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A Solution Technique for Solving Control Problems of Evolution Equations

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CONTRIBUTORS:
  Author Mathew A. IBIEJUGBA
  Author Oludayo O. OLUGBARA
JOURNAL:
  Leonardo Journal of Sciences, 6(11), 123 - 136.
YEAR: 2007
PUB TYPE: Journal Article
SUBJECT(S): Evolution Equations; Quadratic Cost Control Problems; Semigroup; Riccati Equation; Euler-Lagrange Equations
DISCIPLINE: Mathematics
HTTP: http://ljs.academicdirect.org/A11/123_136.htm
LANGUAGE: English
PUB ID: 103-439-846 (Last edited on 2008/01/06 03:59:13 US/Mountain)
SPONSOR(S):
 
ABSTRACT:
A new optimal solution technique for solving the control problem for evolution equations is established. Since it is well known from empirical studies established in theory that the rate of convergence of most penalty function methods deteriorates as the penalty constant tends to infinity in an attempt to meet the requirement for closer constraint satisfaction, a semigroup based technique is what we find as a convenient tool to confirm this result. Furthermore, we use the Euler-Lagrange technique to provide a basis for comparison of our results. Our findings are quite comparable with the results obtained from the Euler-Lagrange analysis.
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