Lyapunov spectra behavior for linear discrete-time systems under small perturbations

Authors: Czornik, Adam, Makarov, Evgenii, Niezabitowski, Michal, Popova, Svetlana, Zaitsev, Vasilii

Subject Terms: Mathematics - Dynamical Systems, 39A06, 39A22, 39A30

Access URL: http://arxiv.org/abs/2106.14691

Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation.

Authors: ANH, Pham The¹, phamtheanhhn@gmail.com, CZORNIK, Adam², adam.czornik@polsl.pl, NIEZABITOWSKI, Michał², michal.niezabitowski@polsl.pl

Source: Archives of Control Sciences; 2024, Vol. 34 Issue 3, p569-588, 20p

This result is not displayed to guests.
Login for full access.

A Hilbert space approach to fractional difference equations

Authors: Anh, Pham The, Babiarz, Artur, Czornik, Adam, Kitzing, Konrad, Niezabitowski, Michał, Siegmund, Stefan, Trostorff, Sascha, Tuan, Hoang The

Subject Terms: Mathematics - Dynamical Systems, Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/1812.07957

Approximation and convergence analysis of optimal control for non-instantaneous impulsive fractional evolution hemivariational inequalities

Authors: Durga, N., Muthukumar, P., Niezabitowski, Michal

Source: In Results in Control and Optimization December 2022 9

Some conditions for the proportional local assignability of the Lyapunov spectrum of discrete linear time-varying systems

Authors: Czornik, Adam, Makarov, Evgeniĭ, Niezabitowski, Michał, Popova, Svetlana, Zaitsev, Vasilii

Source: In Automatica October 2022 144

A description of the spectrum of Sergeev frequencies of zeros of linear difference equations

Authors: Bykov, Vladimir, Czornik, Adam, Karpuk, Mikhail, Niezabitowski, Michał, Vaidzelevich, Aliaksei

Source: Journal of difference equations and applications. 28(11-12):1405-1422

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100169076685.0x000001&indx=1&recIds=ETOCvdc_100169076685.0x000001

An asymptotic state estimator design and synchronization criteria for fractional order time‐delayed genetic regulatory networks

Authors: Anbalagan, Pratap, Hincal, Evren, Ramachandran, Raja, Baleanu, Dumitru, Cao, Jinde, Niezabitowski, Michał

Source: Asian journal of control. 24(6):3163-3174

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100165045062.0x000001&indx=1&recIds=ETOCvdc_100165045062.0x000001

Spectrum assignment and stabilization by static output feedback of linear difference equations with state variable delays

Authors: Czornik, Adam, Niezabitowski, Michał, Zaitsev, Vasilii, Kim, Inna

Source: European journal of control. 63:40-47

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100153243426.0x000001&indx=1&recIds=ETOCvdc_100153243426.0x000001

Charakterystyki liczbowe dyskretnych układów hybrydowych
Numerical characteristics of discrete hybrid systems

Authors: Niezabitowski, Michał

Contributors: Czornik, Adam. (Prom.), Czornik, Adam. (Ferry.)

Availability: http://data.europeana.eu/aggregation/europeana/0940439/_nn37Sm3

Fractional Calculus in Human Arm Modeling
Intelligent information and database systems (Asian conference)

Authors: Grzejszczak, Tomasz, Jurgaś, Piotr, Łȩgowski, Adrian, Niezabitowski, Michał, Orwat, Justyna

Source: Lecture notes in computer science. 11432:624-638

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCCN605016089&indx=1&recIds=ETOCCN605016089

Exponential stability of non-linear stochastic delay differential system with generalized delay-dependent impulsive points

Authors: Rengamannar, Kaviya, Balakrishnan, Ganesh Priya, Palanisamy, Muthukumar, Niezabitowski, Michal

Source: In Applied Mathematics and Computation 1 October 2020 382

GLOBAL ATTRACTIVITY FOR SOME CLASSES OF RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL SYSTEMS

Authors: TUAN, H.T., CZORNIK, ADAM, NIETO, JUAN J., NIEZABITOWSKI, MICHAŁ

Source: The Journal of Integral Equations and Applications, 2019 Jul 01. 31(2), 265-282.

Access URL: https://www.jstor.org/stable/26846151

Exponential Stabilization of Discrete Nonlinear Time-Varying Systems

Authors: Czornik, Adam ^⁎, Makarov, Evgenii ^⁎⁎, Niezabitowski, Michał ^⁎, Popova, Svetlana ^⁎⁎⁎, Zaitsev, Vasilii ^⁎⁎⁎

Source: In IFAC PapersOnLine 2020 53(2):4744-4749

On the assignability of regularity coefficients and central exponents of discrete linear time-varying systems

Authors: Babiarz, Artur, Czornik, Adam, Niezabitowski, Michał

Source: In IFAC PapersOnLine 2019 52(28):64-69

Influence of parametric perturbations on Lyapunov exponents of discrete linear time-varying systems

Authors: Barabanov, Evgenij, Czornik, Adam, Niezabitowski, Michał, Vaidzelevich, Aliaksei

Source: In Systems & Control Letters December 2018 122:54-59

Robot Path Control with Al-Alaoui Rule for Fractional Calculus Discretization
Non-integer order calculus and its applications (Conference)

Authors: Babiarz, Artur, Łęgowski, Adrian, Niezabitowski, Michał

Source: Lecture notes in electrical engineering. 407:405-418

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCCN601666179&indx=1&recIds=ETOCCN601666179

Proportional Local Assignability of Lyapunov Spectrum of Linear Discrete Time-Varying Systems

Authors: Babiarz, Artur, Banshchikova, Irina, Czornik, Adam, Makarov, Evgenii, Niezabitowski, Michał, Popova, Svetlana

Source: SIAM journal on control and optimization. 57(2):1355-1377

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN620481759&indx=1&recIds=ETOCRN620481759

Relations between Bohl exponents and general exponent of discrete linear time-varying systems

Authors: Babiarz, Artur, Czornik, Adam, Niezabitowski, Michał

Source: Journal of difference equations and applications. 25(4):560-572

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100081017512.0x000001&indx=1&recIds=ETOCvdc_100081017512.0x000001

What types of functions may be the lower Bohl function of a diagonal discrete linear time-varying systems?

Authors: Babiarz, Artur, Czornik, Adam, Konyukh, Alexander, Niezabitowski, Michał

Source: In Journal of the Franklin Institute September 2017 354(13):5131-5144