English

Properties of sub-matrices of Sylvester matrices and triangular toeplitz matrices

Optimization and Control 2011-07-28 v1

Abstract

In this note we discover and prove some interesting and important relations among sub-matrices of Sylvester matrices and triangular toeplitz matrices. The main result is Hill's identity discovered by R. D. Hill which has an important application in optimal control problems.

Keywords

Cite

@article{arxiv.1107.5340,
  title  = {Properties of sub-matrices of Sylvester matrices and triangular toeplitz matrices},
  author = {Yousong Luo and Robin Hill and Uwe Schwerdtfeger},
  journal= {arXiv preprint arXiv:1107.5340},
  year   = {2011}
}