MMN-367
Diagonal common quadratic Lyapunov functions for sets of positive LTI systems
Xiu Liu; Lan Shu; Xiuyong Ding;Abstract
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.
Vol. 15 (2014), No. 2, pp. 593-602