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Tunable IR laser pulses from a 10 Hz Nd YAG (Surelite III EX) pumped OPO/OPA system (LaserVision, 5 ns FWHM, 3 cm-1 bandwidth) were coupled into the approaching ion packet at a time delay synchronized with the pulsed ion source.
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By using some novel analysis techniques, Kronecker product and Lyapunov functional candidate, some delay-distribution-dependent conditions are derived to ensure that the discrete-time complex network with randomly coupling and distributed time-varying delay is synchronized in mean square.
The high-rate inertial measurements are delayed and synchronized with the GNSS measurements in the state observer.
Under Assumptions -, the discrete-time complex networks with randomly coupling and distributed time-varying delays are synchronized in mean square, if there exist positive definite matrices and diagonal matrices with appropriate dimensions such that the following matrix inequalities hold: (3..3).
Under assumptions -, the discrete-time complex networks with distributed time-varying delays is synchronized in mean square, if there exist positive definite matrices and diagonal matrices with appropriate dimensions such that the following matrix inequalities hold: (3..22).
Under Assumptions -, the discrete-time complex networks with randomly distributed time-varying delays are synchronized in mean square, if there exist positive definite matrices and diagonal matrices with appropriate dimensions such that the following matrix inequalities hold: (3..21).
Sprays of guitar emerge briefly, like thumbs in your eye; analog keyboards, run through various filters, shimmer and vibrate; delay loops synchronize with drum beats.
It can be observed from Figure 2 that the discrete-time complex networks with randomly occurring coupling and stochastic distributed time-varying delay can be synchronized in mean square.
Qualitative properties of delay-dependent synchronizing regions and implications for control design are discussed.
Delay-dependent synchronizing region is defined and methods are given guaranteeing its estimates.
Finally, the simulation results reveal that the states of the dynamical network with non-delay and delay coupling can be asymptotically synchronized onto a desired scaling under the designed controller.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com