TY  - JOUR
A1  - Almeida, R.
A1  - Hristova, S.
A1  - Dashkovskiy, S.
T1  - Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
JF  - International Journal of Robust and Nonlinear Control
N2  - The bounded input bounded output (BIBO) stability for a nonlinear Caputo fractional system with time‐varying bounded delay and nonlinear output is studied. Utilizing the Razumikhin method, Lyapunov functions and appropriate fractional derivatives of Lyapunov functions some new bounded input bounded output stability criteria are derived. Also, explicit and independent on the initial time bounds of the output are provided. Uniform BIBO stability and uniform BIBO stability with input threshold are studied. A numerical simulation is carried out to show the system's dynamic response, and demonstrate the effectiveness of our theoretical results.
KW  - bounded input bounded output stability
KW  - Caputo fractional derivative
KW  - Lyapunov functions
KW  - Razumikhin method
KW  - time‐varying delay
Y1  - 2021
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-218554
VL  - 31
IS  - 1
SP  - 225
EP  - 249
ER  -