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14: Internal stability for LTI systems

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    24324
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    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.


    This page titled 14: Internal stability for LTI systems is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Mohammed Dahleh, Munther A. Dahleh, and George Verghese (MIT OpenCourseWare) via source content that was edited to the style and standards of the LibreTexts platform.