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On the minimax approach in a singularly perturbed control problem. / Myshkov, Stanislav.
2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. ed. / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. 7973993.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - On the minimax approach in a singularly perturbed control problem
AU - Myshkov, Stanislav
PY - 2017/7/10
Y1 - 2017/7/10
N2 - The linear-quadratic singular perturbed control problem is considered. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is discussed and thereby the discrete minimax problem is solved. The presence of regular and singular perturbations in the dynamics is the main difference between this paper and previous works. Two illustrative examples are considered.
AB - The linear-quadratic singular perturbed control problem is considered. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is discussed and thereby the discrete minimax problem is solved. The presence of regular and singular perturbations in the dynamics is the main difference between this paper and previous works. Two illustrative examples are considered.
UR - http://www.scopus.com/inward/record.url?scp=85027439349&partnerID=8YFLogxK
U2 - 10.1109/CNSA.2017.7973993
DO - 10.1109/CNSA.2017.7973993
M3 - Conference contribution
AN - SCOPUS:85027439349
BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
A2 - Polyakova, L. N.
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 Constructive Nonsmooth Analysis and Related Topics
Y2 - 22 May 2017 through 27 May 2017
ER -
ID: 37604593