The Project involves 3 typical convex optimization problems in control and the SDP (Semi-definite Programming) form or in other words the LMI (Linear Matrix Inequalities) form of each problem is ...

The known Fourier-Chernikov algorithm of linear inequality system convolution is complemented with an original procedure of all dependent (redundant) inequalities deletion. The concept of “almost ...

Abstract: In this article, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality ...

When learning algebra, one of the most crucial skills to acquire is understanding how to graph linear equations. It helps you visualize relationships between variables and solve mathematical problems.

Abstract: This paper addresses the correspondence between linear inequalities for Shannon entropy and differential entropy for sums of independent group-valued random variables. We show that any ...

Plot points with coordinates where \(x\) and \(y\) are equal. Three points are sufficient, but more can be plotted. Draw a line through the plotted points. If \(x\) is positive, \(y\) is negative. If ...