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  • Kombinatorische Chemie  (1)
  • Petri nets  (1)
  • Polymer and Materials Science  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Discrete event dynamic systems 5 (1995), S. 383-403 
    ISSN: 1573-7594
    Keywords: Discrete event systems ; stability ; boundedness ; Petri nets ; manufacturing systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Recently it has been shown that the conventional notions of stability in the sense of Lyapunov and asymptotic stability can be used to characterize the stability properties of a class of “logical” discrete event systems (DES). Moreover, it has been shown that stability analysis via the choice of appropriate Lyapunov functions can be used for DES and can be applied to several DES applications including manufacturing systems and computer networks (Passino et al. 1994, Burgess and Passino 1994). In this paper we extend the conventional notions and analysis of uniform boundedness, uniform ultimate boundedness, practical stability, finite time stability, and Lagrange stability so that they apply to the class of logical DES that can be defined on a metric space. Within this stability-theoretic framework we show that the standard Petri net-theoretic notions of boundedness are special cases of Lagrange stability and uniform boundedness. In addition we show that the Petri ent-theoretic approach to boundedness analysis is actually a Lyapunov approach in that the net-theoretic analysis actually produces an appropriate Lyapunov function. Moreover, via the Lyapunov approach we provide a sufficient condition for the uniform ultimate boundedness of General Petri nets. To illustrate the Petri net results, we study the boundedness properties of a rate synchronization network for manufacturing systems. In addition, we provide a detailed analysis of the Lagrange stability of a single-machine manufacturing system that uses a priority-based part servicing policy.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 0006-3525
    Keywords: trans-2,3-methanomethionine ; α-methylmethionine ; peptidomimetics ; stereoisomers ; cyclopropyl amino acids ; Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A comparative study of four peptidomimetics of the sequence Phe-Met-Arg-Phe-amide (FMRFa) was performed to compare the conformational bias caused by trans-2,3-methanomethionine and α-methylmethionine stereoisomers. The specific compounds studied were F[(2S,3S)-cyclo-M] RFa, F[(2R,3R)-cyclo-M]RFa, F[(S)-α-MeM]RFa, and F[(R)-α-MeM]RFa. Molecular simulations based on CHARMm 22 indicate that γ-turn, inverse γ-turn, and α-helical conformations about the cyclo-M residue are accessible to the two F[cyclo-M]RFa stereoisomers. Similar calculations for F[(S)-α-MeM]RFa, and F[(R)-α-MeM]RFa indicate that the α-methylamino acids tend to favor α-helical conformations. The nmr data is presented for the four peptidomimetics. Most informative were the rotating frame nuclear Overhauser effect cross peaks between the NH protons proximal to the methionine surrogates, and the Cβ hydrogens. Overall, these nmr data indicate F[(2S,3S)-cyclo-M]RFa and F[(2R,3R)-cyclo-M]RFa preferentially adopt inverse γ-turn and γ-turn conformations, respectively, whereas F[(S)-α-MeM]RFa and F[(R)-α-MeM]RFa tend to form partial left- and right-handed helical structures (although energy differences between the two turn structures, and between the two helical structures are likely to be small). It is suggested that the wider NH-Cα-CO angle of cyclopropane amino acids and their more severe steric requirements around the Cβ carbons force the peptidomimetic N- and C-termini into the same region of conformational space. This favors C7 turns in the cyclopropane amino acid series relative to the less constrained α-methyl derivatives. © 1997 John Wiley & Sons, Inc. Biopoly 42: 439-453, 1997
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 0044-8249
    Keywords: Carbenkomplexe ; Insertionen ; Katalyse ; Kombinatorische Chemie ; Chemistry ; General Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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