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Analytic Solution of the Time-Optimal Control of a Double Integrator from an Arbitrary State to the State-space Origin

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arxiv 1909.03192 v1 pith:STQJWXKO submitted 2019-09-07 math.OC cs.SYeess.SYmath.DS

Analytic Solution of the Time-Optimal Control of a Double Integrator from an Arbitrary State to the State-space Origin

classification math.OC cs.SYeess.SYmath.DS
keywords arbitrarycontroldoubleintegratorminimum-timenoteoriginproblem
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This brief note presents known results about the minimum-time control of a double integrator system from an arbitrary initial state to the state-space origin (minimum-time regulation problem, or special problem). The main purpose of this note is didactical. Results are presented in all details and following a step by step procedure.

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