Abstract: This letter focuses on a safety-critical solution to equality-constrained nonlinear programming, where the cost and the constraints vary continuously over time. To address this problem, we ...

Factor graph optimization serves as a fundamental framework for robotic perception, enabling applications such as pose estimation, simultaneous localization and mapping (SLAM), structure-from-motion ...

We study some nonlinear optimal control problems under state constraint. We construct extremal flows by differential-algebraic equations to solve an optimal control problem subject to mixed ...

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Tired of learning syntax for every new language? This project is built on the core belief that fundamental programming logic transcends language boundaries. By mastering the concepts here in ...

School of Mathematics, Liaoning Normal University, Dalian, China. In recent years, research in this field has continued to deepen, involving multiple different directions. As an example, a research ...

Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where ...

Logical reasoning remains a crucial area where AI systems struggle despite advances in processing language and knowledge. Understanding logical reasoning in AI is essential for improving automated ...

CasADi is a symbolic framework for numeric optimization implementing automatic differentiation in forward and reverse modes on sparse matrix-valued computational graphs. It supports self-contained ...