The Absolute Stability Of Lurie Delay Systems

It is known that Lurie control system is a class of very typical nonlinear control system, which has widely engineering background of the domain of aircraft control and aviation control etc. Because of the characteristic of nonlinear, uncertainty and time -delay etc, the study to Lurie control system takes on very complex peculiarity. Many scholars have studied in this field and got lots of considerable research efforts. However, there are still some problems when deal with delay-dependent, the conservations of them are not good enough.There are four chapters in the thesis. In the first chapter, we summarize the research background and significance of the problem, and introduce it's research actuality in and abroad. In the second and third chapter, we introduce the basic concept of Lurie control system and some basic theories. In the fourth chapter, using norm inequality and Lyapunov functional method, we study the problem of absolute stability of timedelay systems. We use time-delay dependent with sector-bounded area and get a absolute stability criteria of this system in terms of linear matrix inequality (LMI); as to the uncertain system, absolute stability criteria is given by the meaning of polytopic uncertainty; we are also get absolute stability criteria in the condition of decentralized sector. Then systems with multi-nonlinear restrict and with multi-time-delay are addressed, and absolute stability criteria of them are presented. Finally, numerical example has shown improvement s over some existing result.