Title

Analysis of positivity and stability of fractional discrete-time nonlinear systems

Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences

Yearbook

2016

Numer

No 3 September

Publication authors

T. Kaczorek

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Sciences

Date

2016

Identifier

ISSN 0239-7528, eISSN 2300-1917

References

Zhang (2014), Robust stabilization of discrete - time positive switched systems with uncertainties and average dwell time switching, Circuits Syst Signal Process, 33. ; Czornik (2013), Lyapunov Exponents for Systems with Unbounded Coefficients Systems, Dynamical, 28, 140, doi.org/10.1080/14689367.2012.742038 ; Kaczorek (2014), Minimum energy control of descriptor positive discrete - time linear systems, COMPEL, 33, 976, doi.org/10.1108/COMPEL-04-2013-0111 ; Czornik (2012), On the Lyapunov and Bohl exponent of time - varying discrete linear systems thMediterranean Conf on Control and Automation Barcelona, MED, 20, 194. ; Czornik (2013), On the Lyapunov exponents of a class of the second order discrete - time linear systems with bounded perturbations Systems, Dynamical, 28, 473, doi.org/10.1080/14689367.2012.748718 ; Kaczorek (2014), Necessary and sufficient conditions for minimum energy control of positive discrete - time linear systems with bounded inputs Pol vol, Bull Tech, 62, 85. ; Czornik (2013), On the stability of Lyapunov exponents of discrete linear system of European Control Conf Zurich, Proc, 2210. ; Kaczorek (2011), Positive linear systems consisting of n subsystems with different fractional orders Circuits and Systems vol no, IEEE Trans, 6, 1203. ; Kaczorek (1997), Positive singular discrete time linear systems Pol, Bull Tech, 45, 619. ; Zhang (2014), Stability analysis for discrete - time switched systems with unstable subsystems by a mode - dependent average dwell time approach, ISA Transactions, 53, 1081, doi.org/10.1016/j.isatra.2014.05.020 ; Kaczorek (2014), Minimum energy control of fractional descriptor positive discrete - time linear systems, Int J Appl Math Sci, 24, 735. ; Czornik (2014), On the set of Perron exponents of discrete linear systems of World Congress of the thInternational Federation of Automatic Control, Proc, 11740. ; Kaczorek (2015), Positivity and stability of discrete - time nonlinear systems nd International Conference on Cybernetics, IEEE, 156. ; Kaczorek (null), Descriptor positive discrete - time and continuous - time nonlinear systems of SPIE, Proc, 9290, doi.org/10.1117/12.2074558(2014)

DOI

10.1515/bpasts-2016-0054