Propagation, observation, and control of waves approximated by finite difference methods
E Zuazua - SIAM review, 2005 - SIAM
This paper surveys several topics related to the observation and control of wave propagation
phenomena modeled by finite difference methods. The main focus is on the property of …
phenomena modeled by finite difference methods. The main focus is on the property of …
Boundary control in reconstruction of manifolds and metrics (the BC method)
MI Belishev - Inverse Problems, 1997 - iopscience.iop.org
One of the approaches to inverse problems based upon their relations to boundary control
theory (the so-called BC method) is presented. The method gives an efficient way to …
theory (the so-called BC method) is presented. The method gives an efficient way to …
[图书][B] Mathematical control theory for stochastic partial differential equations
Q Lü, X Zhang - 2021 - Springer
It is well-known that Control Theory was founded by N. Wiener in 1948 ([349]). After that, this
theory was greatly extended to various complicated setting and widely used in sciences and …
theory was greatly extended to various complicated setting and widely used in sciences and …
[图书][B] Inverse problems for partial differential equations
V Isakov - 2006 - Springer
In this chapter, we are interested in finding coefficients of the second-order hyperbolic
operator:(8.0. 1) a0∂ 2 t u+ Au= f in Q= Ω×(0, T) given the initial data (8.0. 2) u= u0,∂ tu= u1 …
operator:(8.0. 1) a0∂ 2 t u+ Au= f in Q= Ω×(0, T) given the initial data (8.0. 2) u= u0,∂ tu= u1 …
[图书][B] Observation and control for operator semigroups
Page 1 BIRKHAUSER Birkhäuser Advanced Texts Marius Tucsnak George Weiss Observation
and Control for Operator Semigroups Page 2 BIRKHAUSER Page 3 Birkhäuser Advanced …
and Control for Operator Semigroups Page 2 BIRKHAUSER Page 3 Birkhäuser Advanced …
[图书][B] Control and nonlinearity
JM Coron - 2007 - books.google.com
This book presents methods to study the controllability and the stabilization of nonlinear
control systems in finite and infinite dimensions. The emphasis is put on specific phenomena …
control systems in finite and infinite dimensions. The emphasis is put on specific phenomena …
Contrôle exact de léquation de la chaleur
G Lebeau, L Robbiano - Communications in Partial Differential …, 1995 - Taylor & Francis
Contróle Exact De Léquation De La Chaleur Page 1 COMMUN. IN PARTIAL DIFFERENTIAL
EQUATIONS, 20(1&2), 335-356 (1995) CONTROLE EXACT DE L'EQUATIOS DE LA CHALEUR …
EQUATIONS, 20(1&2), 335-356 (1995) CONTROLE EXACT DE L'EQUATIOS DE LA CHALEUR …
[图书][B] Carleman estimates and applications to inverse problems for hyperbolic systems
M Bellassoued, M Yamamoto - 2017 - Springer
In this book, focusing on hyperbolic systems, we give self-contained descriptions of•
derivations of Carleman estimates;• methods for application of Carleman estimates to …
derivations of Carleman estimates;• methods for application of Carleman estimates to …
Frictional versus viscoelastic damping in a semilinear wave equation
MM Cavalcanti, HP Oquendo - SIAM journal on control and optimization, 2003 - SIAM
In this article we show exponential and polynomial decay rates for the partially viscoelastic
nonlinear wave equation subject to a nonlinear and localized frictional damping. The …
nonlinear wave equation subject to a nonlinear and localized frictional damping. The …
[图书][B] Families of exponentials: the method of moments in controllability problems for distributed parameter systems
SA Avdonin, SA Ivanov - 1995 - books.google.com
In this book, the authors present the newly developed theory of non-harmonic Fourier series
and its applications to the control of distributed parameter systems, and they extend the …
and its applications to the control of distributed parameter systems, and they extend the …