Title :
Fractional order hybrid systems and their stability
Author :
Hassan HosseinNia, S. ; Tejado, Ines ; Vinagre, Blas M.
Author_Institution :
Dept. of Electr., Electron. & Autom. Eng., Univ. of Extremadura, Badajoz, Spain
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, Hβ-condition is used -frequency domain equivalence of Lyapunovlike method for reset control systems. The applicability and efficiency of the proposed methods are shown by some illustrative examples.
Keywords :
Lyapunov methods; continuous systems; discrete systems; equivalence classes; frequency-domain analysis; stability; time-varying systems; FOHS; Hβ-condition; Lyapunov method; fractional order dynamics; fractional order hybrid system; frequency domain equivalence; reset control system; stability; switching control system; Asymptotic stability; Frequency-domain analysis; Power system stability; Stability analysis; Switches; Switching systems; Common Lyapunov method; Fractional order hybrid system; Hβ -condition; Lyapunov-like method; Reset control system; Switching system;
Conference_Titel :
Carpathian Control Conference (ICCC), 2013 14th International
Conference_Location :
Rytro
Print_ISBN :
978-1-4673-4488-3
DOI :
10.1109/CarpathianCC.2013.6560524
