Faculty of Natural Sciences and Mathematics
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Item type:Publication, Variable-delay feedback control of unstable steady states in retarded time-delayed systems(2010-01); Urumov, VWe study the stability of unstable steady states in scalar retarded time-delayed systems subjected to a variable-delay feedback control. The important aspect of such a control problem is that time-delayed systems are already infinite-dimensional before the delayed feedback control is turned on. When the frequency of the modulation is large compared to the system's dynamics, the analytic approach consists of relating the stability properties of the resulting variable-delay system with those of an analogous distributed-delay system. Otherwise, the stability domains are obtained by a numerical integration of the linearized variable-delay system. The analysis shows that the control domains are significantly larger than those in the usual time-delayed feedback control, and that the complexity of the domain structure depends on the form and the frequency of the delay modulation. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Delayed feedback control of unstable steady states with high-frequency modulation of the delay(2013-09); - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Numerical solution and chaotic dynamics of fractional order Lorentz and Chen systems(2019);