Rank invariants of nonlinear systems
SIAM Journal on Control and Optimization
Lie-Algebraic Stability Criteria for Switched Systems
SIAM Journal on Control and Optimization
Proceedings of the First International Workshop on Hybrid Systems: Computation and Control
HSCC '98 Proceedings of the First International Workshop on Hybrid Systems: Computation and Control
Brief paper: Input-to-state stability of switched systems and switching adaptive control
Automatica (Journal of IFAC)
Observability of linear hybrid systems
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Observability of switched linear systems in continuous time
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
Controllability and reachability criteria for switched linear systems
Automatica (Journal of IFAC)
Controllers for reachability specifications for hybrid systems
Automatica (Journal of IFAC)
Invertibility of switched nonlinear systems
Automatica (Journal of IFAC)
Observability implies observer design for switched linear systems
Proceedings of the 14th international conference on Hybrid systems: computation and control
Improved results on stability of continuous-time switched positive linear systems
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
We address the invertibility problem for switched systems, which is the problem of recovering the switching signal and the input uniquely given an output and an initial state. In the context of hybrid systems, this corresponds to recovering the discrete state and the input from partial measurements of the continuous state. In solving the invertibility problem, we introduce the concept of singular pairs for two systems. We give a necessary and sufficient condition for a switched system to be invertible, which says that the individual subsystems should be invertible and there should be no singular pairs. When the individual subsystems are invertible, we present an algorithm for finding switching signals and inputs that generate a given output in a finite interval when there is a finite number of such switching signals and inputs. Detailed examples are included.