Hankel singular value is a type of number that helps describe a certain type of matrix, a Hankel matrix. A matrix is a way to organize numbers or other values into rows and columns. A Hankel matrix is a special type of matrix because the numbers further down the row are the same as the numbers further down the column.
Hankel singular value helps to find out how the numbers in a Hankel matrix are related. It's a way of measuring how the numbers in the matrix affect each other. Imagine that the numbers in a Hankel matrix are like pieces in a jigsaw puzzle. Hankel singular value is like finding out how much different pieces fit together. That way, you can measure how strong the puzzle is as a whole.