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Algebraic conditions for stability analysis of linear time-invariant distributed order dynamic systems: a lagrange inversion theorem approach

Taghavian, H ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1002/asjc.1780
  3. Publisher: Wiley-Blackwell , 2018
  4. Abstract:
  5. BIBO stability of linear time-invariant (LTI) distributed order dynamic systems with non-negative weight functions is investigated in this paper by using Lagrange inversion theorem. New sufficient conditions of stability/instability are presented for these systems accordingly. These algebraically simple conditions are relatively tight and their conservatism is adjustable. © 2018 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
  6. Keywords:
  7. Distributed order system ; Lagrange inversion theorem ; Stability analysis ; Lagrange multipliers ; Algebraic conditions ; BIBO stability ; Lagrange inversion ; Linear time invariant ; Order systems ; Stability/instability ; Weight functions ; System stability
  8. Source: Asian Journal of Control ; 2018 ; 15618625 (ISSN)
  9. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/asjc.1780