Abstract: The linear–quadratic mean field social control problem is studied in a large-population system with heterogeneous agents following the direct approach. A graph is introduced to represent the ...

Math can be challenging, whether you're a high school student struggling with algebraic equations or a university student tackling the complexities of multivariable calculus. For many learners, the ...

In this paper, we describe a new primal-dual path-following method to solve a convex quadratic program (QP). The derived algorithm is based on new techniques for finding a new class of search ...

Around the nearby star Fomalhaut, asteroids are smashing into each other in a series of cosmic cataclysms, creating huge clouds of dust. For the first time, astronomers are watching one of these ...

The rise of GPS vulnerability is putting more resilient, atom-based navigational tools on the map. In late September, a Spanish military plane carrying the country’s defense minister to a base in ...

Inside a vast, hangar-like building in Devens, a trio of employees are working to test and assemble the pieces of what is likely one of the most advanced machines being built on Earth. One part of a ...

The program runs each method 100 times to measure average execution time and compares the performance against expected computational complexity. Cramer's Rule computes each variable xᵢ as the ratio ...

In this paper, linear quadratic optial control probles are solved by applying least square method based on Bézier control points. We divide the interval which includes t, into k subintervals and ...

Across the U.S. healthcare system, stakeholders—primarily members, employers, providers and payers—face mounting frustrations in an increasingly complicated and disconnected industry. Consider a ...