scholarly journals Exact Controllability and Perturbation Analysis for Elastic Beams

2004 ◽  
Vol 49 (3) ◽  
pp. 201-216
Author(s):  
Miguel Angel Moreles
Keyword(s):  
Perturbation Analysis ◽  
Exact Controllability ◽  
Elastic Beams

The influence of internal structure on wave propagation in elastic beams under impact loading

2000 ◽  
Vol 10 (PR9) ◽  
pp. Pr9-475-Pr9-480
Author(s):  
E. I. Prockuratova ◽  
C. Gearhar
Keyword(s):  
Wave Propagation ◽  
Internal Structure ◽  
Impact Loading ◽  
Elastic Beams

Perturbation Analysis of the Continuous and Discrete Matrix Riccati Equations

1986 ◽  
Author(s):  
M.M. Konstantinov ◽  
P.Hr. Petkov ◽  
N.D. Christov
Keyword(s):  
Perturbation Analysis ◽  
Riccati Equations

Scattering waves using exact controllability methods

1993 ◽  
Author(s):  
M. BRISTEAU ◽  
R. GLOWINSKI ◽  
J. PERIAUX
Keyword(s):  
Exact Controllability

scholarly journals A note on the exact boundary controllability for an imperfect transmission problem

2021 ◽  
Author(s):  
S. Monsurrò ◽  
A. K. Nandakumaran ◽  
C. Perugia
Keyword(s):  
Exact Controllability ◽  
Dirichlet Condition ◽  
Adjoint Problem ◽  
Imperfect Interface ◽  
External Boundary ◽  
Exact Boundary Controllability ◽  
Multipliers Method ◽  
Exact Boundary ◽  
Hilbert Uniqueness Method ◽  
Uniqueness Method

AbstractIn this note, we consider a hyperbolic system of equations in a domain made up of two components. We prescribe a homogeneous Dirichlet condition on the exterior boundary and a jump of the displacement proportional to the conormal derivatives on the interface. This last condition is the mathematical interpretation of an imperfect interface. We apply a control on the external boundary and, by means of the Hilbert Uniqueness Method, introduced by J. L. Lions, we study the related boundary exact controllability problem. The key point is to derive an observability inequality by using the so called Lagrange multipliers method, and then to construct the exact control through the solution of an adjoint problem. Eventually, we prove a lower bound for the control time which depends on the geometry of the domain, on the coefficients matrix and on the proportionality between the jump of the solution and the conormal derivatives on the interface.

scholarly journals Perturbation Analysis of Quantum Reset Models

2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Géraldine Haack ◽  
Alain Joye
Keyword(s):  
Steady State ◽  
Perturbation Analysis ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Markov Semigroup ◽  
Coupling Constant ◽  
Coupling Term ◽  
Open Quantum ◽  
Effective Dynamics ◽  
A Chain

AbstractThis paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete examples corresponding to realistic open quantum systems.

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