Advances in Study of Time-Delay Systems and Their Applications

Dear Colleagues,

In dynamical systems, delay as a generic part of industrial, communication, economical, biological, etc. processes represents a phenomenon that considerably affects their stability and dynamics. It, moreover, 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 been dealing with this task for almost a century, since the publishing of the famous work by Volterra (1928). Modern theory is confronted with higher and higher requirements for the quality and performance of control systems in the industry as well as in everyday reality, which can hardly be done by conventional methods. More in-depth knowledge of the controlled delayed systems is a necessary prerequisite to meeting these goals.

This Special Issue in Mathematics is focused on recent developments concerning various approaches to time-delay systems analysis and control design. Papers on system stability and dynamics analysis are solicited, 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 welcome as well. Special attention will be given to delays of neutral types and systems given by algebraic-differential equations; however, systems with retarded delays are acceptable as well. Modern control methods and their applications also fall within the scope of this Special Issue, including 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 both their quality and relevance to the scope of this Special Issue.

Dr. Libor Pekař
Dr. Radek Matušů
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the Special Issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.