Finding the nearest passive or nonpassive system via Hamiltonian eigenvalue optimization

A Fazzi, N Guglielmi, C Lubich - SIAM Journal on Matrix Analysis and …, 2021 - SIAM
We propose and study an algorithm for computing a nearest passive system to a given
nonpassive linear time-invariant system (with much freedom in the choice of the metric …

Imaginary axis eigenvalues of Hamiltonian matrix: controllability, defectiveness and the ϵ-characteristic

A Kothyari, C Bhawal, MN Belur… - International Journal of …, 2023 - Taylor & Francis
The eigenstructure of imaginary axis eigenvalues of a Hamiltonian matrix is of importance in
many fields of control systems, for example, in stability analysis of linear Hamiltonian …