We discuss the properties of causal LTI operators on weighted ?2 spaces for different choices of the weighting sequence {w(t)}t∈Z. Problems of closability of unstable causal LTI convolution operators are also disc...We discuss the properties of causal LTI operators on weighted ?2 spaces for different choices of the weighting sequence {w(t)}t∈Z. Problems of closability of unstable causal LTI convolution operators are also discussed. We shall provide a new type of argument concerning causal LTI operators and robust design that can be applied to a large class of weighted ?2 spaces on Z.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11271059)
文摘We discuss the properties of causal LTI operators on weighted ?2 spaces for different choices of the weighting sequence {w(t)}t∈Z. Problems of closability of unstable causal LTI convolution operators are also discussed. We shall provide a new type of argument concerning causal LTI operators and robust design that can be applied to a large class of weighted ?2 spaces on Z.