Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 62, Issue 12, Pages 6608-6613Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2713951
Keywords
Disturbance; linear copositive Lyapunov function; positive switched system; stabilization
Funding
- National Natural Science Foundation of China [61473133, 61673242, 61374074]
- Natural Science Foundation of Shandong Province [JQ201119]
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In this note, we study the stabilization problem of positive switched linear system (PSLS) with disturbance. By introducing a class of weak common linear copositive Lyapunov functions, we design time-dependent switching rules under which the system is asymptotically stable. Both continuous-time and discrete-time PSLS are taken into consideration, and the obtained results are also extended to nonpositive switched systems. Finally, the theoretical results are applied to consensus problem of multiagent systems with switching topologies and disturbance.
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