Name
Abstract | ||
|---|---|---|
We present results for the analysis of input/output properties of a general class of hybrid systems given by a flow set, a flow map, a jump set, a jump map, and an output map. For this class of systems, the notion of input-output-to-state stability is introduced in the first part of the technical note. Under mild assumptions on the functions and sets defining a hybrid system, sufficient conditions for this notion in terms of Lyapunov functions are derived. Equivalences between Lyapunov functions for input-output-to-state stability for asymptotic and exponential decay rates are established. The sufficient conditions and equivalences are linked to the existence of norm observers for hybrid systems. These results are used in the second part of the technical note to study interconnections of hybrid systems. An interconnection result in terms of a Lyapunov-based small gain theorem is also presented. Examples illustrate the results. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TAC.2013.2292455 | Automatic Control, IEEE Transactions |
Keywords | Field | DocType |
Lyapunov methods,asymptotic stability,continuous systems,discrete systems,input-output stability,Lyapunov functions,Lyapunov-based small gain theorem,asymptotic decay rate,exponential decay rate,flow map,flow set,hybrid systems,input-output-to-state stability tools,interconnections,jump map,jump set,norm observers,output map,suflicient conditions,Hybrid control,Lyapunov functions,hybrid systems,input-output stability,small gain theorem | Lyapunov function,Mathematical optimization,Lyapunov equation,Control theory,Lyapunov redesign,Exponential stability,Hybrid system,Lyapunov exponent,Mathematics,Small-gain theorem,Stability theory | Journal |
Volume | Issue | ISSN |
59 | 5 | 0018-9286 |
Citations | PageRank | References |
11 | 0.57 | 16 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ricardo G. Sanfelice | 1 | 216 | 27.88 |