Time‐Delay Systems: Modeling, Analysis, Estimation, Control, and Synchronization
Olfa Boubaker, Valentina Emilia Bălaş, Abdellah Benzaouia, Mohamed Amine Chaâbane, Magdi S. Mahmoud, Quanmin Zhu · Mathematical Problems in Engineering · 2017
The subject of time-delay systems is a rather old research topic dating back to the works of Euler-Bernoulli in the XVIII century.Effective results in this area were initiated in the late fifties of the twentieth century since the works of Krasovskii and Razumikhin on the Lyapunov functions.However the significant progression in this area has been made during the last decade where numerous books, research, and survey papers and special issues have been devoted.Delay is not just a mathematical exercise but more importantly is rooted in many natural and man-made systems such as biology, processes industries, and mechatronic motions.In engineering applications, time-delays generally describe propagation phenomena, material or energy transfer in intercommoned systems, and data transmission in communication systems.They have been the main sources inducing oscillations, instability, and poor control performances.Stability analysis and robust control of such systems are then of theoretical and practical importance.Much effort in the analysis and synthesis of these systems has been dedicated to delay-dependent and delay-independent issues based both/either on Lyapunov methods and/or frequency domain techniques.However, it should be noted that there are still numerous challenging issues pending in many classes of time-delay systems.