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Variational control problems for linear differential systems with Stieltjes boundary conditions

Published online by Cambridge University Press:  17 February 2009

S. K. Ng
Affiliation:
Department of Mathematics, Science Centre, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
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Necessary and sufficient conditions for optimality in the control of linear differential systems ẋ = Ax + Bu with Stieltjes boundary conditions , where ν is an r × n matrix valued measure of bounded variation, are obtained, Feedback-like control is given in the case of quadratic performance.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1978