ABSTRACT
The original linear (usually linearized) mathematical models of physical dynamical systems result often directly in the form of time-invariant linear vector Input-Output (IO) differential equation of the form (2.1), () ∑ k = 0 k = ν A k Y ( k ) ( t ) = ∑ k = 0 k = μ B k I ( k ) ( t ) , d e t A ν ≠ 0 , ∀ t ∈ T 0 , ν ≥ 1 , 0 ≤ μ ≤ ν , Y ( k ) ( t ) = d k Y ( t ) d t k , A k ∈ ℜ N × N , B k ∈ ℜ N × M , k = 0 , 1 , .. , ν , μ < ν ⇒ B i = O N , M , i = μ + 1 , μ + 2 , … , ν . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315116556/90c0bd96-ab37-432d-97ec-3597bc845302/content/eq100.tif"/>
