6 problems

Let $\beta\in\mathbb{R}_{>1}$, let $c$ be the contraction factor associated with $A_2$, and let ${\cal M}(\theta,c,\beta)$ denote the corresponding switched-system matrix family. I…

Let $d4a2,d4a2$ be path-complete Lyapunov functions in $d52f\mathrm{pc}(\Sigma)$ satisfying Assumption. Suppose that $d53d$ is a subset of linear invertible maps. The composition-l…

Average-dwell-time stability equivalence conjecture. For every $\tau>0$, System $$ is $\tau\text{-UGB}$ if and only if it is UGAS with respect to $\mathcal{S}_{\mathrm{adw}}(\tau,N…

Let $M\in\mathbb{Z}^{+}$ and let … Suppose that the switched system under consideration is robust feedback stabilizable. Non-conservatism conjecture. There exists an…

Mason–Shorten–Angeli conjecture. If the system is a positive linear switched system, then this Hurwitz condition is sufficient for global uniform asymptotic stability.

Let $\boldsymbol{S}=\{S_1,S_2\}\subset\mathbb{R}^{d\times d}$, with $d\geq 4$, be an arbitrary pair satisfying condition (1.3a), namely that the matrices share a common non-strict…