Exponential stability of distributed parameter systems governed by symmetric hyperbolic partial differential equations using Lyapunov's second method

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2008033 ◽

2008 ◽

Vol 15 (2) ◽

pp. 403-425 ◽

Author(s):

Abdoua Tchousso ◽

Thibaut Besson ◽

Cheng-Zhong Xu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Exponential Stability ◽

Distributed Parameter Systems ◽

Hyperbolic Partial Differential Equations ◽

Distributed Parameter ◽

Partial Differential ◽

Lyapunov’S Second Method

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Fault diagnosis of a class of distributed parameter systems modeled by parabolic partial differential equations

2014 American Control Conference ◽

10.1109/acc.2014.6858836 ◽

2014 ◽

Author(s):

Hasan Ferdowsi ◽

S. Jagannathan

Keyword(s):

Fault Diagnosis ◽

Partial Differential Equations ◽

Differential Equations ◽

Distributed Parameter Systems ◽

Distributed Parameter ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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Identification of distributed-parameter systems by stochastic solution of partial differential equations

Cybernetics ◽

10.1007/bf01068508 ◽

1974 ◽

Vol 8 (2) ◽

pp. 340-343 ◽

Author(s):

P. A. Moroz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Distributed Parameter Systems ◽

Distributed Parameter ◽

Partial Differential ◽

Stochastic Solution

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Fault isolation in distributed parameter systems modeled by parabolic partial differential equations

2016 American Control Conference (ACC) ◽

10.1109/acc.2016.7525607 ◽

2016 ◽

Author(s):

Jia Cai ◽

S. Jagannathan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Distributed Parameter Systems ◽

Fault Isolation ◽

Distributed Parameter ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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Application of the regularization method to some singularly perturbed hyperbolic partial differential equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/1847/1/012013 ◽

2021 ◽

Vol 1847 (1) ◽

pp. 012013

Author(s):

I V Zakharova

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Regularization Method ◽

Singularly Perturbed ◽

Hyperbolic Partial Differential Equations ◽

Partial Differential

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Hyperbolic partial differential equations: populations, reactors, tides and waves

Mathematical Biosciences ◽

10.1016/0025-5564(85)90032-x ◽

1985 ◽

Vol 74 (1) ◽

pp. 139 ◽

Author(s):

Stuart Hastings

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Hyperbolic Partial Differential Equations ◽

Partial Differential

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A three-step wavelet Galerkin method for parabolic and hyperbolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160500112985 ◽

2006 ◽

Vol 83 (1) ◽

pp. 143-157 ◽

Author(s):

Rathish B. V. Kumar ◽

Mani Mehra

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Galerkin Method ◽

Hyperbolic Partial Differential Equations ◽

Partial Differential ◽

Wavelet Galerkin Method

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Practical exponential stability in mean square of stochastic partial differential equations

Collectanea mathematica ◽

10.1007/s13348-014-0124-9 ◽

2014 ◽

Vol 66 (2) ◽

pp. 261-271 ◽

Author(s):

Tomás Caraballo ◽

Mohamed Ali Hammami ◽

Lassaad Mchiri

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Exponential Stability ◽

Stochastic Partial Differential Equations ◽

Mean Square ◽

Partial Differential ◽

Stability In Mean Square

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Necessary conditions for optimality in problems with hyperbolic partial differential equations

Demonstratio Mathematica ◽

10.1515/dema-1990-0310 ◽

1990 ◽

Vol 23 (3) ◽

Author(s):

Andrzej Rogowski

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Necessary Conditions ◽

Hyperbolic Partial Differential Equations ◽

Partial Differential ◽

Necessary Conditions For Optimality

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The exponential stability of neutral stochastic delay partial differential equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2007.18.295 ◽

2007 ◽

Vol 18 (2/3, June) ◽

pp. 295-313 ◽

Author(s):

T. Taniguchi ◽

José Real ◽

Tomás Caraballo

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Exponential Stability ◽

Partial Differential ◽

Stochastic Delay ◽

Delay Partial Differential Equations

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Parabolic and Hyperbolic Partial Differential Equations

Lectures on Numerical Mathematics ◽

10.1007/978-1-4612-3468-5_11 ◽

1990 ◽

pp. 358-389

Author(s):

Heinz Rutishauser

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Hyperbolic Partial Differential Equations ◽

Partial Differential

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