ABSTRACT
Mathematical models of dynamic systems are derived with their intended use in mind. For example, systems with fast internal dynamics driven by inputs that change infrequently (relative to the system time constants) reside in steady state the majority of the time. Accordingly, the model consists of a system of coupled, possibly nonlinear, algebraic equations. In this context, a solution (or solutions) defines an equilibrium state (or states) corresponding to fixed values of the system inputs. When one or more inputs change, a stable system transitions from one equilibrium state to another and the dynamics, that is, transient response, is ignored. Solving the steady-state algebraic equations for an equilibrium solution is rarely a straightforward task, particularly when dealing with nonlinear systems.
