Enhancement of stability of linear parabolic systems by static feedback

Enhancement of stability of linear parabolic systems by static feedback

Keywords----Stability enhancement, Static feedback scheine, Parabolic systems. i . I N T R O D U C T I O N In the last two decades, the s tudy of feedback stabilization for parabolic systems has gathered rauch attention from both mathematical and practical viewpoints. Let H be a Hilbert space equipped with the inner product {., "}H and the norm II • IIH. The control system with s ta te u is a d...

Pole Placement by Static Output Feedback for Generic Linear Systems

We consider linear systems withm inputs, p outputs and McMillan degree n, such that n = mp. If both m and p are even, we show that there is a non-empty open (in the usual topology) subset U of such systems, where the real pole placement map is not surjective. It follows that for each system in U , there exists an open set of pole configurations, symmetric with respect to the real line, which ca...

Invariance and Stability by State Feedback for Constrained Linear Systems

Exponential Stability of Linear Systems with Multiple Time Delays

In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...

control of the optical properties of nanoparticles by laser fields

در این پایان نامه، درهمتنیدگی بین یک سیستم نقطه کوانتومی دوگانه(مولکول نقطه کوانتومی) و میدان مورد مطالعه قرار گرفته است. از آنتروپی ون نیومن به عنوان ابزاری برای بررسی درهمتنیدگی بین اتم و میدان استفاده شده و تاثیر پارامترهای مختلف، نظیر تونل زنی(که توسط تغییر ولتاژ ایجاد می شود)، شدت میدان و نسبت دو گسیل خودبخودی بر رفتار درجه درهمتنیدگی سیستم بررسی شده اشت.با تغییر هر یک از این پارامترها، در...