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This paper deals with the problem of synchronization for delayed complex dynamical networks composed of uncertain Lur'e systems. Based on the absolute stability theory and a special decentralized control strategy, some sufficient conditions are derived such that the controlled complex dynamical network is synchronous for all admissible uncertainties. These synchronization criteria are dependent on...
In this paper, the global exponential stability is discussed for Cohen-Grossgerg neural network with time varying delays. On the basis of the linear matrix inequalities (LMIs) technique, and Lyapunov functional method combined with the Bellman inequality and Jensen inequality technique, we have obtained two main conditions to ensure the global exponential stability of the equilibrium point for this...
This paper concerns the problem of robust stability analysis for a polytopic system with interval time-varying delay via parameter-dependent Lyapunov functions. By a relaxation approach with slack matrices and a descriptor model transformation of the system, the product between Lyapunov variables and the system matrices is eliminated. With this feature, a delay-dependent robust stability criterion...
In this paper, the synchronization problem for dynamical complex networks composed of general Lur'e systems is dealt with. Based on the Jordan canonical transformation method and a Lur'e-Postnikov function, the global synchronization criteria for dynamical complex networks with non-symmetric coupling are established and formulated as LMI. A decentralized control strategy based on projection lemma...
In this paper several new criteria for states synchronization stability of general complex dynamical network are proposed based on the recently developed parallel differential (PD) eigenevalue and series differential (SD) eigenevalue theory. Using this theory, we present several new conditions for a general complex dynamical network model, which guarantee the synchronized states to be exponentially...
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