ABSTRACT

State model: For linear time-varying systems, this is amathematical representation of the system in terms of state equations of the form x˙(t) = A(t)x(t)+B(t)u(t), y(t) = C(t)x(t)+D(t)u(t).

State-transition matrix: The matrix Φ(t, t0) where Φ(t, t0)x(t0) is the state at time t starting with state x(t0) at time t0 and with no input applied for t ≥ t0.