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math.OC2026
Reachability-Augmented Dual Dynamic Programming for Optimal Path Parameterization
Yunan Wang, Jizhou Yan, Chuxiong Hu +1
Optimal path parameterization (OPP) is a fundamental problem for planning trajectories along a prescribed geometric path under kinodynamic constraints and task-dependent objectives…
math.OC2024
A Novel State-Centric Necessary Condition for Time-Optimal Control of Controllable Linear Systems Based on Augmented Switching Laws (Extended Version)
Yunan Wang, Chuxiong Hu, Yujie Lin +3
Most existing necessary conditions for optimal control based on adjoining methods require both state and costate information, yet the unobservability of costates for a given feasib…
math.OC2024
Chattering Phenomena in Time-Optimal Control for High-Order Chain-of-Integrator Systems with Full State Constraints (Extended Version)
Yunan Wang, Chuxiong Hu, Zeyang Li +3
Time-optimal control for high-order chain-of-integrator systems with full state constraints remains an open and challenging problem within the discipline of optimal control. The be…