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Integral partitioning approach to stability analysis and stabilization of distributed time delay systems

Journal Article


Abstract


  • In this paper, the problems of delay-dependent stability analysis and stabilization are investigated for linear continuous-time systems with distributed delay. By introducing an integral partitioning technique, a new form of Lyapunov-Krasovskii functional (LKF) is constructed and improved distributed delay dependent stability conditions are established in terms of linear matrix inequalities (LMIs). Based on the criteria, a design algorithm for a state feedback controller is proposed. The results developed in this paper are less conservative than existing ones in the literature, which is illustrated by several examples. © 2011 IFAC.

Publication Date


  • 2011

Citation


  • Feng, Z., & Lam, J. (2011). Integral partitioning approach to stability analysis and stabilization of distributed time delay systems. IFAC Proceedings Volumes (IFAC-PapersOnline), 44(1 PART 1), 5094-5099. doi:10.3182/20110828-6-IT-1002.00032

Scopus Eid


  • 2-s2.0-84864562964

Web Of Science Accession Number


Start Page


  • 5094

End Page


  • 5099

Volume


  • 44

Issue


  • 1 PART 1

Abstract


  • In this paper, the problems of delay-dependent stability analysis and stabilization are investigated for linear continuous-time systems with distributed delay. By introducing an integral partitioning technique, a new form of Lyapunov-Krasovskii functional (LKF) is constructed and improved distributed delay dependent stability conditions are established in terms of linear matrix inequalities (LMIs). Based on the criteria, a design algorithm for a state feedback controller is proposed. The results developed in this paper are less conservative than existing ones in the literature, which is illustrated by several examples. © 2011 IFAC.

Publication Date


  • 2011

Citation


  • Feng, Z., & Lam, J. (2011). Integral partitioning approach to stability analysis and stabilization of distributed time delay systems. IFAC Proceedings Volumes (IFAC-PapersOnline), 44(1 PART 1), 5094-5099. doi:10.3182/20110828-6-IT-1002.00032

Scopus Eid


  • 2-s2.0-84864562964

Web Of Science Accession Number


Start Page


  • 5094

End Page


  • 5099

Volume


  • 44

Issue


  • 1 PART 1