Title :
Characterization and Stability of Autonomous Positive Descriptor Systems
Author :
Rami, M.A. ; Napp, D.
Author_Institution :
Dept. de Ing. de Sist. y Autom., Univ. of Valladolid, Valladolid, Spain
Abstract :
This note addresses two problems: the characterization of positivity of autonomous descriptor systems and the problem of finding conditions for their stability. For these fundamental issues, we provide necessary and sufficient conditions complemented with a numerically reliable computational approach. The given conditions can be checked by means of linear programming (LP). Also, we derive a necessary and sufficient condition for stability that is connected to the underlying eigenstructure of the system.
Keywords :
linear programming; stability; vocabulary; Stability stability; autonomous positive descriptor systems; linear programming; numerically reliable computational approach; Eigenvalues and eigenfunctions; Equations; Kernel; Linear matrix inequalities; Linear systems; Stability analysis; Stress;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2012.2190211
