Abstract: Many control problems require solving the algebraic Riccati equation (ARE). Previous studies have focused more on solving the time-invariant ARE than on solving the time-varying ARE (TVARE).

Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

The internet is torn over an elementary-level math equation which left many scratching their heads. The viral math problem has X users stumped - but the answer comes from lessons learned in fifth or ...

Unless you do it in your day to day job, math can be very easy to avoid once you graduate from school. Suddenly those long, complicated equations that your math teacher swore would be trivial are so ...

While most adults are more than happy to be a long way away from their school exams, many of us enjoy challenging ourselves with a quiz or a puzzle. Keeping your mind sharp as you get older becomes ...

This paper provides an important proposal for why learning can be much faster and more accurate if synapses have a fast component that immediately corrects errors, as well as a slower component that ...

Index laws and the laws of logarithms are essential tools for simplifying and manipulating exponential and logarithmic functions. There is an inverse relationship between exponential and logarithmic ...

Are you struggling to solve quadratic equations? Look no further than the “Almighty Formula,” a powerful mathematical tool that can crack even the toughest quadratic puzzles. In this article, you will ...

1 College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China. 2 School of Statistics and Data Science, Jiangxi University of Finance and Economics, Nanchang, China.