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[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.
  • Classification : 93Dxx, 65Fxx, 34Axx
  • Format : Online Talk on Zoom
  • Author(s) :
    • Mohit Kumar Baghel (Indian Institute of Technology Delhi)
    • Nicolas Gillis (Université de Mons)
    • Punit Sharma (Indian Institute of Technology Delhi)