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Γ ‐Finite‐time stabilization of continuous‐time systems with optimal performance
Author(s) -
Jin Nana,
Xu Juanjuan,
Zhang Huanshui
Publication year - 2020
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2693
Subject(s) - interval (graph theory) , control theory (sociology) , optimal control , mathematics , control (management) , mathematical optimization , computer science , artificial intelligence , combinatorics
In this article, we are concerned with the Γ ‐finite‐time stabilization ( Γ ‐FTS) with optimal performance for the continuous‐time system. The definition of Γ ‐FTS is first proposed. The main contribution is to give the equivalent conditions for the open‐loop solvability and sufficient conditions for the closed‐loop solvability of the Γ ‐FTS problem with optimal performance for the finite‐time interval. Moreover, we show that the irregular optimal control problem is solvable under the Γ ‐FTS of a specific system.