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New results on stability of fuzzy time-varying delayed systems

Conference Paper


Abstract


  • This paper is concerned with analyzing stability of Takagi-Sugeno (T-S) fuzzy systems with timevarying delay. A Lyapunov functional with triple integral terms is constructed. The Wirtinger-based integral inequality in conjunction with the improved reciprocally convex combination technique is applied to obtain some sufficient conditions that ensure asymptotic stability of TS fuzzy time-varying delayed systems. It is demonstrated that the new stability condition is less conservative than the existing results for such fuzzy systems. The theoretical findings are substantiated with a numerical example.

Publication Date


  • 2015

Citation


  • Feng, Z., & Zheng, W. X. (2015). New results on stability of fuzzy time-varying delayed systems. In IEEE International Symposium on Intelligent Control - Proceedings Vol. 2015-October (pp. 912-917). doi:10.1109/ISIC.2015.7307298

Scopus Eid


  • 2-s2.0-84959523198

Web Of Science Accession Number


Start Page


  • 912

End Page


  • 917

Volume


  • 2015-October

Abstract


  • This paper is concerned with analyzing stability of Takagi-Sugeno (T-S) fuzzy systems with timevarying delay. A Lyapunov functional with triple integral terms is constructed. The Wirtinger-based integral inequality in conjunction with the improved reciprocally convex combination technique is applied to obtain some sufficient conditions that ensure asymptotic stability of TS fuzzy time-varying delayed systems. It is demonstrated that the new stability condition is less conservative than the existing results for such fuzzy systems. The theoretical findings are substantiated with a numerical example.

Publication Date


  • 2015

Citation


  • Feng, Z., & Zheng, W. X. (2015). New results on stability of fuzzy time-varying delayed systems. In IEEE International Symposium on Intelligent Control - Proceedings Vol. 2015-October (pp. 912-917). doi:10.1109/ISIC.2015.7307298

Scopus Eid


  • 2-s2.0-84959523198

Web Of Science Accession Number


Start Page


  • 912

End Page


  • 917

Volume


  • 2015-October