Stability and Eigenvalues: What does it mean to be a "stable" eigenvalue?
This video clarifies what it means for a system of linear differential equations to be stable in terms of its eigenvalues. Specifically, we show that if all (potentially complex) eigenvalues have negative real part, then the system is stable. If even a single eigenvalue has positive real part, then the system is unstable.
Playlist: • Engineering Math: Differential Equati...
Course Website: http://faculty.washington.edu/sbrunto...
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This video was produced at the University of Washington
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