Skip to main content
Engineering LibreTexts

14: Internal stability for LTI systems

  • Page ID
  • Constructing a Lyapunov function for an arbitrary nonlinear system is not a trivial exercise. The complication arises from the fact that we cannot restrict the class of functions to search from in order to prove stability. The situation is different for LTI systems. In this chapter, we address the question of constructing Lyapunov functions for linear systems and then we present and verify Lyapunov indirect method for proving stability of a nonlinear system.

    • Was this article helpful?