We prove a robust converse barrier function theorem via the converse Lyapunov theory. While the use of a Lyapunov function as a barrier function is straightforward, the existence of a converse ...

Falling is one of the biggest risks older adults face. As you age, your body doesn’t move the way it used to. You might lose strength, your vision may fade, and your balance becomes harder to maintain ...

In this project, an observer in the form of a stable neural network is proposed for any nonlinear MIMO system. As a result of experience, this observer utilizes a nonlinear in parameter neural network ...

The creator of the theory of the stability of motion was the distinguished mathematician Academician A. M. Lyapunov (1857–1918). His works served as the foundation for extensive investigations into ...

The preliminary round of the 2025 IIHF World Junior Championship is complete, and it was one to remember, with perhaps the most parity in the preliminary round of this tournament in its history ...

The problems involve mathematical tools called Lyapunov functions, named after mathematician Aleksandr Lyapunov, which analyse whether a system will remain stable over time, meaning its behaviour ...

Lyapunov-stable Neural Control for State and Output Feedback: A Novel Formulation Our work studies neural network controllers and observers with provable Lyapunov stability guarantees. Due to the ...

This research was supported in part by the U.S. Air Force under Contracts AF 49(638)-382 and AF 33(657)-8559 as well as by the National Aeronautical and Space Administration under Contract NASr-103.

Article citations More>> Lyapunov, A.M. (1892) The General Problem of the Stability of Motion. Kharkov Mathematical Society, Kharkov. has been cited by the following article: TITLE: Validity of ...

Despite recent advances in safe reinforcement learning (RL), safety constraints are often violated at deployment, especially under extreme uncertainty in memory-based partially observable environments ...