Diagonal common quadratic Lyapunov functions for sets of positive LTI systems. (English) Zbl 1324.37008
Summary: This paper focuses on the problems of a diagonal common quadratic Lyapunov function (DCQLF) existence for sets of stable positive linear time-invariant (LTI) systems. We derive the equivalent algebraic conditions to verify the existence of a DCQLF, namely that the finite number Hurwitz Mezler matrices at least have a common diagonal Stein solution. Finally some reduced cases are considered.
MSC:
37B25 | Stability of topological dynamical systems |
47B07 | Linear operators defined by compactness properties |
39B42 | Matrix and operator functional equations |