One New Property of a Class of Linear Time-Optimal Control Problems

Borislav Penev ()
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Borislav Penev: Department of Control Systems, Faculty of Electronics and Automatics, Technical University—Sofia, Branch Plovdiv, 4000 Plovdiv, Bulgaria

Mathematics, 2023, vol. 11, issue 16, 1-14

Abstract: The following paper deals with a new property of linear time-optimal control problems with real eigenvalues of the system. This property unveils the possibility of synthesizing the time-optimal control without describing the switching hyper-surfaces. Furthermore, the novel technique offers an alternative solution to the classic example of the time-optimal control of a double integrator system.

Keywords: time-optimal control; minimum time control; Pontryagin’s maximum principle; synthesis of optimal systems; linear systems; switching surface (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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