Pareto optimality for nonlinear infinite dimensional control systems

Nonlinear, Dissipative, Infinite Dimensional Systems

infinite dimensional garch models

مدلهای گارچ در فضاهای هیلبرت پایان نامه حاضر شامل دو بخش می باشد. در قسمت اول مدلهای اتورگرسیو تعمیم یافته مشروط به ناهمگنی واریانس در فضاهای هیلبرت را معرفی، مفاهیم ریاضی مورد نیاز در تحلیل این مدلها در دامنه زمان را مطرح کرده و آنها را مورد بررسی قرار می دهیم. بر اساس پیشرفتهایی که اخیرا در زمینه تئوری داده های تابعی و آماره های عملگری ایجاد شده است، فرآیندهایی که دارای مقادیر در فضاهای ...

Boundary Control of Some Infinite Dimensional Systems

We will consider the feedback stabilization of a class of in£nite dimensional systems by using boundary control, i.e. control inputs are applied at the boundaries of such systems. Such systems usually possess an internal energy, and along their solutions a conservation of energy equation hold. By utilizing this relation, we will prove various stability results. We will also give an example on t...

Event-triggered Control of Infinite-dimensional Systems

We consider the event-triggered control of continuous-time linear infinite-dimensional systems. We show that an event trigger that measures the difference of a control input leads to the positive minimum inter-event time if a feedback operator is compact. Moreover, under certain natural assumptions on the infinite-dimensional system, we show that there exists an event trigger such that the clos...

Pareto-optimality of Compromise Decisions Pareto-optimality of Compromise Decisions

This paper deals with the problem of existence of compromise decisions and conditions for a compromise decision to be weakly Pareto-optimal, i.e., to be a weak Pareto-maximizer, Pareto-maximizer, or strong Pareto-maximizer. The concept of compromise decision is generalized by adopting triangular norms. Further, a concept of fuzzy interval is introduced. Suucient conditions for the existence of ...