Fractional Order Hybrid Systems and Their Stability

2013/03/21 by S. Hassan HosseinNia, Inés Tejado, HosseinNia, S. Hassan +3
Engineering · #Adaptation and Self-Organizing Systems (nlin.AO) #Adaptive Control of Nonlinear Systems #Advanced Control Systems Design #FOS: Electrical engineering #FOS: Physical sciences #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1303.5442

openalex publication_date 2013/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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_β-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.

Citations

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

Related

• Hybrid Systems and Control With Fractional Dynamics (II): Control
• Hybrid Systems and Control With Fractional Dynamics (I): Modeling and\n Analysis
• Stability of Fractional Order Switching Systems
• Basic Properties and Stability of Fractional-Order Reset Control Systems
• Reset control systems: the zero-crossing resetting law