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- Churilov, Alexander N., et al.
(author)
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An impulse-to-impulse discrete-time mapping for a time-delay impulsive system
- 2014
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In: Automatica. - : Elsevier BV. - 0005-1098 .- 1873-2836. ; 50:8, s. 2187-2190
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Journal article (peer-reviewed)abstract
- It is shown that an impulsive system with a time-delay in the continuous part can be equivalently represented by discrete dynamics under less restrictive conditions on the time-delay value than considered previously.
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- Yamalova, Diana, et al.
(author)
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Hybrid state observer with modulated correction for periodic systems under intrinsic impulsive feedback
- 2013
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Conference paper (peer-reviewed)abstract
- A new observer structure for hybrid systems comprised of a linear time-invariant subsystem and immeasurable (intrinsic) impulsive feedback is suggested. It brings about significant improvements in the state estimation error settling time in comparison with that of an earlier considered static feedback observer by making use of the weighted output estimation error in the calculation of the discrete part of the observer.
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- Zhusubaliyev, Zhanybai T., et al.
(author)
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Bifurcation phenomena in an impulsive model of non-basal testosterone regulation
- 2012
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In: Chaos. - : AIP Publishing. - 1054-1500 .- 1089-7682. ; 22:1, s. 013121-
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Journal article (peer-reviewed)abstract
- Complex nonlinear dynamics in a recent mathematical model of non-basal testosterone regulation are investigated. In agreement with biological evidence, the pulsatile (non-basal) secretion of testosterone is modeled by frequency and amplitude modulated feedback. It is shown that, in addition to already known periodic motions with one and two pulses in the least period of a closed-loop system solution, cycles of higher periodicity and chaos are present in the model in hand. The broad range of exhibited dynamic behaviors makes the model highly promising in model-based signal processing of hormone data.
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- Zhusubaliyev, Zhanybai T., et al.
(author)
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Time Delay Induced Multistability and Complex Dynamics in an Impulsive Model of Endocrine Regulation
- 2014
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In: 2014 European Control Conference (ECC). - 9783952426913 ; , s. 2304-2309
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Conference paper (peer-reviewed)abstract
- The effects caused by the introduction of a time delay in the continuous part of an impulsive (hybrid) model of endocrine feedback regulation are studied by bifurcation analysis. It is concluded that larger (in some well-defined sense) values of the time delay give rise to a broad range of nonlinear dynamics phenomena that have not been observed for the smaller ones. Among such behaviors are e.g. border-collision bifurcations, bistability, and quasiperiodic solutions. The reason for the more complex dynamics exhibited by the model in this case is a discontinuity of the Jacobian of a discrete mapping describing the propagation of the model dynamics from one firing of the impulsive feedback to another.
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