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Stability and dissipativity analysis of distributed delay cellular neural networks

Journal Article


Abstract


  • In this brief, the problems of delay-dependent stability analysis and strict Q,S,R α-dissipativity analysis are investigated for cellular neural networks (CNNs) with distributed delay. First, by introducing an integral partitioning technique, two new forms of LyapunovKrasovskii functionals are constructed, and improved distributed delay-dependent stability conditions are established in terms of linear matrix inequalities. Based on this criterion, a new sufficient delay and α-dependent condition is given to guarantee that the CNNs with distributed delay are strictly Q, S, R α-dissipative. The results developed in this brief can tolerate larger allowable delay than existing ones in the literature, which is demonstrated by several examples. © 2011 IEEE.

Publication Date


  • 2011

Citation


  • Feng, Z., & Lam, J. (2011). Stability and dissipativity analysis of distributed delay cellular neural networks. IEEE Transactions on Neural Networks, 22(6), 976-981. doi:10.1109/TNN.2011.2128341

Scopus Eid


  • 2-s2.0-79957975572

Web Of Science Accession Number


Start Page


  • 976

End Page


  • 981

Volume


  • 22

Issue


  • 6

Abstract


  • In this brief, the problems of delay-dependent stability analysis and strict Q,S,R α-dissipativity analysis are investigated for cellular neural networks (CNNs) with distributed delay. First, by introducing an integral partitioning technique, two new forms of LyapunovKrasovskii functionals are constructed, and improved distributed delay-dependent stability conditions are established in terms of linear matrix inequalities. Based on this criterion, a new sufficient delay and α-dependent condition is given to guarantee that the CNNs with distributed delay are strictly Q, S, R α-dissipative. The results developed in this brief can tolerate larger allowable delay than existing ones in the literature, which is demonstrated by several examples. © 2011 IEEE.

Publication Date


  • 2011

Citation


  • Feng, Z., & Lam, J. (2011). Stability and dissipativity analysis of distributed delay cellular neural networks. IEEE Transactions on Neural Networks, 22(6), 976-981. doi:10.1109/TNN.2011.2128341

Scopus Eid


  • 2-s2.0-79957975572

Web Of Science Accession Number


Start Page


  • 976

End Page


  • 981

Volume


  • 22

Issue


  • 6