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Candidate
Yingqi Li | Applied Mathematics, University of Waterloo
Title
Impulsive Switched Neutral Systems with Time Delay
Abstract
Impulsive differential equations serve as ideal mathematical models for impulsive systems which have widespread applications in orbital transfer of satellites, impact and constrained mechanics, sampled-data systems, inspection processes in operations research, and ecosystem management. There has been an increasing interest in the study of switching systems in recent years due to their application in many applied fields such as quality control, secure communication, and chemical processing. On the other hand, a class of equations depends on past as well as present values but which involve derivatives with delays as well as the function itself. Such equations historically have been referred to as neutral functional differential equations. In recent years, the problem of neutral systems has received considerable attention. To the best of our knowledge, it seems to us that few people have studied the impulsive Switched Neutral Systems with Time Delay. With the motivation from the interesting and important applications and the research status, our goal is study the basic theory of impulsive Switched Neutral Systems.