Brief paper: Input-to-state stability of switched systems and switching adaptive control
Automatica (Journal of IFAC)
Invertibility of switched linear systems
Automatica (Journal of IFAC)
On stability, L2-gain and H∞ control for switched systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Brief paper: On linear co-positive Lyapunov functions for sets of linear positive systems
Automatica (Journal of IFAC)
IEEE Transactions on Circuits and Systems II: Express Briefs
Robust fault detection for switched linear systems with state delays
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Brief paper: Positivity-preserving H∞ model reduction for positive systems
Automatica (Journal of IFAC)
Stability and L2-gain analysis for switched delay systems: A delay-dependent method
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 |
In this paper, the problems of stability for switched positive linear systems (SPLSs) under arbitrary switching are investigated in a continuous-time context. The so-called ''copositive polynomial Lyapunov function'' (CPLF) giving a generalization of copositive types of Lyapunov function is first proposed, which is formulated in a higher order form of the positive states of the underlying systems. It is illustrated in this paper that some classical types of Lyapunov functions can be seen as special cases of the proposed CPLF. Then, new stability conditions are developed by the new Lyapunov function approach. It is also proved that the conservativeness of the obtained criteria can be further reduced as the degree of the Lyapunov function increases. A numerical example is given to demonstrate the effectiveness and less conservativeness of the developed techniques.