Brief paper: On linear co-positive Lyapunov functions for sets of linear positive systems
Automatica (Journal of IFAC)
Stability analysis of positive systems with bounded time-varying delays
IEEE Transactions on Circuits and Systems II: Express Briefs
Brief paper: Positivity-preserving H∞ model reduction for positive systems
Automatica (Journal of IFAC)
Brief paper: Stability of switched positive linear systems with average dwell time switching
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
This paper addresses the L"~-gain analysis problem of positive linear systems with distributed delays. By virtue of the positivity and linearity of the system, we first study the monotonic and asymptotic property of the system with distributed delays. Then, by resorting to an auxiliary system without time delay, an explicit expression of the L"~-gain of positive systems with distributed delays is given in terms of system matrices. Moreover, the results are extended to positive systems with distributed delays over a bounded time-varying interval. Finally, a necessary and sufficient condition on the L"~-gain of an asymptotically stable positive system with distributed delays is presented via linear programming.