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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 57
  3. Computational Mathematics and Mathematical Physics : Volume 57, Issue 5, May 2017
  4. Dynamics and variational inequalities
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Computational Mathematics and Mathematical Physics : Volume 57
Computational Mathematics and Mathematical Physics : Volume 57, Issue 6, June 2017
Computational Mathematics and Mathematical Physics : Volume 57, Issue 5, May 2017
On the theory of singular optimal controls in dynamic systems with control delay
Bernoulli substitution in the Ramsey model: Optimal trajectories under control constraints
Dynamics and variational inequalities
The projection Galerkin method for solving the time-independent differential diffusion equation in a semi-infinite domain
Computer difference scheme for a singularly perturbed elliptic convection–diffusion equation in the presence of perturbations
Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients
Time step selection for the numerical solution of boundary value problems for parabolic equations
Time-independent reaction–diffusion equation with a discontinuous reactive term
Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics
Comparison of additional second-order terms in finite-difference Euler equations and regularized fluid dynamics equations
Influence of the lateral wall velocity on three-dimensional disturbance development in plane Poiseuille–Couette flow
Sound field suppression in a waveguide equipped with a transverse packet resonator
Upper bound for the length of functions over a finite field in the class of pseudopolynomials
Computational Mathematics and Mathematical Physics : Volume 57, Issue 4, April 2017
Computational Mathematics and Mathematical Physics : Volume 57, Issue 3, March 2017
Computational Mathematics and Mathematical Physics : Volume 57, Issue 2, February 2017
Computational Mathematics and Mathematical Physics : Volume 57, Issue 1, January 2017
Computational Mathematics and Mathematical Physics : Volume 56
Computational Mathematics and Mathematical Physics : Volume 55
Computational Mathematics and Mathematical Physics : Volume 54
Computational Mathematics and Mathematical Physics : Volume 53
Computational Mathematics and Mathematical Physics : Volume 52
Computational Mathematics and Mathematical Physics : Volume 51
Computational Mathematics and Mathematical Physics : Volume 50
Computational Mathematics and Mathematical Physics : Volume 49
Computational Mathematics and Mathematical Physics : Volume 48
Computational Mathematics and Mathematical Physics : Volume 47
Computational Mathematics and Mathematical Physics : Volume 46

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Dynamics and variational inequalities

Content Provider Springer Nature Link
Author Antipin, A. S. Jaćimović, V. Jaćimović, M.
Copyright Year 2017
Abstract A terminal control problem with linear dynamics and a boundary condition given implicitly in the form of a solution of a variational inequality is considered. In the general control theory, this problem belongs to the class of stabilization problems. A saddle-point method of the extragradient type is proposed for its solution. The method is proved to converge with respect to all components of the solution, i.e., with respect to controls, phase and adjoint trajectories, and the finite-dimensional variables of the terminal problem.
Starting Page 784
Ending Page 801
Page Count 18
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 57
Issue Number 5
e-ISSN 15556662
Language English
Publisher Pleiades Publishing
Publisher Date 2017-06-11
Publisher Place Moscow
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword linear dynamics control boundary value problem variational inequality saddle-point method convergence Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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