[02585] Structured Dissipative mappings with their applications in Control Systems
Session Time & Room : 5D (Aug.25, 15:30-17:10) @D402
Type : Contributed Talk
Abstract : In this paper, we find necessary and sufficient conditions to identify pairs of matrices $X$ and $Y$ for which there exists $\Delta \in \mathbb C^{n,n}$ such that $\Delta+\Delta^*$ is positive semidefinite and $\Delta X=Y$.
Such a $\Delta$ is called a dissipative mapping taking $X$ to $Y$. The minimal-norm dissipative mapping is then used to determine the distance to asymptotic instability for dissipative-Hamiltonian systems under general structure-preserving perturbations.
