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This paper researches a base for a judgment of stability control for a class of linear time-invariant systems with time-periodic inputs. By dynamic theory and methods, it is proved that in certain parameter region, for arbitrary time-periodic input, the system has a unique periodic solution attracting any bounded set exponentially. As an application, stability for a model of the forest with seasonal...
A causal realization of an inverse system can be unstable and an anti-casual realization is to deal with this problem to provide a numerically stable procedure to inverse the system and compute its input signal. In this paper, we consider the anti-causal realization of the inverse of discrete time linear periodic systems obtained by an outer-inner factorization approach. It is shown that the outer-inner...
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