Stability of dynamicalnetworks with non-identical nodes: A multiple V-Lyapunov function method
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Zhao, Jun; Hill, David; Liu, Tao
Description
Global asymptotic stability of general dynamical networks with non-identical nodes is studied by introducing multiple V-Lyapunov functions. In such a network, the coupling strength, inner coupling matrix and outer coupling matrix are all allowed to be state-dependent and nonlinear. A stability criterion is proposed in terms of matrix norms and eigenvalues of some lower-dimensional matrices. Based on this criterion, an optimization problem is formed whose solution can be used to test global...[Show more]
Collections | ANU Research Publications |
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Date published: | 2011 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/64740 |
Source: | Automatica |
DOI: | 10.1016/j.automatica.2011.09.012 |
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01_Zhao_Stability_of_dynamicalnetworks_2011.pdf | 631.71 kB | Adobe PDF | Request a copy |
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