New Results on Delay-Dependent Stability Analysis and Stabilization of Time-Delay Systems

摘要: The interconnection between physical systems is accomplished by flow of information, energy and material, alternatively known as transport or propagation. As such flows may take a finite amount time, the reaction real world to exogenous feedback control signals, from automatic perspective, are not instantaneous. This results time-delays in connected real-world media. Indeed, examples time-delay span biology, ecology, economy, course, engineering. To this end, it that an arbitrary small delay destabilize stable system whereas, controller be used stabilize that otherwise stabilizable using delay-free controller. In general, presence makes dynamics infinite-dimensional, analysis complex.This thesis investigates stability stabilization systems. It proposes delay-decomposition approach for with single leads simple LMI condition Lyapunov-Krasovskii functional. Moreover, static state designed input-delay approach. Numerical comparison present vis-`a-vis existing ones constant considered shows superior. Next, PI-type implemented improve tolerable bound. Other problems analyze two delays. number delays incorporated increases, becomes further complex analysis.