Stability analysis of N-D discrete state–space systems
Several stability criteria for N-dimensional linear shift-invariant discrete systems described in the state–space model are presented. The criteria are the N-D state–space versions of the De Carlo et al., Anderson-Jury and Lyapunov equations with complex elements stability criteria. The criteria pro...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Systems Science & Control Engineering |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/21642583.2024.2413554 |
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| author | Apostolos Kanellakis Ayman Tawfik Panajotis Agathoklis |
| author_facet | Apostolos Kanellakis Ayman Tawfik Panajotis Agathoklis |
| author_sort | Apostolos Kanellakis |
| collection | DOAJ |
| description | Several stability criteria for N-dimensional linear shift-invariant discrete systems described in the state–space model are presented. The criteria are the N-D state–space versions of the De Carlo et al., Anderson-Jury and Lyapunov equations with complex elements stability criteria. The criteria provide sufficient and necessary conditions for the stability analysis of N-dimensional (N-D) discrete systems. This study was carried out using the generalized Roesser state–space model for N-D discrete systems. Some stability results in this paper are derived by combining this state–space model with Lyapunov theory. Several simple sufficient conditions for easy stability checking are also presented. An example is presented to illustrate the utility of the proposed analysis. |
| format | Article |
| id | doaj-art-e4181b692f2849f2bbc1b75bebca69b7 |
| institution | OA Journals |
| issn | 2164-2583 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj-art-e4181b692f2849f2bbc1b75bebca69b72025-08-20T01:57:59ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832024-12-0112110.1080/21642583.2024.2413554Stability analysis of N-D discrete state–space systemsApostolos Kanellakis0Ayman Tawfik1Panajotis Agathoklis2School of Electrical and Computer Engineering, National Technical University of Athens, Athens, GreeceDepartment of the Electrical and Computer Engineering, College of Engineering and Information Technology, Ajman University, Ajman, United Arab EmiratesDepartment of Electrical and Computer Engineering, University of Victoria, Victoria, CanadaSeveral stability criteria for N-dimensional linear shift-invariant discrete systems described in the state–space model are presented. The criteria are the N-D state–space versions of the De Carlo et al., Anderson-Jury and Lyapunov equations with complex elements stability criteria. The criteria provide sufficient and necessary conditions for the stability analysis of N-dimensional (N-D) discrete systems. This study was carried out using the generalized Roesser state–space model for N-D discrete systems. Some stability results in this paper are derived by combining this state–space model with Lyapunov theory. Several simple sufficient conditions for easy stability checking are also presented. An example is presented to illustrate the utility of the proposed analysis.https://www.tandfonline.com/doi/10.1080/21642583.2024.2413554StabilityN-D discrete systemsstate–space |
| spellingShingle | Apostolos Kanellakis Ayman Tawfik Panajotis Agathoklis Stability analysis of N-D discrete state–space systems Systems Science & Control Engineering Stability N-D discrete systems state–space |
| title | Stability analysis of N-D discrete state–space systems |
| title_full | Stability analysis of N-D discrete state–space systems |
| title_fullStr | Stability analysis of N-D discrete state–space systems |
| title_full_unstemmed | Stability analysis of N-D discrete state–space systems |
| title_short | Stability analysis of N-D discrete state–space systems |
| title_sort | stability analysis of n d discrete state space systems |
| topic | Stability N-D discrete systems state–space |
| url | https://www.tandfonline.com/doi/10.1080/21642583.2024.2413554 |
| work_keys_str_mv | AT apostoloskanellakis stabilityanalysisofnddiscretestatespacesystems AT aymantawfik stabilityanalysisofnddiscretestatespacesystems AT panajotisagathoklis stabilityanalysisofnddiscretestatespacesystems |