Generalized state-space systems

We present here a summary of the results of [1]. Related work appears in [15], [16]. We consider the time-invariant system of r first-order coupled linear differential equations E x(t) = A x(t) + B u(t) (1a) y(t) = C x(t) (1b) where x is an r-vector of internal variables, u is an m-vector of control inputs or forcing functions, and y is a p-vector of outputs.