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Many of us may have experienced how time delays in dynamical systems can create confusing effects on system behavior. Such systems are found in many applications in engineering, physics, and operations research, and even in daily life. In this talk, I will first give an overview of such applications...

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Bibliographic Details
Main Authors: Sipahi, Rifat, Hahn, Ricardo G., Quevedo, Manuel, Rajsbaum, Sergio, Duarte Mermou, Manuel A., Kwon, Victor
Format: Conference Proceeding
Language:English
Subjects:
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Summary:Many of us may have experienced how time delays in dynamical systems can create confusing effects on system behavior. Such systems are found in many applications in engineering, physics, and operations research, and even in daily life. In this talk, I will first give an overview of such applications, and present how the presence of delays may impact real-world systems. Next, I will discuss the effects of delays, both detrimental and sometimes beneficial to dynamic behavior, and argue that consideration of delays in system modeling is essential for properly controlling such systems; otherwise the consequences could be catastrophic. I will then summarize the underlying mathematics of the associated stability theory, and next look into some fundamental control problems with delays, via linear systems theory, in order to gain qualitative insight about how delays affect stability and the ability to control. I will conclude my talk with observations, existing challenges in the field, and upcoming trends.
DOI:10.1109/ICEEE.2012.6421130