New delay-range-dependent exponential stability criterion and $ H_\infty $ performance for neutral-type nonlinear system with mixed time-varying delays
For a neutral system with mixed discrete, neutral and distributed interval time-varying delays and nonlinear uncertainties, the problem of exponential stability is investigated in this paper based on the $ H_\infty $ performance condition. The uncertainties are nonlinear time-varying parameter pertu...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-01-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023033?viewType=HTML |
| _version_ | 1798027466892115968 |
|---|---|
| author | Boonyachat Meesuptong Peerapongpat Singkibud Pantiwa Srisilp Kanit Mukdasai |
| author_facet | Boonyachat Meesuptong Peerapongpat Singkibud Pantiwa Srisilp Kanit Mukdasai |
| author_sort | Boonyachat Meesuptong |
| collection | DOAJ |
| description | For a neutral system with mixed discrete, neutral and distributed interval time-varying delays and nonlinear uncertainties, the problem of exponential stability is investigated in this paper based on the $ H_\infty $ performance condition. The uncertainties are nonlinear time-varying parameter perturbations. By introducing a decomposition matrix technique, using Jensen's integral inequality, Peng-Park's integral inequality, Leibniz-Newton formula and Wirtinger-based integral inequality, utilization of a zero equation and the appropriate Lyapunov-Krasovskii functional, new delay-range-dependent sufficient conditions for the $ H_\infty $ performance with exponential stability of the system are presented in terms of linear matrix inequalities. Moreover, we present numerical examples that demonstrate exponential stability of the neutral system with mixed time-varying delays, and nonlinear uncertainties to show the advantages of our method. |
| first_indexed | 2024-04-11T18:51:59Z |
| format | Article |
| id | doaj.art-8061a0f6cb6d4a2d8f588ed84e20fd8f |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T18:51:59Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8061a0f6cb6d4a2d8f588ed84e20fd8f2022-12-22T04:08:19ZengAIMS PressAIMS Mathematics2473-69882023-01-018169171210.3934/math.2023033New delay-range-dependent exponential stability criterion and $ H_\infty $ performance for neutral-type nonlinear system with mixed time-varying delaysBoonyachat Meesuptong0Peerapongpat Singkibud 1Pantiwa Srisilp2Kanit Mukdasai 31. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand2. Department of Applied Mathematics and Statistics, Faculty of Science and Liberal Arts, Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, Thailand3. Rail System Institute of Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, Thailand1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandFor a neutral system with mixed discrete, neutral and distributed interval time-varying delays and nonlinear uncertainties, the problem of exponential stability is investigated in this paper based on the $ H_\infty $ performance condition. The uncertainties are nonlinear time-varying parameter perturbations. By introducing a decomposition matrix technique, using Jensen's integral inequality, Peng-Park's integral inequality, Leibniz-Newton formula and Wirtinger-based integral inequality, utilization of a zero equation and the appropriate Lyapunov-Krasovskii functional, new delay-range-dependent sufficient conditions for the $ H_\infty $ performance with exponential stability of the system are presented in terms of linear matrix inequalities. Moreover, we present numerical examples that demonstrate exponential stability of the neutral system with mixed time-varying delays, and nonlinear uncertainties to show the advantages of our method.https://www.aimspress.com/article/doi/10.3934/math.2023033?viewType=HTMLexponential stabilityh<sub>∞</sub> performanceneutral systemtime-varying delay |
| spellingShingle | Boonyachat Meesuptong Peerapongpat Singkibud Pantiwa Srisilp Kanit Mukdasai New delay-range-dependent exponential stability criterion and $ H_\infty $ performance for neutral-type nonlinear system with mixed time-varying delays AIMS Mathematics exponential stability h<sub>∞</sub> performance neutral system time-varying delay |
| title | New delay-range-dependent exponential stability criterion and $ H_\infty $ performance for neutral-type nonlinear system with mixed time-varying delays |
| title_full | New delay-range-dependent exponential stability criterion and $ H_\infty $ performance for neutral-type nonlinear system with mixed time-varying delays |
| title_fullStr | New delay-range-dependent exponential stability criterion and $ H_\infty $ performance for neutral-type nonlinear system with mixed time-varying delays |
| title_full_unstemmed | New delay-range-dependent exponential stability criterion and $ H_\infty $ performance for neutral-type nonlinear system with mixed time-varying delays |
| title_short | New delay-range-dependent exponential stability criterion and $ H_\infty $ performance for neutral-type nonlinear system with mixed time-varying delays |
| title_sort | new delay range dependent exponential stability criterion and h infty performance for neutral type nonlinear system with mixed time varying delays |
| topic | exponential stability h<sub>∞</sub> performance neutral system time-varying delay |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023033?viewType=HTML |
| work_keys_str_mv | AT boonyachatmeesuptong newdelayrangedependentexponentialstabilitycriterionandhinftyperformanceforneutraltypenonlinearsystemwithmixedtimevaryingdelays AT peerapongpatsingkibud newdelayrangedependentexponentialstabilitycriterionandhinftyperformanceforneutraltypenonlinearsystemwithmixedtimevaryingdelays AT pantiwasrisilp newdelayrangedependentexponentialstabilitycriterionandhinftyperformanceforneutraltypenonlinearsystemwithmixedtimevaryingdelays AT kanitmukdasai newdelayrangedependentexponentialstabilitycriterionandhinftyperformanceforneutraltypenonlinearsystemwithmixedtimevaryingdelays |