Abstract
In Chap. 10, new synchronization and state estimation problems are considered for an array of coupled discrete time-varying stochastic complex networks over a finite horizon. A novel concept of bounded H ∞ synchronization is proposed to handle the time-varying nature of the complex networks. By utilizing a time-varying real-valued function and the Kronecker product, criteria are established that ensure the bounded H ∞ synchronization in terms of a set of recursive linear matrix inequalities (RLMIs). The bounded H ∞ state estimation problem is then studied for the same complex network, where the purpose is to design a state estimator to estimate the network states through available output measurements such that, over a finite-horizon, the dynamics of the estimation error is guaranteed to be bounded with a given disturbance attenuation level. Again, an RLMI approach is developed for the state estimation problem.
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© 2013 Springer-Verlag London
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Shen, B., Wang, Z., Shu, H. (2013). Bounded H ∞ Synchronization and State Estimation for Complex Networks. In: Nonlinear Stochastic Systems with Incomplete Information. Springer, London. https://doi.org/10.1007/978-1-4471-4914-9_10
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DOI: https://doi.org/10.1007/978-1-4471-4914-9_10
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4913-2
Online ISBN: 978-1-4471-4914-9
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