• Corpus ID: 39958025

North-Holland A gain matrix decomposition and some of its applications

  title={North-Holland A gain matrix decomposition and some of its applications},
  author={S. A.},
  • S. A.
  • Published 2002
  • Mathematics
Any real square matrix M can be written as M = U(I + L)S, where U is a matrix of0's, l's and l's having exactly one nonzero element in each row and column, L is a strictly lower triangular matrix, and S is a {symmetric}, positivesemidefinite matrix. The aim O f this paper is to demonstrate the utility of this easily derived fact. This is done in two ways. First, the decomposition is used to develop an identifier-based solution to a simplified multivariable adaptive stabilization problem solved… 


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