Fractional Order Hybrid Systems and Their Stability

Abstract

This paper deals with hybrid systems (HS) with fractional order dynamics and their stability. The stability of two particular types of fractional order hybrid systems (FOHS), i.e., switching and reset control systems, is studied. Common Lyapunov method, as well as its frequency domain equivalence, are generalized for the former systems and, for the latter, H${}_{\beta }$-condition is used --frequency domain equivalence of Lyapunov-like method for reset control systems. The applicability and efficiency of the proposed methods are shown by some illustrative examples.

14th International Carpathian Control Conference, Kraków-Rytro, Poland, May 26-29, 2013. arXiv admin note: text overlap with arXiv:1303.5301

References in corpus (2)

• Basic Properties and Stability of Fractional-Order Reset Control Systems
• Stability of Fractional Order Switching Systems