Mixed Incremental <italic>H</italic><sub>∞</sub> and Incremental Passivity Analysis for Markov Switched Stochastic Nonlinear Systems
This paper introduces the mixed incremental <inline-formula> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> and incremental passivity control problem for Markov switched stochastic (MSS) nonlinear systems. The multiple incremental Lyapunov funct...
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2021
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oai:doaj.org-article:8ccb819497eb4a8ea5ee8f8b928bc4862021-11-25T00:00:46ZMixed Incremental <italic>H</italic><sub>∞</sub> and Incremental Passivity Analysis for Markov Switched Stochastic Nonlinear Systems2169-353610.1109/ACCESS.2021.3127400https://doaj.org/article/8ccb819497eb4a8ea5ee8f8b928bc4862021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9611216/https://doaj.org/toc/2169-3536This paper introduces the mixed incremental <inline-formula> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> and incremental passivity control problem for Markov switched stochastic (MSS) nonlinear systems. The multiple incremental Lyapunov functions approach and the structure of Markov framework are utilized to establish some sufficient conditions for the MSS nonlinear systems, which will be used for the incrementally globally asymptotically stable in the mean(IGASiM) and performance index analysis. It is proved that under the proposed non-IGASiM subsystems the underlying MSS nonlinear systems are IGASiM and possess the mixed incremental <inline-formula> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> and incremental passivity performance metric in the presence of specified conditions. The mathematical induction method is selected to guarantee the robust incremental stability of MSS systems with IGASiM and non-IGASiM subsystems and the performance index can be exhibited a prescribed decay rate. The effectiveness of the proposed results is demonstrated by two simulation examples.Yuanhong RenXiaoxing WangLijuan WangYushi YangIEEEarticleMarkov switched stochastic systemsincrementally globally asymptotically stablenonlinear performanceElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 154667-154678 (2021) |
| institution |
DOAJ |
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DOAJ |
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| topic |
Markov switched stochastic systems incrementally globally asymptotically stable nonlinear performance Electrical engineering. Electronics. Nuclear engineering TK1-9971 |
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Markov switched stochastic systems incrementally globally asymptotically stable nonlinear performance Electrical engineering. Electronics. Nuclear engineering TK1-9971 Yuanhong Ren Xiaoxing Wang Lijuan Wang Yushi Yang Mixed Incremental <italic>H</italic><sub>∞</sub> and Incremental Passivity Analysis for Markov Switched Stochastic Nonlinear Systems |
| description |
This paper introduces the mixed incremental <inline-formula> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> and incremental passivity control problem for Markov switched stochastic (MSS) nonlinear systems. The multiple incremental Lyapunov functions approach and the structure of Markov framework are utilized to establish some sufficient conditions for the MSS nonlinear systems, which will be used for the incrementally globally asymptotically stable in the mean(IGASiM) and performance index analysis. It is proved that under the proposed non-IGASiM subsystems the underlying MSS nonlinear systems are IGASiM and possess the mixed incremental <inline-formula> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> and incremental passivity performance metric in the presence of specified conditions. The mathematical induction method is selected to guarantee the robust incremental stability of MSS systems with IGASiM and non-IGASiM subsystems and the performance index can be exhibited a prescribed decay rate. The effectiveness of the proposed results is demonstrated by two simulation examples. |
| format |
article |
| author |
Yuanhong Ren Xiaoxing Wang Lijuan Wang Yushi Yang |
| author_facet |
Yuanhong Ren Xiaoxing Wang Lijuan Wang Yushi Yang |
| author_sort |
Yuanhong Ren |
| title |
Mixed Incremental <italic>H</italic><sub>∞</sub> and Incremental Passivity Analysis for Markov Switched Stochastic Nonlinear Systems |
| title_short |
Mixed Incremental <italic>H</italic><sub>∞</sub> and Incremental Passivity Analysis for Markov Switched Stochastic Nonlinear Systems |
| title_full |
Mixed Incremental <italic>H</italic><sub>∞</sub> and Incremental Passivity Analysis for Markov Switched Stochastic Nonlinear Systems |
| title_fullStr |
Mixed Incremental <italic>H</italic><sub>∞</sub> and Incremental Passivity Analysis for Markov Switched Stochastic Nonlinear Systems |
| title_full_unstemmed |
Mixed Incremental <italic>H</italic><sub>∞</sub> and Incremental Passivity Analysis for Markov Switched Stochastic Nonlinear Systems |
| title_sort |
mixed incremental <italic>h</italic><sub>∞</sub> and incremental passivity analysis for markov switched stochastic nonlinear systems |
| publisher |
IEEE |
| publishDate |
2021 |
| url |
https://doaj.org/article/8ccb819497eb4a8ea5ee8f8b928bc486 |
| work_keys_str_mv |
AT yuanhongren mixedincrementalitalichitalicsubx221esubandincrementalpassivityanalysisformarkovswitchedstochasticnonlinearsystems AT xiaoxingwang mixedincrementalitalichitalicsubx221esubandincrementalpassivityanalysisformarkovswitchedstochasticnonlinearsystems AT lijuanwang mixedincrementalitalichitalicsubx221esubandincrementalpassivityanalysisformarkovswitchedstochasticnonlinearsystems AT yushiyang mixedincrementalitalichitalicsubx221esubandincrementalpassivityanalysisformarkovswitchedstochasticnonlinearsystems |
| _version_ |
1718414705809162240 |