Exact Controllability for a Refined Stochastic Hyperbolic Equation with Internal Controls
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915240085553152 |
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| author | Li, Zengyu Liao, Zhonghua Lü, Qi |
| author_facet | Li, Zengyu Liao, Zhonghua Lü, Qi |
| contents | We establish the internal exact controllability of a refined stochastic hyperbolic equation by deriving a suitable observability inequality via Carleman estimates for the associated backward stochastic hyperbolic equation. In contrast to existing results on boundary exact controllability--which require longer waiting times, we demonstrate that the required waiting time for internal exact controllability in stochastic hyperbolic equations coincides exactly with that of their deterministic counterparts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09262 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact Controllability for a Refined Stochastic Hyperbolic Equation with Internal Controls Li, Zengyu Liao, Zhonghua Lü, Qi Optimization and Control 93B05, 93B07 We establish the internal exact controllability of a refined stochastic hyperbolic equation by deriving a suitable observability inequality via Carleman estimates for the associated backward stochastic hyperbolic equation. In contrast to existing results on boundary exact controllability--which require longer waiting times, we demonstrate that the required waiting time for internal exact controllability in stochastic hyperbolic equations coincides exactly with that of their deterministic counterparts. |
| title | Exact Controllability for a Refined Stochastic Hyperbolic Equation with Internal Controls |
| topic | Optimization and Control 93B05, 93B07 |
| url | https://arxiv.org/abs/2504.09262 |