Eigenseries solutions to optimal control problem and controllability problems on hyperbolic PDES

Hee Dae Kwon, Jeehyun Lee, Sung Dae Yang

Research output: Contribution to journalArticle

Abstract

A terminal-state tracking optimal control problem for linear hyperbolic equations with distributed control is studied in this paper. An analytic solution formula for the optimal control problem is derived in the form of eigenseries. We show that the optimal solution satisfies the approximate controllability property. An explicit solution formula for the exact controllability problem is also expressed by the eigenseries formula when the target state and the controlled state have matching boundary conditions. We demonstrate by numerical simulations that the optimal solutions expressed by the series formula approach the target functions.

Original languageEnglish
Pages (from-to)305-325
Number of pages21
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume13
Issue number2
DOIs
Publication statusPublished - 2010 Mar 1

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Controllability
Optimal Control Problem
Optimal Solution
Linear Hyperbolic Equation
Approximate Controllability
Exact Controllability
Target
Distributed Control
Tracking Control
Explicit Solution
Analytic Solution
Boundary conditions
Computer simulation
Numerical Simulation
Series
Demonstrate

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

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Eigenseries solutions to optimal control problem and controllability problems on hyperbolic PDES. / Kwon, Hee Dae; Lee, Jeehyun; Yang, Sung Dae.

In: Discrete and Continuous Dynamical Systems - Series B, Vol. 13, No. 2, 01.03.2010, p. 305-325.

Research output: Contribution to journalArticle

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