Hybrid Dynamical Systems and Control

https://www.aimspress.com/math/article/5839/special-articles

 Guest Editors 

Prof. W. M. Haddad Georgia Institute of Technology, USA Email: wm.haddad@aerospace.gatech.edu Homepage: http://haddad.gatech.edu

Prof. Xiaodi Li Shandong Normal University, P. R. China Email: lxd@sdnu.edu.cn Homepage: https://www.lxdsdnu.com

Manuscript Topics

Hybrid  dynamical systems (or simply hybrid systems) combine the typical  behaviors of continuous-time dynamical systems with that of  discrete-time dynamical systems, of which the continuous parts are often  described by differential equations and the discrete parts are  described by difference equations. Such models describe the interaction  of continuous- and discrete-time dynamics, which provide a framework for  mathematical modelling of many complex physical phenomena and practical  applications. Examples of hybrid systems widely exist in manufacturing  systems, computer operating systems, biological systems and so on. Since  1986, when the concept of hybrid systems was first proposed, research  on hybrid systems has undergone a booming development in both theory and  practice, which has attracted substantial attention from scholars and  achieved fruitful results.

Compared  with purely continuous-time systems and discrete-time systems, the  interaction between the continuous dynamics and discrete dynamics in  hybrid systems leads to a richer dynamical behavior, which also  inevitably leads to the complexity of stability analysis. Especially,  for some important classes of hybrid systems such as impulsive systems  and switching systems, stability analysis would become more challenging  since the stability conditions heavily rely on the continuous dynamics  as well as discrete dynamics. At the same time, hybrid control appearing  in a broad class of industrial applications has been another active  area of research, for which more methods and techniques should be  developed. Although interesting work has been reported on hybrid systems  in recent years, there remain many challenging open issues on such  topic.

The  purpose of this Special Issue is to explore the most recent results and  current trends of hybrid dynamical systems and provide a platform for  interested researchers to disseminate their original research of hybrid  systems. This is an excellent opportunity for researchers to report  their recent progresses with the scientific community, in general and  particularly working in the fields related to the title of the special  issue. The list of possible topics includes, but is not limited to:

• Switching systems • Impulsive systems • Stochastic systems • Delayed systems • Networked control systems • Discontinuous control systems