This study presents a nonlinear stabilization framework for industrial robotic systems based on differential topology and geometric control theory. System dynamics are modeled on smooth manifolds, where stabilization is achieved through topological invariants and non-smooth feedback control laws. The approach extends classical nonlinear control by incorporating global geometric structures, enabling stabilization of non-triangular and highly coupled systems. Stability analysis is conducted using global asymptotic and finite-time convergence criteria, supported by Lyapunov-topological equivalence principles. Results demonstrate enhanced robustness, rapid convergence, and strong disturbance rejection capabilities in complex nonlinear robotic systems.
Description This white paper introduces Stability Geometry of Biomimetic Robotics (SG-BR) — a conceptual and computational framework that shifts the focus of biomimetic robotics from anatomical imitation to the principles of adaptive stability. The central hypothesis is that biol…
We develop a federal-level decision-support framework for managing a long-run transition to an economy in which artificial intelligence and inexpensive general-purpose robots can perform a substantial share of cognitive and physical tasks. The framework does not forecast the tech…
🌟 Summary Huawei Ascend support arrives in Ultralytics, enabling YOLO models to export and run as hardware-optimized .om models on Ascend NPUs. 🚀 📊 Key Changes Huawei Ascend export and inference 🧠 Adds format=ascend to compile YOLO models through Huawei's CANN ATC compiler. P…
Abstract **Background** Modulating endogenously silenced regenerative pathways—such as BMP derepression through Anti-SOST and Anti-GDF8 therapies—presents significant safety challenges in bio-electric tissue engineering. Uncontrolled signaling carries severe risks of tissue hyper…
This manuscript presents a theoretical and numerical framework that uniesthe micro-topological structure of a discrete 96-zone network, dened by a complex Laplacian operator L(96), with the macroscopic expansion dynamics of the Universe in an EinsteinHilbert extension. By replaci…
abstractExisting blockchain Virtual Machines (VMs), such as the Ethereum Virtual Machine (EVM) and Solana Virtual Machine (SVM), are architected strictly for 1D financial accounting and key-value state transitions. Consequently, they lack native execution support for 3D spatial g…