Stability of short memory fractional-order hybrid systems

• Published in: Chinese journal of physics (Taipei) Vol. 90; pp. 1057 - 1066
• Main Authors: Feng, Zaiyong, Mao, Jun, Xiang, Zhengrong, Wang, Xuhuan
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.08.2024
• Subjects: Asymptotic stability; Fractional-order system; Hybrid system; Short memory; Ultimately bounded stability; Short memory; Asymptotic stability; Fractional-order system; Ultimately bounded stability; Hybrid system
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2024.03.024

The stability theory of short memory fractional-order hybrid systems is studied in this article. Sufficient conditions of asymptotic stability and ultimately bounded stability for the nonlinear short memory fractional-order hybrid systems are proposed respectively. For the convenience of application, a convenient criterion of stability for the nonlinear short memory fractional-order hybrid systems is derived in the study. Demonstrative examples are given to verify the correctness of the proposed theorems in the part of simulation. •The sufficient condition of asymptotic stability for SMFOHSs is proposed.•The sufficient condition of UBS for SMFOHSs is proposed.•A convenient criterion of stability for SMFOHSs is derived.•Demonstrative examples verify the correctness of the proposed Theorems.