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math.OC2024
Fast and Certifiable Trajectory Optimization
Shucheng Kang, Xiaoyang Xu, Jay Sarva +2
We propose semidefinite trajectory optimization (STROM), a framework that computes fast and certifiably optimal solutions for nonconvex trajectory optimization problems defined by…
math.OC2024
Sparse Polynomial Optimization with Unbounded Sets
Lei Huang, Shucheng Kang, Jie Wang +1
This paper considers sparse polynomial optimization with unbounded sets. When the problem possesses correlative sparsity, we propose a sparse homogenized Moment-SOS hierarchy with…