Abstract
In this paper, three kinds of turnpike properties for optimal relaxed control problems are considered. Under some convexity and controllability assumptions, we obtain the uniform boundedness of the optimal pairs and the adjoint functions. On the basis, we prove the integral turnpike property, the mean square turnpike property and the exponential turnpike property, respectively.
Funder
National Natural Science Foundation of China
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Reference17 articles.
1. Abou-Kandil H.,
Freiling G.,
Ionescu V. and
Jank G.,
Matrix Riccati Equations in Control and Systems Theory.
Birkhäuser,
Basel
(2003).
2. Carlson D.A.,
Haurie A. and
Leizarowitz A.,
Infinite Horizon Optimal Control: Deterministic and Stochastic Systems.
Springer-Verlag,
Berlin
(1991).
3. An Exponential Turnpike Theorem for Dissipative Discrete Time Optimal Control Problems
4. Dorfman R.,
Samuelson P.A. and
Solow R.M.,
Linear Programming and Economics Analysis.
McGraw-Hill,
New York
(1958).
5. On turnpike and dissipativity properties of continuous-time optimal control problems
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