Given a linear time invariant system $\dot X(t) = AX(t)$ where $X \in {R^{n \times 1}}$ and $A \in {R^{n \times n}}$ is a singular matrix ($A$ has at least one zero eigenvalue). How can I study the stability of this system without computing the eigenvalues? Is it possible to apply Lyapunov theorems?
2026-03-28 16:19:30.1774714770
Stability of linear systems with singular state matrix
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