اجماع زمان ثابت در سامانه‌هاي چند کارگزار تک انتگرال‌گیر مرتبه کسري
الموضوعات :
حسین زمانی
1
(دانشگاه تربیت مدرس)
وحيد جوهري مجد
2
(دانشگاه تربيت مدرس)
خسرو خانداني
3
(دانشگاه اراك)
الکلمات المفتاحية: کارگزارهای تک‌انتگرال‌گیر مرتبه کسری, سیستم چندکارگزاره, اجماع, همگرایی زمان ثابت,
ملخص المقالة :
در این مقاله، مسئله اجماع زمان ثابت در سامانه‌های چندکارگزار تک‌انتگرال‌گیر مرتبه کسری مورد مطالعه قرار گرفته است. اثر حافظه با استفاده از انتگرال و مشتق کسری ریمان- لیوویل در دینامیک کارگزاران در نظر گرفته شده و به منظور همگرایی کارگزاران، یک پروتکل کنترل مرتبه کسری مبتنی بر سیگنال خطای بین کارگزاران همسایه ارائه گردیده است. با استفاده از قضیه پایداری لیاپانوف، یک تابع لیاپانوف معرفی شده که نشان می‌دهد کارگزاران طی یک زمان نشست مشخص، همگرا شده و یک حد بالا برای آن زمان نشست تعیین می‌گردد. مزیت حد معرفی‌شده برای زمان نشست، وابسته‌نبودن آن به شرایط اولیه کارگزاران است. نهایتاً شبیه‌سازی‌هایی برای تأیید روش معرفی‌شده ارائه گردیده است.
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