LMI-Based Exponential Estimates for Time-Delay Nonlinear Descriptor Systems ⁎ ⁎This work has been supported by the postdoctoral fellowship for CVU 366627, the ITSON Projects PROFAPI CA-18 2017-0088 and 2018-1062, and PFCE 2016-17. Juan Carlos Arceo was student at ITSON under CONACYT scholarship 415714 during the realization of this work.
Résumé
This paper presents novel results on exponential estimates for time-delay nonlinear descriptor systems with nonsingular left-hand side. By means of a Lyapunov-Krasovskii functional and an exact convex representation of the system, conditions in the form of linear matrix inequalities are found that guarantee exponential bounds of solutions. Illustrative examples are provided that show the effectiveness of the proposed solutions