Linear stochastic degenerate Sobolev equations and applications†

DOI10.1080/00207179.2015.1048482zbMath1335.93119OpenAlexW2170759986MaRDI QIDQ2799293

Athanasios A. Pantelous, Ioannis G. Stratis, Konstantinos B. Liaskos

Publication date: 8 April 2016

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2015.1048482

zbMATH Keywords

exact controllabilityMaxwell equationsDirac equationinput-output analysissingular systems in infinite dimensionsstochastic backward equations in Hilbert spacesstochastic degenerate Sobolev equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Controllability (93B05) Control/observation systems in abstract spaces (93C25) Stochastic systems in control theory (general) (93E03)

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Cites Work

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• Stochastic impulse control of parabolic systems of Sobolev type
• A priori estimates for a singular limit approximation of the constitutive laws for chiral media in the time domain
• Semigroups of linear operators and applications to partial differential equations
• On generalized linear regular delay systems
• On the solution of higher order linear homogeneous complex \(\sigma-\alpha\) descriptor matrix differential systems of Apostol-Kolodner type
• A survey of linear singular systems
• Abstract stochastic equations. I: Classical and distributional solutions
• Linear stochastic differential-algebraic equations with constant coefficients
• Strong, mild and weak solutions of backward stochastic evolution equations
• On Generalized Regular Stochastic Differential Delay Systems with Time Invariant Coefficients
• Pseudoparabolic equations with additive noise and applications
• Adapted solution of a backward semilinear stochastic evolution equation
• Linear Quadratic Optimal Stochastic Control with Random Coefficients
• One-Parameter Semigroups for Linear Evolution Equations
• Linear Backward Stochastic Differential Equations of Descriptor Type: Regular Systems
• Semigroup theory of degenerate linear Cauchy problems
• Abstract Cauchy problem. Semigroup, distribution, and regularization methods.