Minimal Time Impulse Control for a Class of Homogeneous Evolution Equations

Minimal Time Impulse Control for a Class of Homogeneous Evolution Equations

In this paper, we deal with a minimal time control problem for a class of homogeneous evolution equations with impulse controls. We provide a systematical method to study the existence, uniqueness and bang-bang property of optimal controls for the problem. Moreover, we also establish the continuous...

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Veröffentlicht in:Journal of dynamical and control systems 2024-09, Vol.30 (3), Article 29
Hauptverfasser: Lin, Guangxuan, Zeng, Biao
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of Variations and Optimal Control
Optimization
Continuity (mathematics)
Control
Dynamical Systems
Dynamical Systems and Ergodic Theory
Evolution
Mathematics
Mathematics and Statistics
Optimal control
Systems Theory
Time dependence
Time functions
Vibration
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Zusammenfassung:In this paper, we deal with a minimal time control problem for a class of homogeneous evolution equations with impulse controls. We provide a systematical method to study the existence, uniqueness and bang-bang property of optimal controls for the problem. Moreover, we also establish the continuous dependence of the optimal control by the continuity of the minimal time function of this problem with respect to the parameters.
ISSN:1079-2724
1573-8698
DOI:10.1007/s10883-024-09704-1