ArticleCognitive neurodynamics2015
Power-rate synchronization of coupled genetic oscillators with unbounded time-varying delay.
Article in Cognitive neurodynamics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Visual synchronization of two 3-variable Lotka-Volterra oscillators based on DNA strand displacement.RSC advances · 2018Article
- Global asymptotic stability of complex-valued neural networks with additive time-varying delays.Cognitive neurodynamics · 2017Article
- Event-based exponential synchronization of complex networks.Cognitive neurodynamics · 2016Article
- Delay decomposition approach to [Formula: see text] filtering analysis of genetic oscillator networks with time-varying delays.Cognitive neurodynamics · 2016Article
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5 authors.
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Abstract
In this paper, a new synchronization problem for the collective dynamics among genetic oscillators with unbounded time-varying delay is investigated. The dynamical system under consideration consists of an array of linearly coupled identical genetic oscillators with each oscillators having unbounded time-delays. A new concept called power-rate synchronization, which is different from both the asymptotical synchronization and the exponential synchronization, is put forward to facilitate handling the unbounded time-varying delays. By using a combination of the Lyapunov functional method, matrix inequality techniques and properties of Kronecker product, we derive several sufficient conditions that ensure the coupled genetic oscillators to be power-rate synchronized. The criteria obtained in this paper are in the form of matrix inequalities. Illustrative example is presented to show the effectiveness of the obtained results.
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