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- W2805834636 abstract "In this paper, we formulate and prove new results in the context of storage functions for lossless systems: we use these results to propose new algorithms to compute the storage function. The computation of the storage function for the lossless case is not possible using conventional algebraic Riccati equation-based algorithms, though the storage function itself is well-defined. This is because a certain “regularity condition” on the feedthrough term in the i/s/o representation of the lossless system does not hold. We formulate new results about the storage function matrix for the lossless case and use them to propose non-iterative and stable algorithms to compute the storage function directly from different representations of the given system, namely, a kernel representation, transfer function, and the i/s/o representation of the system. Across the methods, for randomly generated transfer functions, we compare: 1) the computational effort (in flops); 2) the computation time using numerical experiments; and 3) the computational error." @default.
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- W2805834636 date "2018-12-01" @default.
- W2805834636 modified "2023-09-27" @default.
- W2805834636 title "Lossless Systems Storage Function: New Results and Numerically Stable and Non-Iterative Computational Methods" @default.
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- W2805834636 doi "https://doi.org/10.1109/tcsi.2018.2835528" @default.
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