Abstract: This paper focuses on the inverse optimal control problem for discrete-time systems with unknown cost functions using linear matrix inequalities (LMIs). Based on Pontryagin's minimum ...

“I was curious to establish a baseline for when LLMs are effectively able to solve open math problems compared to where they ...

Solve two Atwood machine problems step by step, including the effects of friction and an inclined plane. Learn how to set up free-body diagrams, apply Newton’s laws, and avoid common mistakes in ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

In this paper a filled function method is suggested for solving nonlinear systems of equalities and inequalities. Firstly, the original problem is reformulated into an equivalent constrained global ...

Abstract: High-speed optical transmission systems suffer from severe inter-symbol interferences (ISIs) and nonlinear distortions due to the limited bandwidth and the nonlinear response of optical and ...