Recent Advances in Semi-Markov Jump Systems and Their Applications

In practice, due to some complicated factors, such as component failures and abrupt alterations between subsystem interconnections, a great number of dynamic systems always suffer from sudden variations in their structures and parameters. Among many modeling methods, Markov jump systems have shown outstanding advantages in describing various physical systems subject to sudden changes including environmental disturbances, unexpected events of operating points, and uncontrolled configuration changes. This kind of systems can be found in many physical engineering fields including energy systems, macroeconomic models, networked control systems, fault-tolerant systems, and other industrial systems. As a popular class of hybrid systems, Markov jump systems consist of a number of subsystems and a stochastic switching signal governed by Markov process.

It is noted that, as an important factor, the transition rate affects the dynamic characteristics of Markov jump systems, which is mainly influenced by the probability distribution function of the sojourn time. Since the sojourn time of Markov process obeys unique continuous-time memoryless exponential distribution, the transition rate is independent of the past mode and has no relationship with the sojourn time, which greatly limits the practical application scope of Markov jump systems. Compared with Markov jump systems, semi-Markov jump systems relax the constraint condition that the sojourn time obeys exponential distribution, which leads to the fact that the transition rate depends on the past mode and satisfies the sojourn-time-dependent property. Due to the above factors, semi-Markov jump systems can better model the dynamic systems subject to inevitable stochastic changes and have many applications in various fields of practical engineering, such as hospital planning, multiple-bus systems, and credit risk systems. For Markov jump systems, this emerging research topic about semi-Markov jump systems is still in its early stages of development and there remains plenty of scope to address many interesting issues. To be specific, by the key point of semi-Markov process, advances in the analysis and design for semi-Markov jump systems are exclusively pursued in this special issue.
 

This special issue will feature the recent developments of semi-Markov jump systems with their applications. The target audience includes both academic researchers and industrial practitioners. It aims to provide a platform for sharing recent results and team experience in analysis and design for semi-Markov jump systems with their applications.

TOPICS OF INTEREST

Topics include (but not limited to):

• Control for linear/nonlinear semi-Markov jump systems;
• Semi-Markov jump systems with stochastic disturbance;
• Stabilization for semi-Markov jump systems via sliding mode control method;
• Positivity for semi-Markov jump systems based on linear programming;
• Fault detection for semi-Markov jump systems;
• Filter design for semi-Markov jump systems;
• Fault tolerant control for semi-Markov jump systems;
• Anti-disturbance control for semi-Markov jump systems;
• Quantized control for semi-Markov jump systems;
• Event-triggered control for semi-Markov jump systems;
• Finite-time stabilization for semi-Markov jump systems;
• Applications of semi-Markov jump systems theories to autonomous vehicles, cyber-physical systems, multi-agent systems,
  sensor networks, robotic and mechatronic systems, etc.

IMPORTANT DATES

December 31, 2020—Submission deadline

March 1, 2021—Notification of the first-round review

May 31, 2021—Revised submission due

July 31, 2021—Final notification of acceptance/rejection

December 31, 2021—Publication date

GUEST EDITORS:

Prof. Guangdeng Zong, E-mail: lovelyletian@gmail.com
School of Engineering,
Qufu Normal University, China

Prof. Yang Shi, Email: yshi@uvic.ca (Corresponding Guest Editor)
Department of Mechanical Engineering,
University of Victoria, Canada

Prof. Ju H. Park, Email: jessie@ynu.ac.kr
Department of Electrical Engineering,
Yeungnam University, South Korea

Associate Professor Li Qiu, Email: qiuli@szu.edu.cn
College of Mechatronics and Control Engineering,
Shenzhen University, China

Prof. Peng Shi, Email: peng.shi@adelaide.edu.au
School of Electrical and Electronic Engineering,
The University of Adelaide, Australia