Predictor-Feedback Stabilization of Linear Switched Systems with State-Dependent Switching and Input Delay
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914411417960448 |
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| author | Katsanikakis, Andreas Bekiaris-Liberis, Nikolaos Bresch-Pietri, Delphine |
| author_facet | Katsanikakis, Andreas Bekiaris-Liberis, Nikolaos Bresch-Pietri, Delphine |
| contents | We develop a predictor-feedback control design for a class of linear systems with state-dependent switching. The main ingredient of our design is a novel construction of an exact predictor state. Such a construction is possible as for a given, state-dependent switching rule, an implementable formula for the predictor state can be derived in a way analogous to the case of nonlinear systems with input delay. We establish uniform exponential stability of the corresponding closed-loop system via a novel construction of multiple Lyapunov functionals, relying on a backstepping transformation that we introduce. We validate our design in simulation considering a switching rule motivated by communication networks. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_20027 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Predictor-Feedback Stabilization of Linear Switched Systems with State-Dependent Switching and Input Delay Katsanikakis, Andreas Bekiaris-Liberis, Nikolaos Bresch-Pietri, Delphine Systems and Control We develop a predictor-feedback control design for a class of linear systems with state-dependent switching. The main ingredient of our design is a novel construction of an exact predictor state. Such a construction is possible as for a given, state-dependent switching rule, an implementable formula for the predictor state can be derived in a way analogous to the case of nonlinear systems with input delay. We establish uniform exponential stability of the corresponding closed-loop system via a novel construction of multiple Lyapunov functionals, relying on a backstepping transformation that we introduce. We validate our design in simulation considering a switching rule motivated by communication networks. |
| title | Predictor-Feedback Stabilization of Linear Switched Systems with State-Dependent Switching and Input Delay |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2603.20027 |