On the exponential convergence of input-output signals of nonlinear feedback systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866929383312195584 |
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| author | Su, Lanlan Zhao, Di Khong, Sei Zhen |
| author_facet | Su, Lanlan Zhao, Di Khong, Sei Zhen |
| contents | This note studies the exponential convergence of input-output signals of discrete-time nonlinear systems composed of a feedback interconnection of a linear time-invariant system and a nonlinear uncertainty. Both the open-loop subsystems are allowed to be unbounded. Integral-quadratic-constraint-based conditions are proposed for these uncertain feedback systems, including the Lurye type, to exhibit the property that the endogenous input-output signals enjoy an exponential convergence rate for all initial conditions of the linear time-invariant subsystem. The conditions are established via a combination of tools, including integral quadratic constraints, directed gap, and exponential weightings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_01945 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the exponential convergence of input-output signals of nonlinear feedback systems Su, Lanlan Zhao, Di Khong, Sei Zhen Systems and Control Optimization and Control This note studies the exponential convergence of input-output signals of discrete-time nonlinear systems composed of a feedback interconnection of a linear time-invariant system and a nonlinear uncertainty. Both the open-loop subsystems are allowed to be unbounded. Integral-quadratic-constraint-based conditions are proposed for these uncertain feedback systems, including the Lurye type, to exhibit the property that the endogenous input-output signals enjoy an exponential convergence rate for all initial conditions of the linear time-invariant subsystem. The conditions are established via a combination of tools, including integral quadratic constraints, directed gap, and exponential weightings. |
| title | On the exponential convergence of input-output signals of nonlinear feedback systems |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2206.01945 |