TY  - JOUR
AU  - Baranowski, Jerzy
AU  - Zagorowska, Marta
AU  - Bauer, Waldemar
AU  - Dziwinski, Tomasz
AU  - Piatek, Pawel
PY  - 2015/04/09
Y2  - 2025/01/02
TI  - Applications of Direct Lyapunov Method in Caputo Non-Integer Order Systems
JF  - Elektronika ir Elektrotechnika
JA  - ELEKTRON ELEKTROTECH
VL  - 21
IS  - 2
SE  - 
DO  - 10.5755/j01.eee.21.2.11505
UR  - https://eejournal.ktu.lt/index.php/elt/article/view/11505
SP  - 10-13
AB  - &lt;p&gt;Paper presents certain properties of Lyapunov direct method for non-integer order systems. Mittag-Leffler stability is defined and its relationship with Lyapunov stability is investigated. General results for Lyapunov functions are presented and a new result allowing constructive stability analysis is proved. Results are illustrated with the examples of stability analysis for problem of cooling, chemical reaction evolution and parametric stability analysis.&lt;/p&gt;&lt;p&gt;DOI: &lt;a href=&quot;http://dx.doi.org/10.5755/j01.eee.21.2.11505&quot;&gt;http://dx.doi.org/10.5755/j01.eee.21.2.11505&lt;/a&gt;&lt;/p&gt;
ER  -