Boundary control of a hyperbolic system with one space variable
- Authors: Romanovskii R.K.1, Medvedev Y.A.1
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Affiliations:
- Omsk State Technical University
- Issue: Vol 53, No 3 (2017)
- Pages: 345-351
- Section: Control Theory
- URL: https://journal-vniispk.ru/0012-2661/article/view/154310
- DOI: https://doi.org/10.1134/S0012266117030065
- ID: 154310
Cite item
Abstract
We consider a mixed problem in a half-strip for a hyperbolic system with one space variable and with constant coefficients. The control problem is to find boundary conditions ensuring that the system has a given state vector at a given instant of time. We study whether the problem is asymptotically solvable, i.e., whether there exists a sequence of boundary conditions such that the corresponding sequence of final state vectors uniformly converges to the given vector. We reduce the construction of a family of such sequences of boundary conditions with a function parameter to the solution of a Fredholm integral equation of the second kind and prove a sufficient condition for its unique solvability in terms of the problem data.
About the authors
R. K. Romanovskii
Omsk State Technical University
Author for correspondence.
Email: teslakun@gmail.com
Russian Federation, Omsk, 644050
Yu. A. Medvedev
Omsk State Technical University
Email: teslakun@gmail.com
Russian Federation, Omsk, 644050
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