Linear time-invariant models of dynamic systems are termed “stiff” when the time constants, or more specifically the characteristic roots (eigenvalues of the system matrix A), vary significantly in magnitude. For nonlinear system models, the concept applies to the characteristic roots of a linearized model that represents the dynamics of the nonlinear system in some operating region. Linearization of nonlinear systems is discussed in Chapter 7.
Systems tend to be stiff for a number of reasons. Mechanical systems composed of stiff and soft components exhibit resonant frequencies that differ greatly in magnitude. The natural response of certain electrical networks contains spikes, which die out rapidly in comparison to terms with ...
Get Simulation of Dynamic Systems with MATLAB® and Simulink®, 3rd Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
