Correct-by-Design Control Synthesis of Stochastic Multi-agent Systems: a Robust Tensor-based Solution
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916002442248192 |
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| author | Wang, Ruohan Liu, Siyuan Sun, Zhiyong Haesaert, Sofie |
| author_facet | Wang, Ruohan Liu, Siyuan Sun, Zhiyong Haesaert, Sofie |
| contents | Discrete-time stochastic systems with continuous spaces are hard to verify and control, even with MDP abstractions due to the curse of dimensionality. We propose an abstraction-based framework with robust dynamic programming mappings that deliver control strategies with provable lower bounds on temporal-logic satisfaction, quantified via approximate stochastic simulation relations. Exploiting decoupled dynamics, we reveal a Canonical Polyadic Decomposition tensor structure in value functions that makes dynamic programming scalable. The proposed method provides correct-by-design probabilistic guarantees for temporal logic specifications. We validate our results on continuous-state linear stochastic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06873 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Correct-by-Design Control Synthesis of Stochastic Multi-agent Systems: a Robust Tensor-based Solution Wang, Ruohan Liu, Siyuan Sun, Zhiyong Haesaert, Sofie Systems and Control Discrete-time stochastic systems with continuous spaces are hard to verify and control, even with MDP abstractions due to the curse of dimensionality. We propose an abstraction-based framework with robust dynamic programming mappings that deliver control strategies with provable lower bounds on temporal-logic satisfaction, quantified via approximate stochastic simulation relations. Exploiting decoupled dynamics, we reveal a Canonical Polyadic Decomposition tensor structure in value functions that makes dynamic programming scalable. The proposed method provides correct-by-design probabilistic guarantees for temporal logic specifications. We validate our results on continuous-state linear stochastic systems. |
| title | Correct-by-Design Control Synthesis of Stochastic Multi-agent Systems: a Robust Tensor-based Solution |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2511.06873 |