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

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Abstract

The paper deals with one new property of the linear time-optimal control problems with real eigenvalues of the system, no matter of the number of eigenvalue multiplicity. This property unveils a prospective of synthesizing the time-optimal control without the need of describing the switching hyper-surfaces. The already chrestomathy example of the time-optimal control of a double integrator is resolved by the new technique and compared with the classical synthesis.

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europepmc
last seen: 2026-05-19T01:45:01.086888+00:00