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By Johann Schumann, Pramod Gupta, Yan Liu (auth.), Johann Schumann, Yan Liu (eds.)

ISBN-10: 3642106897

ISBN-13: 9783642106897

ISBN-10: 3642106900

ISBN-13: 9783642106903

"Applications of Neural Networks in excessive coverage platforms" is the 1st e-book without delay addressing a key a part of neural community expertise: tools used to cross the cruel verification and validation (V&V) criteria required in lots of safety-critical functions. The ebook offers what forms of evaluate equipment were built throughout many sectors, and the way to cross the assessments. a brand new adaptive constitution of V&V is built during this booklet, diversified from the straightforward six sigma tools often used for large-scale platforms and various from the theorem-based method used for simplified part subsystems.

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Jang, and E. Lavretsky From Assumption 1, we have V˙ ≤ − qmin e −σ |λ| γmax We suppose that 2μ |λ|pmax ( xp qmin |λ| ˜ θ˜ 2 + σ θ γmin e − 2μ |λ|pmax ( xp qmin q q + μc ) (50) + μc ) ≤ c (51) for a constant c > 0. Then, we have V˙ ≤ − qmin e − c 2 + qmin 2 c 2 2 +σ −σ |λ| γmax γmax θ˜ − 2γmin 2 (52) |λ|γmax . 2 4γmin We define a compact set as ˜ qmin D = (e, θ) 2 |λ| γmax θ˜ − γmax 2γmin c 2 |λ|γmax +σ . 2 2 4γmin e − ≤ qmin 2 c 2 +σ (53) This shows that if the inequality in (51) holds, V˙ < 0 outside of D which ˜ In what follows, we will show that guarantees the boundedness of (e, θ).

References 1. American Power Conference. Proceesings of the American Power Conference 1998, vol. 60, 2 vol. set (1998) 2. American National Standards. Software Engineering Standards. IEEE, Wiley and Sons (1984) 3. : Adaptive Control. Addison-Wesley, Reading (1994) Application of Neural Networks in High Assurance Systems: A Survey 17 4. : Overview and literature survey of artificial neural networks applications to power systems (1992–2004). Journal - Institution of Engineers India. Electrical Engineering Division (86), 282–296 (2006) 5.

A best model is the one which can balance the need of a large likelihood (so that it can fit well with data) and the need of a network with simpler structure. Some recent research works investigate the optimal neural network problem using evolutionary computation (3; 14; 31; 35). , “survival of the fittest”). From Darwin’s theory, individuals in a population of reproductive organisms inherit traits from their parents; and the desirable traits become more common than the undesirable ones during evolution, due to the fact that the individuals with the desirable traits which “fit” better with the environment are more likely to reproduce.

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Applications of Neural Networks in High Assurance Systems by Johann Schumann, Pramod Gupta, Yan Liu (auth.), Johann Schumann, Yan Liu (eds.)

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