We consider a vibrating string that is fixed at one end with Neumann control action at the other end. We investigate the optimal control problem of steering this system from given initial data to rest, in time T , by minimizing an objective functional that is the convex sum of the L-norm of the control and of a boundary Neumann tracking term. We provide an explicit solution of this optimal cont...

This paper presents simple sufficient conditions under which optimal bunches in adverse-selection principal-agent problems can be characterized without using optimal control theory.

We introduce the idea of boundary extremals (3.9) in control problems for simple fluid models of queueing systems with Skorokohd dynamics, using the robust formulation of [2, 4]. A simple example is presented in which these extremals play a fundamental role in the construction of the optimal control strategy.

This paper presents simple sufficient conditions under which optimal bunches in adverse-selection principal-agent problems can be characterized without using optimal control theory.

Follow this and additional works at: http://engagedscholarship.csuohio.edu/enme_facpub Part of the Aerospace Engineering Commons, and the Mechanical Engineering Commons Publisher's Statement NOTICE: this is the author’s version of a work that was accepted for publication in Automatica. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formattin...

Abstract: In this paper, conditions of the chaos in auto gauge control system are suggested and proved on the basis of the roll eccentricity model. It is proposed that the eccentricity disturbance of roll may cause chaotic phenomena in the rolling process. By analyzing four kinds of expandable and shrinkable factors of variable universe fuzzy controller, it is suggested that the contradiction b...