Synchronization of nonlinear systems under information constraints.
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TL;DR: A brief survey of control and synchronization under information constraints (limited information capacity of the coupling channel) is given and it is shown that the upper bound of the limit synchronization error (LSE) is proportional to the upper Bound of the transmission error.
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Abstract: A brief survey of control and synchronization under information constraints (limited information capacity of the coupling channel) is given. Limit possibilities of nonlinear observer-based synchronization systems with first-order coders or full-order coders are considered in more detail. The existing and new theoretical results for multidimensional drive-response Lurie systems (linear part plus nonlinearity depending only on measurable outputs) are presented. It is shown that the upper bound of the limit synchronization error (LSE) is proportional to the upper bound of the transmission error. As a consequence, the upper and lower bounds of LSE are proportional to the maximum coupling signal rate and inversely proportional to the information transmission rate (channel capacity). The analysis is extended to networks having a “chain,” “star,” or “star-chain” topology. Adaptive chaotic synchronization under information constraints is analyzed. The results are illustrated by example: master-slave synchronization of two chaotic Chua systems coupled via a channel with limited capacity.
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Citations
A dynamical control view on synchronization
Henk Nijmeijer
- 01 Jan 2000
TL;DR: In this article, the synchronization of complex/chaotic systems is reviewed from a dynamical control perspective and it is shown that notions like observer and feedback control are essential in the problem of how to achieve synchronization between two systems on the basis of partial state measurements of one of the systems.
108
Control and estimation under information constraints: Toward a unified theory of control, computation and communications
TL;DR: An attempt is made to overview an emerging area of research devoted to analysis and design of control systems under constraints caused by limited information capacity of communication channels.
104
Estimation and Control Under Information Constraints for LAAS Helicopter Benchmark
TL;DR: Experimental results for pitch motion control of the “Helicopter” are presented, showing efficiency of the proposed method for state estimation and control under information constraints.
59
Synchronization of passifiable Lurie systems via limited capacity communication channel
Alexander L. Fradkov,Boris Andrievsky,Robin J. Evans +2 more
- 01 Dec 2008
TL;DR: It is shown that the synchronization error exponentially tends to zero for sufficiently high transmission rate (channel capacity) and an output feedback control law is proposed based on the Passiflcation Theorem.
33
Robust synchronization in nonlinear network with link failure uncertainty
Amit Diwadkar,Umesh Vaidya +1 more
- 01 Dec 2011
TL;DR: The main results of this paper provide, for the first time, analytical conditions for the maximum tolerable link failure uncertainty to maintain mean square synchronization among the network components.
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