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Synthesis of time-optimal control of a second-order nonlinear process

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Abstract

The time-optimal control of a soft spring is discussed. The domain of controllability and the switching locus are described. It is shown that the switching locus changes in a discontinuous manner as the nonlinearity varies continuously.

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References

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Communicated by G. Leitmann

This research was partially supported by the Joint Services Electronics Program, Grant No. (4711) N00014-67-A-0226 ARPA 1129, and by NASA, Grant No. NGR 15-005-021.

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Boettiger, A., Haas, V.B. Synthesis of time-optimal control of a second-order nonlinear process. J Optim Theory Appl 4, 22–39 (1969). https://doi.org/10.1007/BF00928714

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  • DOI: https://doi.org/10.1007/BF00928714

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