Comparison between continuous and discrete methods of dynamical control

Igor A. Khovanov; Natalia A. Khovanova; Elena V. Grigorieva; Dmitri Georgivich Luchinsky; Peter V. E. McClintock

doi:10.1117/12.610461

23 May 2005 Comparison between continuous and discrete methods of dynamical control (Invited Paper)

Igor A. Khovanov, Natalia A. Khovanova, Elena V. Grigorieva, Dmitri Georgivich Luchinsky, Peter V. E. McClintock

Proceedings Volume 5845, Noise in Complex Systems and Stochastic Dynamics III; (2005) https://doi.org/10.1117/12.610461
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

A direct comparison between continuous and discrete forms of analysis of control and stability is investigated theoretically and numerically. We demonstrate that the continuous method provides a more energy-efficient means of controlling the switching of a periodically-driven class-B laser between its stable and unstable pulsing regimes. We provide insight into this result using the close correspondence that exists between the problems of energy-optimal control and the stability of a steady state.

Citation Download Citation

Igor A. Khovanov, Natalia A. Khovanova, Elena V. Grigorieva, Dmitri Georgivich Luchinsky, and Peter V. E. McClintock "Comparison between continuous and discrete methods of dynamical control (Invited Paper)", Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); https://doi.org/10.1117/12.610461

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