Geodesic
Robust Finite-Time Stability of Continuous and Discrete-Time Systems With Interval Time-Varying Delay and Nonlinear Perturbations
Zbornik radova, Tome 19 (2022) no. 27, p. 357 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper, we present one approach in finite-time stability analysis of continuous and discrete-time systems with interval time-varying delay, nonlinear perturbations and parameter uncertainties. The new integral inequality for continuous quadratic function with exponential weights and new finite sum inequality for discrete quadratic function with the power weights are derived. By using these inequalities and convenient continuous and discrete Lyapunov-Krasovskii-like functionals with exponential and power weights, respectively, some sufficient conditions of finite-time stability are obtained in form of linear matrix inequalities. Some numerical examples are presented to illustrate the proposed methodology.
Classification : 70-99, 74-99, 70F35, 92C10, 74L10, 70Exx, 70KXX, 74M05, 37H20
Keywords: finite-time stability, interval time-varying delay, nonlinear perturbations, parameter uncertainties, Lyapunov-Krasovskii-like functional, integral inequality, finite sum inequality, linear matrix inequalities 
@article{ZR_2022_19_27_a10,
     author = {Sreten B. Stojanovic and Milos M. Stevanovi and Dragutin Lj. Debeljkovic},
     title = {Robust {Finite-Time} {Stability} of {Continuous} and {Discrete-Time} {Systems} {With} {Interval} {Time-Varying} {Delay} and {Nonlinear} {Perturbations}},
     journal = {Zbornik radova},
     pages = {357 },
     year = {2022},
     volume = {19},
     number = {27},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZR_2022_19_27_a10/}
}
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Sreten B. Stojanovic; Milos M. Stevanovi; Dragutin Lj. Debeljkovic. Robust Finite-Time Stability of Continuous and Discrete-Time Systems With Interval Time-Varying Delay and Nonlinear Perturbations. Zbornik radova, Tome 19 (2022) no. 27, p. 357 . http://geodesic.mathdoc.fr/item/ZR_2022_19_27_a10/