Search Results for author: Bican Xia

Found 5 papers, 1 papers with code

Solving Satisfiability of Polynomial Formulas By Sample-Cell Projection

1 code implementation1 Mar 2020 Haokun Li, Bican Xia

A new algorithm for deciding the satisfiability of polynomial formulas over the reals is proposed.

Choosing the Variable Ordering for Cylindrical Algebraic Decomposition via Exploiting Chordal Structure

no code implementations1 Feb 2021 Haokun Li, Bican Xia, Huiying Zhang, Tao Zheng

This property indicates that when the corresponding perfect elimination tree has a lower height, the full set of projection polynomials also tends to have a smaller "size".

Symbolic Computation

Switching Controller Synthesis for Delay Hybrid Systems under Perturbations

no code implementations22 Mar 2021 Yunjun Bai, Ting Gan, Li Jiao, Bican Xia, Bai Xue, Naijun Zhan

Delays are ubiquitous in modern hybrid systems, which exhibit both continuous and discrete dynamical behaviors.

Generalizing SDP-Based Barrier Certificate Synthesis to Unbounded Domains by Dropping Archimedean Condition

no code implementations24 Dec 2023 Hao Wu, Shenghua Feng, Ting Gan, Jie Wang, Bican Xia, Naijun Zhan

Barrier certificates, which serve as differential invariants that witness system safety, play a crucial role in the verification of cyber-physical systems (CPS).

A Framework for Safe Probabilistic Invariance Verification of Stochastic Dynamical Systems

no code implementations13 Apr 2024 Taoran Wu, Yiqing Yu, Bican Xia, Ji Wang, Bai Xue

Ensuring safety through set invariance has proven to be a valuable method in various robotics and control applications.

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