Stability of continuous-time linear time-invariant systems, with worked examples.
Now playing · Lecture 01
Continuous-Time LTI System Stability
The total response examples we worked previously show how the system response is highly dependent on the characteristic modes of the system. We define system stability in this video based on characteristic mode behavior, e.g. the location of characteristic roots in the complex plane.
The three classes of stability defined include stable, unstable, and marginally stable. We show a variety of examples of how location of the characteristic roots determines the zero-state response of the system (i.e. its stability).
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