Stability Analysis for Hybrid Systems

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: closed (8 February 2023) | Viewed by 2467

Special Issue Editors


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Guest Editor
Department of Electrical Engineering, Southern Taiwan University of Science and Technology, Tainan 71005, Taiwan
Interests: stability analysis; automatic control; intelligent control

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Guest Editor
School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China.
Interests: switched systems; nonlinear control; robust control; intelligent control

Special Issue Information

Dear Colleagues,

During the past two decades we have witnessed an increasing interest in hybrid systems, which involve a coupling between continuous dynamics and discrete events. They cover many useful and important systems such as hybrid automata, logic-based control systems, rigid mechanical systems with impact collisions, reset control systems, sampled-data control systems, networked control systems, etc. As a special class of hybrid systems, switched systems have earned greater attention. A typical switched system is composed of a finite number of continuous-time or discrete-time subsystems and a switching signal which orchestrates the exchange between these subsystems. The switched laws of hybrid systems include the state-varible switching method and dwell time switching method. Furthermore, since most physical systems and processes are nonlinear, the T-S fuzzy model has always been an effective method in complex systems. Accordingly, researchers have paid remarkable attention to analyzing and synthesizing the problems of T-S fuzzy hybrid systems.

This Special Issue is aimed at providing selected contributions on advances in the stability analysis of hybrid systems. This can include time-delay systems, large-scale systems, bilinear systems, and singularly perturbed systems.

Prof. Dr. JuingShian Chiou
Prof. Dr. Zhengrong Xiang
Guest Editors

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Keywords

  • hybrid systems
  • switched systems
  • average dwell time
  • Lyapunov function
  • stability analysis
  • switching law
  • state-variable switching
  • fuzzy systems

Published Papers (1 paper)

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Research

22 pages, 10545 KiB  
Article
Secure Data Transmission and Image Encryption Based on a Digital-Redesign Sliding Mode Chaos Synchronization
by Jiunn-Shiou Fang, Jason Sheng-Hong Tsai, Jun-Juh Yan, Li-Huseh Chiang and Shu-Mei Guo
Mathematics 2022, 10(3), 518; https://doi.org/10.3390/math10030518 - 5 Feb 2022
Cited by 4 | Viewed by 1902
Abstract
In this paper, a novel image encryption algorithm based on chaotic synchronization is proposed. First, a digital-redesign sliding mode controller (SMC) is developed to guarantee the chaos synchronization. The digital redesign method makes it possible to transform a proposed continuous-time SMC to discrete-time [...] Read more.
In this paper, a novel image encryption algorithm based on chaotic synchronization is proposed. First, a digital-redesign sliding mode controller (SMC) is developed to guarantee the chaos synchronization. The digital redesign method makes it possible to transform a proposed continuous-time SMC to discrete-time SMC whilst maintaining the performance of the robust synchronization. Then, the secret keys are embedded in the state equations of the master chaotic system, such that the secret keys do not appear in the public channel, and utilize the chaotic synchronization to achieve secure communication for transmitting the secret keys from transmitter to receiver. Second, an image encryption algorithm integrating the S-box with chaotic synchronization is established, where the S-box is created by the secret key transmitted from the transmitter. Finally, a detailed analysis of the image encryption algorithm based on chaos synchronization is included to verify the feasibility and effectiveness of this proposed approach. Full article
(This article belongs to the Special Issue Stability Analysis for Hybrid Systems)
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