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The increasing interests in H- index leads to some recent development in time domain investigation. This paper presents a necessary and sufficient condition of H- index in a finite time horizon for linear time-varying systems. It shows that the existence of a lower bound of H- index is equivalent to the existence of a certain backward differential Riccati equation. When applied to a linear time-invariant...
Several robust fault detection problems for linear discrete time-varying systems have been given in this paper. It is shown that the optimal robust detection filters for those well-recognized robust fault detection problems, such as ℋ-/ℋ∞, ℋ2/ℋ∞ and ℋ∞/ℋ∞ problems, have the same observer structure, whose gain can be obtained by solving a standard difference Riccati equation. Furthermore, the solution...
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