and Systems, 33: 573-615, 2021. 
  17. Mironchenko, A.; Noroozi, N.; Kawan, C. and Zamani, M. 
    ISS small-gain criteria for infinite networks with linear gain functions. 
    Systems & Control Letters, "157": "105051", 2021. 
  18. Mironchenko, A.; Prieur, C. and Wirth, F. 
    Local stabilization of an unstable parabolic equation via saturated controls. 
    IEEE Transactions on Automatic Control, 66 (5): 2162-2176, 2021. 
  19. Mironchenko, A. 
    Small gain theorems for general networks of heterogeneous infinite-dimensional systems. 
    SIAM Journal on Control and Optimization, 59 (2): 1393-1419, 2021. pdf   
  20. Mironchenko, A.
    Non-uniform ISS small-gain theorem for infinite networks. 
    IMA Journal of Mathematical Control and Information, 38 (4): 1029-1045, 2021. 
  21. Jacob, B.; Mironchenko, A.; Partington, J. R and Wirth, F. 
    Noncoercive Lyapunov functions for input-to-state stability of infinite-dimensional systems. 
    SIAM Journal on Control and Optimization, 58 (5): 2952-2978, 2020. pdf   
  22. Mironchenko, A. and Prieur, C. 
    Input-to-state stability of infinite-dimensional systems: Recent results and open questions. 
    SIAM Review, 62 (3): 529-614, 2020. pdf   
  23. Mironchenko, A.; Karafyllis, I. and Krstic, M.
    Monotonicity Methods for Input-to-State Stability of Nonlinear Parabolic PDEs with Boundary Disturbances    .
    SIAM Journal on Control and Optimization    , 57 (1): 510-532, 2019. pdf  
  24. Mironchenko, A. and Wirth, F.
    Non-coercive Lyapunov functions for infinite-dimensional systems.
    Journal of Differential Equations, 105: 7038-7072, 2019. pdf  
  25. Mironchenko, A. and Wirth, F.
    Existence of non-coercive Lyapunov functions is equivalent to integral uniform global asymptotic stability.
    Mathematics of Control, Signals, and Systems    , 31 (4), 2019. pdf  
  26. Mironchenko, A.
    Criteria for input-to-state practical stability.
    IEEE Transactions on Automatic Control, 64 (1): 298-304, 2019. pdf  
  27. Mironchenko, A.
    Small gain theorems for general networks of heterogeneous infinite-dimensional systems    .
    Submitted to SIAM Journal on Control and Optimization    , 2019. pdf  
  28. Mironchenko, A.; Yang, G. and Liberzon, D.
    Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems    .
    Automatica, 88: 10-20, 2018. pdf 
  29. Mironchenko, A. and Wirth, F.
    Lyapunov characterization of input-to-state stability for semilinear control systems over Banach spaces.
    Systems & Control Letters, 119: 64-70, 2018. pdf  
  30. A. Mironchenko und F. Wirth. 
    Characterizations of Input-to-State Stability for Infinite-Dimensional Systems. 
    IEEE Transactions on Automatic Control, 63 (6): 1602-1617, 2018. 
    Preprint
  31. A. Mironchenko. 
    Uniform weak attractivity and criteria for practical global asymptotic stability. 
    Systems & Control Letters, 105: 92-99, 2017.
    Preprint
  32. A. Mironchenko und Hiroshi Ito.
    Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions.
    Accepted to Mathematical Control and Related Fields, 6(3):447-466, 2016.
    Preprint
  33. A. Mironchenko.
    Local input-to-state stability: characterizations and counterexamples.
    Systems & Control Letters, 87:23–28, 2016.
    Preprint
  34. A. Mironchenko und Hiroshi Ito.
    Construction of Lyapunov functions for interconnected parabolic systems: an iISS approach.
    SIAM Journal on Control and Optimization (SICON), 53(6):3364–3382, 2015.
    Preprint
  35. A. Mironchenko, F. Wirth und K. Wulff.
    Stabilization of switched linear differential-algebraic equations via time-dependent switching signals.
    IEEE Transactions on Automatic Control, 60(8):2102–2113, 2015.
    Preprint
  36. A. Mironchenko und J. Kozlowski.
    Optimal allocation patterns and optimal seed mass of a perennial plant.
    Journal of Theoretical Biology, 354:12–24, 2014.
    Preprint   Journal page
  37. S. Dashkovskiy und A. Mironchenko.
    Input-to-state stability of nonlinear impulsive systems.
    SIAM Journal on Control and Optimization (SICON), 51(3):1962–1967, 2013. 
    Preprint   Journal page
  38. S. Dashkovskiy und A. Mironchenko.
    Input-to-state stability of infinite-dimensional control systems.
    Mathematics of Control, Signals, and Systems, 25(1):1–35, 2013.
    Preprint   Journal page
  39. S. Dashkovskiy, M. Kosmykov, A. Mironchenko und L. Naujok.
    Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods.
    Nonlinear Analysis: Hybrid Systems, 6(3):899–915, 2012.
    Preprint   Journal page
  40. S. Dashkovskiy, M. Görges, M. Kosmykov, A. Mironchenko und L. Naujok.
    Modelling and stability analysis of autonomous controlled production networks.
    Logistics Research, 3(2):145–157, 2011.
    Journal page 
  41. S. Dashkovskiy, H.-J. Kreowski, S. Kuske, A. Mironchenko, L. Naujok und C. von Totth.
    Production Networks as Communities of Autonomous Units and Their Stability.
    International Electronic Journal of Pure and Applied Mathematics, 2(1):17–42, 2010.
  1. S. Dashkovskiy, A. Mironchenko und L. Naujok.
    Autonomous and Central Control of Production Networks.
    In: Autonomous Cooperation and Control in Logistics, M. Hülsmann, B. Scholz-Reiter, K. Windt (Eds.), pp. 27–43, Springer Verlag, 2011.
  1. A. Mironchenko, F. Wirth, A. Chaillet, L. Brivadis
    ISS Lyapunov-Krasovskii theorem with point-wise dissipation: a V -stability approach
    Submitted to 63rd IEEE Conference on Decision and Control, 2024
  2. A. Mironchenko, F. Schwenninger
    Coercive quadratic ISS Lyapunov functions for analytic systems
    Proc. of 62nd IEEE Conference on Decision and Control, Singapore, pp. 4699{4704, 2023
  3. A. Mironchenko
    Live systems of varying dimension: modeling and stability
    Proc. of 62nd IEEE Conference on Decision and Control, Singapore, pp. 3956{3961, 2023.
  4. Glück, J.; Mironchenko, A.
    Revisiting stability of positive linear discrete-time systems.
    Proc. of the 25rd International Symposium on Mathematical Theory of Networks and Systems, Bayreuth, Germany, pp. 126-131, 2022.
  5. Kawan, C.; Mironchenko, A. and Zamani, M. 
    Construction of ISS Lyapunov functions for infinite networks of ISS systems. 
    Proc. of 60th IEEE Conference on Decision and Control, pages 4811-4816, 2021. pdf   
  6. Mironchenko, A.; Noroozi, N.; Kawan, C. and Zamani, M. 
    A small-gain approach to ISS of infinite networks with homogeneous gain operators. 
    Proc. of 60th IEEE Conference on Decision and Control, pages 4817-4822, 2021. pdf   
  7. Noroozi, N.; Mironchenko, A.; Kawan, C. and Zamani, M. 
    Set stability of infinite networks: ISS small-gain theory and its applications. 
    IFAC-PapersOnLine, pages 72-77, 2021. pdf   
  8. Kawan, C.; Mironchenko, A.; Swikir, A.; Noroozi, N. and Zamani, M. 
    A spectral small-gain condition for input-to-state stability of infinite networks. 
    IFAC-PapersOnLine, pages 5303-5308, 2020. pdf   
  9. Mironchenko, A.
    Lyapunov functions for input-to-state stability of infinite-dimensional systems with integrable inputs. 
    IFAC-PapersOnLine, pages 5336-5341, 2020. pdf   
  10. Noroozi, N.; Mironchenko, A. and Wirth, F. R 
    A relaxed small-gain theorem for discrete-time infinite networks. 
    Proc. of 59th IEEE Conference on Decision and Control, pages 3102-3107, 2020. 
  11. Dashkovskiy, S.; Mironchenko, A.; Schmid, J. and Wirth, F.
    Stability of infinitely many interconnected systems    .
    Proc. of the 11th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2019), pages 937-942, 2019.
    pdf      
  12. Mironchenko, A.; Prieur, C. and Wirth, F.
    Design of saturated controls for an unstable parabolic PDE.
    Proc. of the 11th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2019), pages 937-942, 2019.
    pdf
  13. Mironchenko, A.
    Small gain theorems for networks of heterogeneous systems    .
    Proc. of the 11th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2019), pages 925-930, 2019.
    pdf      
  14. Mironchenko, A.
    Small-gain theorems for stability of infinite networks.
    Proc. of the 58th IEEE Conference on Decision and Control, Nice, France, pages 5617-5622, 2019.
    pdf      
  15. A. Mironchenko, I. Karafyllis und M. Krstic. 
    Input-to-State Stability of Nonlinear Parabolic PDEs with Dirichlet Boundary Disturbances. 
    Proc. of the 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018), Hong Kong, pp. 38–44, 2018.
    pdf version
  16. A. Mironchenko und F. Wirth. 
    Integral uniform global asymptotic stability and non-coercive Lyapunov functions. 
    Proc. of the 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018), Hong Kong, pp. 734-741, 2018
    pdf version
  17. B. Jacob, A. Mironchenko, J. R. Partington und F. Wirth. 
    Remarks on input-to-state stability and noncoercive Lyapunov functions. 
    Accepted to the 57th IEEE Conference on Decision and Control (CDC 2018), Miami Beach, USA, 2018.
    pdf version
  18. A. Mironchenko und F. Wirth. 
    A non-coercive Lyapunov framework for stability of distributed parameter systems.
    Proc. of the 56th IEEE Conference on Decision and Control (CDC 2017), pp. 1900-1905, Melbourne, Australia, 2017.
    pdf version
  19. A. Mironchenko und F. Wirth.
    Input-to-state stability of time-delay systems: criteria and open problems. 
    Proc. of the 56th IEEE Conference on Decision and Control (CDC 2017), Melbourne, Australia, pp. 3719-3724, 2017.
    pdf version
  20. G. Yang, D. Liberzon, A. Mironchenko. 
    Analysis of different Lyapunov function constructions for interconnected hybrid systems. 
    Proc. of the 55th IEEE Conference on Decision and Control (CDC 2016), Las-Vegas, Nevada, USA, pp. 465–470, 2016. 
    pdf version
  21. A. Mironchenko und F. Wirth.
    Global converse Lyapunov theorems for infinite-dimensional systems.
    Proc. of the 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2016), Monterey, California, USA, 909-914, 2016.
    pdf version
  22. A. Mironchenko und F. Wirth.
    Restatements of input-to-state stability in infinite dimensions: what goeswrong?
    Proc. of the 22nd International Symposium on Mathematical Theory of Systems and Networks (MTNS 2016), Minnesota, USA, pp. 667-674. 2016.
    pdf version
  23. A. Mironchenko und F. Wirth.
    A note on input-to-state stability of linear and bilinear infinite-dimensionalsystems.
    Proc. of the 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, pp.495–500, 2015.
    pdf version
  24. A. Mironchenko und H. Ito.
    Construction of iISS Lyapunov functions for interconnected parabolic systems.
    Accepted to European Control Conference (ECC15), 15.07.-17.07.2015, Linz, Austria, pp. 37–42, 2015.
    pdf version
  25. A. Mironchenko und H. Ito.
    Integral input-to-state stability of bilinear infinite-dimensional systems.
    Proc. of the 53th IEEE Conference on Decision and Control (CDC 2014), Los-Angeles, USA, pp. 3155–3160, 2014.
    pdf version
  26. S. Dashkovskiy und A. Mironchenko.
    Lyapunov methodology for stability analysis of impulsive systems.
    Proc. of the SICE Multi Symposium on Control Systems 2014 (MSCS 2014), Tokyo, Japan, 2014 (Proceedings CD).
  27. A. Mironchenko, G. Yang und D. Liberzon.
    Lyapunov small-gain theorems for not necessarily ISS hybrid systems.
    Proc. of the 21st International Symposium on Mathematical Theory of Systems and Networks (MTNS 2014), Groningen, Netherlands, pp. 1001–1008, 2014.
    pdf version
  28. S. Dashkovskiy und A. Mironchenko.
    Stability of nonlinear infinite dimensional impulsive systems and their interconnections.
    Proc. of the 53th IEEE Conference on Decision and Control (CDC 2014), Los-Angeles, USA, pp. 2071–2076, 2014.
    pdf version
  29. A. Mironchenko und J. Kozlowski.
    Optimal allocation strategies of perennial plants.
    Proc. of the 52th IEEE Conference on Decision and Control (CDC 2013), Florence, Italy, pp. 3361–3366, 2013.
  30. A. Mironchenko, F. Wirth und K. Wulff.
    Stabilization of switched linear differential-algebraic equations via time-dependent switching signals.
    Proc. of the 52th IEEE Conference on Decision and Control (CDC 2013), Florence, Italy, pp. 5975–5980, 2013.
    pdf version
  31. S. Dashkovskiy und A. Mironchenko.
    Constructions of ISS-Lyapunov functions for interconnected impulsive systems.
    Proc. of the 51th IEEE Conference on Decision and Control (CDC 2012), Hawaii, USA, pp. 6831–6836, 2012.
  32. S. Dashkovskiy und A. Mironchenko.
    Dwell-time conditions for robust stability of impulsive systems.
    Proc. of the 20th International Symposium on Mathematical Theory of Systems and Networks (MTNS 2012), Melbourne, Australia, 2012 (paper 72, Proceedings CD).
    pdf version
  33. S. Dashkovskiy und A. Mironchenko.
    Local ISS of Reaction-Diffusion Systems.
    Proc. of the 18th IFAC World Congress, Milan, Italy, pp. 11018–11023, 2011.
  34. S. Dashkovskiy, H. R. Karimi, M. Kosmykov, A. Mironchenko und L. Naujok.
    Application of the LISS Lyapunov-Krasovskii small-gain theorem to autonomously controlled production networks with timedelays.
    Proc. of the Conference on Control and Fault-Tolerant Systems, Nice, France, pp. 765–770, 2010.
  35. S. Dashkovskiy und A. Mironchenko.
    On the uniform input-to-state stability of reaction-diffusion systems.
    Proc. of the 49th IEEE Conference on Decision and Control (CDC 2010), Atlanta, USA, pp. 6547–6552, 2010.
    Journal page
  36. S. Dashkovskiy, H.-J. Kreowski, S. Kuske, A. Mironchenko, L. Naujok und C. von Totth.
    Production Networks as Communities of Autonomous Units and Their Stability.
    Proc. of the 3rd International Workshop on Graph Computation Models, Enschede, Netherlands, pp. 17–32, 2010.
  1. A. Mironchenko.
    Input-to-state stability of infinite-dimensional control systems.
    PhD thesis, Department of Mathematics and Computer Science, University of Bremen, 2012.
    pdf version
  2. A. Mironchenko.
    Mathematical modeling of Agrocoenosis.
    Master’s thesis, Department of Applied Mathematics, Mechnikov Odessa National University, 2008.
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