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eess.SY2025
Data-driven Reachability Verification with Probabilistic Guarantees under Koopman Spectral Uncertainty
Jianqiang Ding, Shankar A. Deka
Providing rigorous reachability guarantees for unknown complex systems is a crucial and challenging task. In this paper, we present a novel data-driven framework that addresses thi…
eess.SY2025
Backstepping Reach-avoid Controller Synthesis for Multi-input Multi-output Systems with Mixed Relative Degrees
Jianqiang Ding, Dingran Yuan, Shankar A. Deka
Designing controllers with provable formal guarantees has become an urgent requirement for cyber-physical systems in safety-critical scenarios. Beyond addressing scalability in hig…
eess.SY2024★ 1 cited
Time-to-reach Bounds for Verification of Dynamical Systems Using the Koopman Spectrum
Jianqiang Ding, Shankar A. Deka
In this work, we present a novel Koopman spectrum-based reachability verification method for nonlinear systems. Contrary to conventional methods that focus on characterizing all po…