A Necessary and Sufficient Condition for Matrix Solution Φ(t) of Φ(t) = A(t)Φ(t) to be a Fundamental Matrix

  • S. E. Aniaku
  • E. C. Mbah
  • C. C. Asogwa
  • P. U. Nwokoro
Keywords: Homogeneous system, Linear independent, Fundamental matrix, Trace of a matrix

Abstract

In this paper, the role played by fundamental matrix in the determination of solution x(t) of the control systems of the form (t) = A(t)x(t) + b(t) was ex-rayed. A necessary and sufficient condition for the matrix solution Φ(t) of (˙t) = A(t)Φ(t) to be a fundamental matrix was also given.
Published
2022-01-10
Section
Articles