The problem of optimal control for nonlinear systems with variable structure, delays and piecewise continuous prehistory.
Kharatishvili, Guram L., Tadumadze, Tamaz A. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Kharatishvili, Guram L., Tadumadze, Tamaz A. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Tsintsadze, Zurab A. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Mohamad Jamshidi, Mohsen Razzaghi (1975)
Kybernetika
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Przemysław Ignaciuk (2021)
Kybernetika
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In order to achieve a short regulation cycle, time-optimal control has been considered in the past. However, the sensitivity to errors and uncertainties, and implementation difficulties in the practical systems, have incited other research directions to meet this objective. In this paper, soft Variable Structure Control (VSC) is analyzed from the perspective of linear time-delay systems with input constraint. The desired fast convergence under a smoothly varying control signal is obtained....
Tadumadze, T., Gelashvili, K. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Mohsen Razzaghi, M. F. Habibi, R. Fayzebakhsh (1995)
Kybernetika
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Atle Seierstad (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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Optimal nonanticipating controls are shown to exist in nonautonomous piecewise deterministic control problems with hard terminal restrictions. The assumptions needed are completely analogous to those needed to obtain optimal controls in deterministic control problems. The proof is based on well-known results on existence of deterministic optimal controls.