Maximum principle for optimal boundary control of the Kuramoto–Sivashinsky equation

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2009.10.008 ◽

2010 ◽

Vol 347 (2) ◽

pp. 467-482 ◽

Author(s):

Bing Sun

Keyword(s):

Maximum Principle ◽

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Sivashinsky Equation

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Dual regularization and Pontryagin’s maximum principle in a problem of optimal boundary control for a parabolic equation with nondifferentiable functionals

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543811090124 ◽

2011 ◽

Vol 275 (S1) ◽

pp. 161-177 ◽

Author(s):

M. I. Sumin

Keyword(s):

Parabolic Equation ◽

Maximum Principle ◽

Boundary Control ◽

Pontryagin’S Maximum Principle ◽

Pontryagin's Maximum Principle ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Dual Regularization ◽

Nondifferentiable Functionals

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Optimal Boundary Control of the Longitudinal Vibrations of a Rod Using a Maximum Principle

Journal of Vibration and Control ◽

10.1177/107754639700300206 ◽

1997 ◽

Vol 3 (2) ◽

pp. 235-254 ◽

Author(s):

I.S. Sadek ◽

J.M. Sloss ◽

S. Adali ◽

J.C. Bruch

Keyword(s):

Maximum Principle ◽

Boundary Control ◽

Longitudinal Vibrations ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimal boundary control of Kuramoto-Sivashinsky equation

2009 American Control Conference ◽

10.1109/acc.2009.5160231 ◽

2009 ◽

Author(s):

Stevan Dubljevic

Keyword(s):

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Sivashinsky Equation

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Optimal Boundary Control of a Timoshenko Beam via Maximum Principle

Modelling, Simulation and Identification / 841: Intelligent Systems and Control ◽

10.2316/p.2016.840-011 ◽

2016 ◽

Author(s):

Seda Göktepe Körpeoğlu ◽

Kenan Yıldırım ◽

İsmail Küçük

Keyword(s):

Maximum Principle ◽

Boundary Control ◽

Timoshenko Beam ◽

Optimal Boundary ◽

Optimal Boundary Control

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Pontryagin's maximum principle for optimal boundary control of a generalised Korteweg–de Vries equation

International Journal of Systems Science ◽

10.1080/00207720903151300 ◽

2010 ◽

Vol 41 (6) ◽

pp. 699-708

Author(s):

Bing Sun

Keyword(s):

Maximum Principle ◽

Boundary Control ◽

Vries Equation ◽

Pontryagin’S Maximum Principle ◽

Pontryagin's Maximum Principle ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

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A Maximum Principle for Optimal Boundary Control of Multiply-Connected Vibrating Plates

Journal of Vibration and Control ◽

10.1177/107754630000600604 ◽

2000 ◽

Vol 6 (6) ◽

pp. 875-902 ◽

Author(s):

J.M. Sloss ◽

J.C. Bruch ◽

I.S. Sadek ◽

S. Adali

Keyword(s):

Maximum Principle ◽

Boundary Control ◽

Multiply Connected ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Vibrating Plates

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Regularization of the Pontryagin maximum principle in the problem of optimal boundary control for a parabolic equation with state constraints in Lebesgue spaces

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki ◽

10.20537/vm170202 ◽

2017 ◽

Vol 27 (2) ◽

pp. 162-177 ◽

Author(s):

A.A. Gorshkov ◽

◽

M.I. Sumin ◽

Keyword(s):

Parabolic Equation ◽

Maximum Principle ◽

Boundary Control ◽

Pontryagin Maximum Principle ◽

State Constraints ◽

Lebesgue Spaces ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

The Pontryagin Maximum Principle

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Computation of a Constrained Optimal Boundary Control for the Heat Equation

10.23919/acc.1982.4787846 ◽

1982 ◽

Author(s):

Thomas I. Seidman

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control

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Existence of optimal boundary control for the Navier–Stokes equations with mixed boundary conditions

Portugaliae Mathematica ◽

10.4171/pm/1968 ◽

2015 ◽

Vol 72 (2) ◽

pp. 267-283 ◽

Author(s):

Telma Guerra ◽

Adélia Sequeira ◽

Jorge Tiago

Keyword(s):

Boundary Conditions ◽

Boundary Control ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Optimal Boundary Control

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An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types

Doklady Mathematics ◽

10.1134/s1064562408030198 ◽

2008 ◽

Vol 77 (3) ◽

pp. 391-395 ◽

Author(s):

V. A. Il’in

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Analytic Form ◽

Optimal Boundary ◽

Optimal Boundary Control

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