Controllability and reachability criteria for switched linear systems
Automatica (Journal of IFAC)
Complexity of stability and controllability of elementary hybrid systems
Automatica (Journal of IFAC)
Analysis and synthesis of switched linear control systems
Automatica (Journal of IFAC)
Optimal control of switching systems
Automatica (Journal of IFAC)
State feedback singular H∞ control for switched linear systems
Control and Intelligent Systems
| Hi-index | 22.14 |
In this paper, we establish the equivalence among switched convergency, asymptotic stabilizability, and exponential stabilizability for force-free switched linear systems, and discuss the implication to the infinite-time horizon optimal switching problem. We show that, for a general cost function under mild assumptions, the finiteness of the optimal cost is equivalent to the asymptotic stabilizability of the switched linear system. Finally, we prove the equality between the optimal costs for the switched system and for the relaxed differential inclusion.