Numerical Methods for Linear Control Systems

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A linear time-invariant continuous-time dynamical system in state-space is described by the matrix differential equations of the form: x(t) = Ax(t) + Bu(t); x(t0) = x0, t t0 (1.0.1) y(t) = Cx(t) + Du(t), (1.0.2) where A, B, C, and D are real time-invariant n x n state matrix, n x m(m n) input matrix, r x n(r n) output matrix, and r x m direct transmission matrix, respectively.