On local and global controllability

Notes on Local Controllability

The first part of these notes is a motivating example which justifies, apart from pure intellectual curiosity, our desire to delve into the details of Sussmann’s local controllability results presented in [2]. The following sections then summarize various results in the paper. Possibly the hardest part of reading Sussmann’s paper is keeping track of all the notation. The Appendix presents a lis...

Control Variations and Local Controllability

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Fasting and diabetes from a local and global perspective- commentary

  Fasting is a common practice among people with diabetes (PWD). As healthcare providers we are in a position to assist those who choose to fast to manage their diabetes effectively. Diabetes self-management education for PWD is needed both prior and during the time of fasting to best metabolic control.  

On the Global Controllability of Hybrid Systems: Hybrifolds and Fountains.'

In this paper we investigate the question of the global controllability posed for a class of control hybrid systems. New sufficient conditions for the global controllability are obtained in terms of the so-called hybrid fountains. The main tool for our analysis is the notion of a controlled hybrifold.