TY - JOUR
T1 - Necessary and sufficient conditions for stability of switched nonlinear systems
AU - Zhu, Liying
AU - Feng, Gang
PY - 2015/1/1
Y1 - 2015/1/1
N2 - This paper investigates stability/asymptotic stability of switched nonlinear systems with potentially unstable subsystems. At first, switched nonlinear Hamiltonian-type systems are considered and several necessary and sufficient conditions of stability/asymptotic stability are developed via the maximum energy function based method. Based on the new stability results obtained and the method of Hamiltonian realization, several necessary and sufficient conditions of stability/asymptotic stability are then presented for ordinary switched nonlinear systems with potentially unstable subsystems. A numerical example and its simulations illustrate the effectiveness of the obtained stability results.
AB - This paper investigates stability/asymptotic stability of switched nonlinear systems with potentially unstable subsystems. At first, switched nonlinear Hamiltonian-type systems are considered and several necessary and sufficient conditions of stability/asymptotic stability are developed via the maximum energy function based method. Based on the new stability results obtained and the method of Hamiltonian realization, several necessary and sufficient conditions of stability/asymptotic stability are then presented for ordinary switched nonlinear systems with potentially unstable subsystems. A numerical example and its simulations illustrate the effectiveness of the obtained stability results.
UR - http://www.scopus.com/inward/record.url?scp=84919362591&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84919362591&origin=recordpage
U2 - 10.1016/j.jfranklin.2014.10.011
DO - 10.1016/j.jfranklin.2014.10.011
M3 - RGC 21 - Publication in refereed journal
SN - 0016-0032
VL - 352
SP - 117
EP - 137
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 1
ER -