Impulsive Control Systems and Complexity

Dear Colleagues,

Many complex real word phenomena exist under the conditions of disorder, chaos, randomness, uncertainty, or in general, under the conditions of entropy. The design of efficient impulsive controllers for such chaotic systems is the main objective of numerous researchers. The impulsive control of complex phenomena arises naturally in a wide variety of applications. Indeed, impulsive control dynamical systems are used for the mathematical simulation of processes which are subject to impulses during their evolution. Such types of processes are observed in numerous fields of science and technology: Control theory, population dynamics, biotechnologies, industrial robotics, etc.

The dynamic of impulsive control dynamical systems has long been and will continue to be one of the dominant themes in mathematics and mathematics applications due to its theoretical and practical significance. During the last couple of decades, the analysis of impulsive control complex systems and related models has attracted the attention of a wide audience of professionals, such as mathematicians, applied researchers, and practitioners. For example, impulsive control and synchronization are the most interesting and important collective behaviors of complex networking systems and have aroused great interest in researchers in fields such as secure communication and information processing. There are many cases where impulsive control can give a better performance than continuous control. Sometimes even only impulsive control can be used for control purposes. Impulsive control methodology is very effective and allows synchronization of a complex system using only small control impulses, even though the system’s behavior may follow unpredictable patterns.

In spite of the amount of published results recently focused on impulsive control complex systems, there remain many challenging open questions. The theory and applications of these systems are still very active areas of research.

In this Special Issue, we provide an international forum for researchers to contribute with original research as well as review papers focusing on the latest achievements in the theory and applications of impulsive control complex dynamical systems.

Prof. Dr. Xiaodi Li
Prof. Dr. Ivanka Stamova
Prof. Dr. Gani Stamov
Guest Editors

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