Nature

The Expansion of a Homogeneous Function in Spherical Harmonics

IN a recent paper, entitled “Notes on Spherical Harmonics” (Proceedings of the Edinburgh Mathematical Society, vol. xxxii., 1914), Dr. John Dougall wrongly claims as new the expansion which he has ...
IEEE

A Homogeneous Function Style in the Problem of Sure Resolution of Inhomogeneous Boundary Condition

Abstract: There is a relatively complete style of homogeneous function about the boundary condition in the problem of sure resolution of inhomogeneous boundary condition based on the summarizing of ...
INSPIRE

The Livšic function of a homogeneous symmetric operator

This paper presents a solution to the Jørgensen-Muhly problem for a homogeneous symmetric operator that admits a homogeneous self-adjoint extension. Based on the Livšic function approach, we proved a ...
IEEE

Discrete-time homogeneous Lyapunov functions for homogeneous difference inclusions

Abstract: In this paper, we consider homogeneity (of discrete-time systems) with respect to generalized dilations, which define a broader class of operators than dilations. The notion of generalized ...
Europe PMC

Heading control based on extended homogeneous polynomial Lyapunov function

For the nonlinear parameter-varying (NPV) model of unmanned surface vehicle (USV) with the consideration of the velocities on yaw and surge as well as wave disturbances, a robust H ∞ control method is ...