Averaging and stability of time-varying discrete-time linear systems ⋆
نویسنده
چکیده
Stability results for time-varying systems with output averaged using the norm are established. The discrete-time linear system is considered under a bound on time-average on the mean-value of the output norm. It is shown that under controllability, observability and a uniform bound on the matrix norm, the time-varying system is asymptotically and uniformly stable. If, in addition, the solution of the autonomous part of the system state is almost periodic, then under an additional limiting condition the system is uniformly asymptotically stable.
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