Stability Analysis and Control of Fractional-Order Markovian Jump Systems

Dear Colleagues,

The study of fractional differential equations has recently emerged as a new subject of research in applied mathematics. In modeling the heredity and memory properties of many materials and processes, fractional-order models have been shown to be superior to the traditional integer-order models. Due to the unchanging persistence of researchers, some real-world applications of fractional-order systems have been discovered, including network approximation, state estimation and system identification, robotic manipulators, formation control, disease treatment, and so on. As a result, the stability analysis of fractional-order systems have been reported.

In the past few decades, Markov jump systems (MJSs) have been an active area of research. They switch from one mode to another in a random way. The switching between modes is governed by a Markovian process with discrete and finite state space. These models serve as convenient tools for analyzing plants that are subjected to random abrupt changes, which may result from random component failures, abrupt environment changes, disturbance, and changes in the interconnections of subsystems. As a dominant factor, the transition rates (TRs) in the jumping process determine the system behavior to a large extent, and so far, many analysis and synthesis results have been reported, assuming complete knowledge of the transition rates. In practice, it is difficult to precisely estimate the TRs. Therefore, developing analysis and synthesis methods for fractional-order systems with Markovian jumping parameters has received the attention of researchers.

This Special Issue is focused on the stability analysis and control of fractional-order dynamical systems with Markovian jumping parameters. Submissions focused on the robust stability of fractional-order complex systems, fractional-order stochastic systems, and the stochastic stabilization of fractional-order nonlinear dynamical systems with Markovian parameters. Potential topics include, but are not limited to, the following:

• Stochastic fractional-order dynamic model development with Markovian parameters;
• Robust stability analysis of fractional-order chaotic systems with Markovian parameters;
• Novel stochastic stabilization of fractional-order nonlinear dynamical systems with Markovian parameters;
• Stability analysis for stochastic fractional order systems with Markovian parameters;
• Discrete-time fractional-order systems with Markovian parameters;
• Fractional-order switching systems with Markovian parameters;
• Stability and boundedness control on open fractional-order economy systems or ecology systems with Markovian parameters.

Dr. M. Syed Ali
Guest Editor

Manuscript Submission Information

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• fractional-order systems
• Markovian jumping parameters
• stability
• synchronization