أعضاء هيئة التدريس - جامعة بنها
Fundamentals of fractional‐order LTI circuits and systems: number of poles, stability, time and frequency responses
International Journal of Circuit Theory and Applications • 2016
معلومات البحث
المؤلفون
M.S. Semary, A. G. Radwan, H.N. Hassan
الكلمات المفتاحية
Not Available
المجلة العلمية
International Journal of Circuit Theory and Applications
الناشر
Not Available
المجلد
44
العدد
12
الصفحات
2114-2133
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
This paper investigates some basic concepts of fractional-order linear time
invariant systems related to their physical and non-physical transfer functions, poles,
stability, time domain, frequency domain, and their relationships for different fractional-order
differential equations. The analytical formula that calculates the number of poles in physical
and non-physical s-plane for different orders is achieved and verified using many practical
examples. The stability contour versus the number of poles in the physical s-plane for
invariant systems related to their physical and non-physical transfer functions, poles,
stability, time domain, frequency domain, and their relationships for different fractional-order
differential equations. The analytical formula that calculates the number of poles in physical
and non-physical s-plane for different orders is achieved and verified using many practical
examples. The stability contour versus the number of poles in the physical s-plane for