Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints
This paper investigates the finite-time stability problem of p-norm stochastic nonlinear systems subject to output constraint. To cope with the constraint on system output, a tan-type barrier Lyapunov function (BLF) is constructed. By using the constructed BLF and the backstepping technique, a new c...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/2486210 |
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| _version_ | 1832550969497354240 |
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| author | Shijun Guan Liandi Fang |
| author_facet | Shijun Guan Liandi Fang |
| author_sort | Shijun Guan |
| collection | DOAJ |
| description | This paper investigates the finite-time stability problem of p-norm stochastic nonlinear systems subject to output constraint. To cope with the constraint on system output, a tan-type barrier Lyapunov function (BLF) is constructed. By using the constructed BLF and the backstepping technique, a new control algorithm is proposed with a continuous state-feedback controller being designed, which guarantees not only that the requirement of output constraint is always achieved but also that the origin of the system is finite-time stable. This result is demonstrated by both the rigorous analysis and the simulation example. |
| format | Article |
| id | doaj-art-4c7ef3edb66b40348e6f231bf04a4862 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4c7ef3edb66b40348e6f231bf04a48622025-02-03T06:05:17ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/24862102486210Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output ConstraintsShijun Guan0Liandi Fang1Department of Economic Management, Anhui Vocational College of Press and Publishing, Hefei 230601, ChinaCollege of Mathematics and Computer Science, Tongling University, Tongling 244000, ChinaThis paper investigates the finite-time stability problem of p-norm stochastic nonlinear systems subject to output constraint. To cope with the constraint on system output, a tan-type barrier Lyapunov function (BLF) is constructed. By using the constructed BLF and the backstepping technique, a new control algorithm is proposed with a continuous state-feedback controller being designed, which guarantees not only that the requirement of output constraint is always achieved but also that the origin of the system is finite-time stable. This result is demonstrated by both the rigorous analysis and the simulation example.http://dx.doi.org/10.1155/2020/2486210 |
| spellingShingle | Shijun Guan Liandi Fang Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints Complexity |
| title | Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints |
| title_full | Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints |
| title_fullStr | Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints |
| title_full_unstemmed | Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints |
| title_short | Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints |
| title_sort | finite time stabilization for p norm stochastic nonlinear systems with output constraints |
| url | http://dx.doi.org/10.1155/2020/2486210 |
| work_keys_str_mv | AT shijunguan finitetimestabilizationforpnormstochasticnonlinearsystemswithoutputconstraints AT liandifang finitetimestabilizationforpnormstochasticnonlinearsystemswithoutputconstraints |