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Singular optimal control problems in the design of vibrating structures

Authors
Journal
Journal of Sound and Vibration
0022-460X
Publisher
Elsevier
Publication Date
Volume
53
Issue
2
Identifiers
DOI: 10.1016/0022-460x(77)90468-0
Disciplines
  • Design
  • Mathematics

Abstract

Abstract It is shown that several recent publications dealing with the design of vibrating structures by optimal control theory have problem formulations corresponding to singular control problems. For such problems, the conditions of neither the maximum principle nor the classical variational theory provide adequate tests for optimality of the solution. The singular control formulation of these publications is acknowledged here for the first time and the optimality of the solutions is examined by using supplementary necessary conditions.

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