TY  - JOUR
TI  - Relaxation of Conditions of Lyapunov Functions
AB  - In this study, stability conditions are given for nonlinear time varyingsystems using the classical Lyapunov 2nd Method and its arguments. A novelapproach is utilized and so that uniform stability can also be proved by using anunclassical Lyapunov Function. In contrast with the studies in the literature,Lyapunov Function is allowed to be negative definite and increasing through thesystem. To construct a classical Lyapunov Function, we use a reverse timeapproach methodology for the intervals where the unclassical one is increasing. Sowe prove the stability using a new Lyapunov Function construction methodology.The main result shows that the existence of such a function guarantees the stabilityof the origin. Some numerical examples are also given to demonstrate theefficiency of the method we use.
AU  - Şahan, Gökhan
DO  - 10.19113/sdufenbed.808371
PY  - 2021
JO  - Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
VL  - 25
IS  - 2
SN  - 1300-7688
SP  - 238
EP  - 244
DB  - TRDizin
UR  - http://search/yayin/detay/441797
ER  -