Advances in Study of Time-Delay Systems and Their Applications, 2nd Edition

Dear Colleagues,

In dynamical systems, the delay phenomenon is a generic part of industrial, communication, economical, biological, and similar processes that considerably affects their stability and dynamics. Moreover, it unambiguously deteriorates the quality of control performance in feedback loops. The study of the influence of delays on system stability, dynamics, and control performance poses a challenging mathematic exercise. System and control theories have worked to tackle this issue for almost a century, since the publication of the famous work by Volterra (1928). Modern theory is confronted with increasing requirements for the quality and performance of control systems in the industry, as well as in everyday reality, which can hardly be achieved using conventional methods. In order to meet these goals, more in-depth knowledge of the controlled delayed systems is a prerequisite.

This Special Issue of Mathematics is focused on recent developments in approaches to time-delay systems analysis and control design. We seek papers on system stability and dynamics analysis, including exponential, asymptotic, strong, delay-dependent, delay-independent, BIBO, H2, H∞, and other types of system stability. Hopf, fold, and pitchfork bifurcation; stability switching; and eigenvalue analyses are also welcome. Special consideration will be given to delays of neutral types and systems given by algebraic-differential equations; however, systems with retarded delays are also acceptable. In addition, the scope of this Special Issue includes modern control methods and their applications, such as switched systems, event-triggered control, Lyapunov–Razumikhin- and Krasovskii-type approaches, etc.

All submitted papers will be peer reviewed and selected on the basis of their quality and relevance to this Special Issue.

Dr. Libor Pekař
Guest Editor

Manuscript Submission Information

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