Perturbation Analysis of Singular Semidefinite Programs and Its Applications to Control Problems

Perturbation Analysis of Singular Semidefinite Program and Its Application to a Control Problem

We consider the sensitivity of semidefinite programs (SDPs) under perturbations. It is well known that the optimal value changes continuously under perturbations on the right hand side in the case where the Slater condition holds in the primal problems. In this manuscript, we observe by investigating a concrete SDP that the optimal value can be discontinuous if the dual problem is not strictly ...

Dynamic surface control via singular perturbation analysis

This note contributes to the technical nature of dynamic surface control (DSC) based on a class of strict-feedback nonlinear systems. The DSC technique prevents the complexity problem in integrator backstepping control (IBC). Yet, the stability results obtained by existing DSCs are conservative, and consequently, cannot fully reveal the technical nature of DSC. By the exploitation of the singul...

Singular Perturbation of Optimal Control Problems on MultiDomains

The goal of this paper is to study a singular perturbation problem in the framework of optimal control on multi-domains. We consider an optimal control problem in which the controlled system contains a fast and a slow variables. This problem is reformulated as an Hamilton-JacobiBellman (HJB) equation. The main difficulty comes from the fact that the fast variable lives in a multi-domain. The ge...

petrology and geochemistry of khar-bash (western shahrood) and its relation ship to iron mineralization

منطقه مورد مطالعه در 23 کیلومتری جنوب غرب شهرستاشاهرود قرار دارد که در نقشه 100000/1 شاهرود قرار گرفته است.ناحیه مورد مطالعه در تقسیمات ساختاری ایران بخشی از زون البرز شرقی است . در طی سنوزوئیک این زون به شدت تحت تأثیر فازهای کوهزایی آلپی قرار گرفته و فعالیت های آتشفشانی انوسن در قسمت های غربی آن دیده می شود . از نظر ترکیب سنگ شناسی منطقه مورد مطالعه متنوع و بیشتر شامل سنگ های رسوبی مانند : آ...

A new Approach to the Multi-Objective Control of Linear Singular Perturbation Systems