ON OPTIMAL CONTROL OF THE VIBRATING STRING,

Abstract

The problem of minimization of total energy of the vibrating string in a given time is investigated. The boundary value control with constrained magnitude is considered. It is shown that this optimal control problem is equivalent to the determining of the minimum of some integral functional subject to constraints on the magnitude of the argument. The form of the optimal control function is characterized. It turns out that, in general, an optimal control of bang-bang type does not exist and the magnitude of the optimal control function is equal to the constraints only on some subintervals of the interval of control. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0691856

Entities

People

  • Kazimierz Malanowski

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Integrals
  • Intervals

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Robotics and Automation.