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eess.SY2026
A Duality Reformulation of the Companion-Matrix Lyapunov Problem
Augusto Ferrante
We study the relation between positive semidefiniteness and entrywise nonnegativity for solutions of continuous-time Lyapunov equations. For a real Hurwitz matrix , we show that…
eess.SY2026
On the Lyapunov equation with the state matrix in companion form
Augusto Ferrante
We study the continuous-time Lyapunov equation under the assumption that the state matrix is a Hurwitz companion matrix. The standard Lyapunov theory implies that the unique soluti…