A novel control Lyapunov-Krasovskii functional methodology for simultaneous stabilization of a set of multiple time-delays nonlinear systems. Issue 12 (August 2021)

• Record Type: Journal Article
• Authors: Dastaviz, A.; Binazadeh, T.; Cui, Y.
• Is Part Of: Journal of the Franklin Institute. Volume 358:Issue 12(2021)
• Page Start: 6101
• Page End: 6120
• Publication Date: 2021-08
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2021.05.036
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper considers the simultaneous stabilization of a set of nonlinear systems, that involve uncertain nonlinearities besides multiple time-varying delays in the states. Under the assumption that the upper bounds of delays are known, a memoryless simultaneously stabilizing state feedback controller is presented by proposing a control Lyapunov-Krasovskii functional (CL-KF) method. As required to establish the CL-KF approach, a systematic procedure is given to construct CL-KFs for the systems under consideration. By the obtained CL-KFs, a common stabilizing state feedback control law is established to drive all the systems to the origin. Examples are finally given to verify the benefit of the proposed design method.