Title :
On a convex characterisation of stability and performance for hybrid linear systems
Author :
Matheus Souza;José C. Geromel
Author_Institution :
School of Electrical, Electronic and Communications Engineering, University College Dublin (UCD), Ireland
Abstract :
Hybrid linear systems stability and performance are analysed in the context of semidefinite programming with conditions expressed by LMIs. First, new convex conditions for the global asymptotic stability of the origin are presented. These conditions are then generalised to provide a unified convex characterisation of performance for stable hybrid linear systems involving measures similar to ℋ2 and ℋ∞ norms. Academic examples illustrate the developed theory.
Keywords :
"Linear systems","Asymptotic stability","Boundary value problems","Symmetric matrices","Stability criteria","Differential equations"
Conference_Titel :
Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
DOI :
10.1109/CDC.2015.7403262
