Application of passification method to controlled synchronization of tree networks under information constraints

Fradkov, Alexander L.; Andrievsky, Boris

doi:10.1109/cca.2009.5281024

Cited by 2 publications

(1 citation statement)

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“…It is shown that for first-order coder-decoder scheme the upper bound of limit synchronization error is proportional to the maximum rate of the coupling signal and inversely proportional to the information transmission rate (channel capacity) [32]. The analysis is extended to networks having a chain, star, or star-chain topology [33], [35] and to adaptive observerbased synchronization systems [34]. In [36] the controlled synchronization problem is analyzed by quadratic Lyapunov functions and Passification method [37]- [39].…”

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confidence: 99%

State estimation of passifiable lurie systems via limited-capacity communication channel

Fradkov

Andrievsky

2009

2009 35th Annual Conference of IEEE Industrial Electronics

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State estimation problems for a class of nonlinear oscillatory systems under information constraints imposed by limited capacity of the communication channel are analyzed. A binary time-varying coder-decoder scheme is described and a theoretical analysis for state estimation for nonlinear plants represented in Lurie form (linear part plus nonlinearity depending only on measurable outputs) based on the Passification Theorem is provided. It is shown that the estimation error exponentially tends to zero for sufficiently high transmission rate (channel capacity). The results are illustrated by example of state estimation of chaotic Chua system via a communication channel with limited capacity.

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