
76 Cyber-Physical Systems: From Theory to Practice
Controller i
Initial states
Controller (i+1)
Controller (i+2)
MSR(i)
MSR(i)
Reach
set (i)
Reach
set (i+1)
MSR (i+1)
MSR(i+1)
MSR(i+2)
MSR (i+2)
FIGURE 3.9 Illustration of switching MSR and reach set.
all switching signals. The common Lyapunov function method is one possible way for stability anal-
ysis of the system under switching [15,28]. It is already proven that, if there is a common Lyapunov
function for all the subsystems, the stability of the system is guaranteed. However, this method may
not be applicable when there are constraints on states or inputs.
To overcome this difficulty, we assess the stability ...