LYAPUNOV–KRASOVSKII FUNCTIONAL APPROACH FOR H-STABILITY ANALYSIS OF LINEAR CONTINUOUS-TIME SYSTEMS
Nội dung chính của bài viết
Tóm tắt
In this study, we provide new adequate conditions to demonstrate the h-stability of linear continuous-time systems using the Lyapunov-Krasovskii functional approach, which may be seen as an extension of exponential stability. Additionally, we present a simulation-based example to illustrate the relevance of the obtained conclusions.
Từ khóa
h-stability, Lyapunov-Krasovskii functional, continuous-time systems, linear matrix inequalities
Chi tiết bài viết
Tài liệu tham khảo
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[2] M. Pinto, Perturbations of asymptotically stable differential systems, Analysis 4 (1984), 161–175.
[3] R. Medina and M. Pinto, Stability of nonlinear difference equations, in: G. S. Ladde et al. (eds.), Dynamic Systems and Applications, Vol. 2., Proceedings of the 2nd International Conference, Morehouse
College, Atlanta, GA, USA, May 24–27, 1995, Dynamic Publishers, Atlanta, GA, 1996, pp. 397–404.
[4] H. Damak, M. A. Hammami and A. Kicha, A converse theorem on practical h−stability of nonlinear
systems, Mediterr. J. Math. 17, 88(2020), https://doi.org/10.1007/s00009-020-01518-2.
[5] A. B. Makhlouf and M. A. Hammami, A nonlinear inequality and application to global asymptotic
stability of perturbed systems, Math. Method. Appl. Sci. 38 (2015), 2496–2505.
[6] B. B. Hamed, Z. H. Salem and M. A. Hammami, Stability of nonlinear time-varying perturbed differential equations, Nonlinear Dyn. 73 (2013), 1353–1365.