Dynamics of Controlled Mechanical Systems with Delayed Feedback

By H. Hu, Z. Wang, DB Schaechter. 2002

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Estimates of the bistable region in metal cutting (2008, positive): “Note that the frequencies of the corresponding self-excited vibrations are all larger than the natural frequency of the system, that is, 1 ω . The lobe structure in Figure 3(a) is typical for delayed oscillators (see Hu & Wang 2002, Kyrychko et al. 2006).”
Delay independent stability of linear switching systems with time delay (2008, background): “This is especially important for control systems where actuators, sensors and transmission lines may introduce time lags [12], and biological systems where there are large time delays associated with population growth of a species, transmission of disease [13], and learning process [14].”
Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods (2004, methodology): “A genuine nonlinear dependence on the eigenparameter appears in dynamic element methods when using non–polynomial ansatz functions [74] or in the stability analysis of vibrating systems under state delay feedback control [37, 38].”
Stability of a class of linear switching systems with time delay (2006, background): “This is especially important for control systems where actuators, sensors and transmission lines may introduce time lags [15].”