Results 1  10
of
80
Optimal Birth Control of Population Dynamics. II. Problems with Free Final Time, Phase Constraints, and MiniMax Costs*
, 1988
"... We study optimal birth control of population systems of McKendrick type which is a distributed parameter system involving first order partial differential equations with nonlocal bilinear boundary control. New results on problems with free final time, phase constraints, and minimax costs are presen ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We study optimal birth control of population systems of McKendrick type which is a distributed parameter system involving first order partial differential equations with nonlocal bilinear boundary control. New results on problems with free final time, phase constraints, and minimax costs
Nonlocal elasticity coupled with nonlocal damage
 Proc. International Conference on Fracture, ICF11. Torin
, 2005
"... In the framework of irreversible thermodynamics of nonlocal continua, the ClausiusDuhem inequality enriched by the addition of two (nonlocality) energy residuals (one for elasticity, the other for damage) is employed to devise a coupled nonlocal elastic/nonlocal damage phenomenological constitutiv ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
the optimal path (while the internal length is taken constant). Linear isotropic damage is considered, with the nonlocality introduced through the k.i.v. controlling the related hardening effects. The above thermodynamic procedure leads to the (nonnegative) intrinsic damage dissipation density having
Spiral waves in nonlocal equations
 SIAM Journal on Applied Dynamical Systems
, 2005
"... Abstract. We present a numerical study of rotating spiral waves in a partial integrodifferential equation defined on a circular domain. This type of equation has been previously studied as a model for large scale pattern formation in the cortex and involves spatially nonlocal interactions through a ..."
Abstract

Cited by 35 (7 self)
 Add to MetaCart
Abstract. We present a numerical study of rotating spiral waves in a partial integrodifferential equation defined on a circular domain. This type of equation has been previously studied as a model for large scale pattern formation in the cortex and involves spatially nonlocal interactions through
TwoPoint Boundary Optimization Problem for Bilinear Control Systems
"... This paper presents a new approach to the optimization problem for the bilinear system x ̇ = {x, ω} (1) based on the wellknown method of continuous parametric group reconstruction using of its structure constants defined by the Brockett equation z ̇ = {z, ω}. (2) Here x is the system state vector ..."
Abstract
 Add to MetaCart
vector, {·, ·} are the Lie brackets, z = {x, y}, y is the vector of cojoint variables, ω = A−1z is the control vector, A is the inertion matrix. The quadratic control functional has to reach an extremum at the optimal solution of the equation (2) and the boundary optimization problem is to find such z0
ON A NONLOCAL ISOPERIMETRIC PROBLEM ON THE
"... Abstract. In this article we analyze the minimization of a nonlocal isoperimetric problem (NLIP) posed on the 2sphere. After establishing the regularity of the free boundary of minimizers, we characterize two critical points of the functional describing (NLIP): the single cap and the double cap. W ..."
Abstract
 Add to MetaCart
Abstract. In this article we analyze the minimization of a nonlocal isoperimetric problem (NLIP) posed on the 2sphere. After establishing the regularity of the free boundary of minimizers, we characterize two critical points of the functional describing (NLIP): the single cap and the double cap
OUTPUT STABILIZATION FOR INFINITE–DIMENSIONAL BILINEAR SYSTEMS
"... The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one minimiz ..."
Abstract
 Add to MetaCart
The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one
An Analytic Approach to Purely Nonlocal Bellman Equations Arising in Models of Stochastic Control
, 2005
"... Given a bounded domain Rd and two integrodierential operators L1; L2 of the form Lju(x) = p: v: R (u(x) u(y))kj(x; y; x y)dy we study the fully nonlinear Bellman equation max j=1;2 Lju(x) + aj(x)u(x) f j(x) = 0 in;(0.1) with Dirichlet boundary conditions. Here, aj; f j:! R are nonnegative ..."
Abstract

Cited by 19 (2 self)
 Add to MetaCart
negative functions. We prove the existence of a nonnegative function u:! R which satises (0.1) almost everywhere. The main diculty arises through the nonlocality of Lj and the absence of regularity near the boundary.
DEFORMATION FORMULA FOR HEAT EQUATIONS WITH NONLOCAL TERMS AND ITS APPLICATION TO BOUNDARY CONTROL PROBLEMS
"... Abstract: In this paper, we establish a new deformation formula for heat equations with nonlocal terms and give its application to boundary control problems. We let () {}.10:, <<< = xyyxD Then we consider the following nonlocal parabolic initialboundary value problem: ..."
Abstract
 Add to MetaCart
Abstract: In this paper, we establish a new deformation formula for heat equations with nonlocal terms and give its application to boundary control problems. We let () {}.10:, <<< = xyyxD Then we consider the following nonlocal parabolic initialboundary value problem:
OPTIMAL CONTROL OF ELECTRORHEOLOGICAL CLUTCH DESCRIBED BY NONLINEAR PARABOLIC EQUATION WITH NONLOCAL BOUNDARY CONDITIONS.
"... Abstract. The operation of the electrorheological clutch is simulated by a nonlinear parabolic equation which describes the motion of electrorheological fluid in the gap between the driving and driven rotors. In this case, the velocity of the driving rotor is prescribed on one part of the boundary. ..."
Abstract
 Add to MetaCart
. Nonlocal nonlinear boundary condition is given on a part of the boundary, which corresponds to the driven rotor [25]. A problem on optimal control of acceleration or braking of the driven rotor is formulated and studied. Functions of time of the angular velocity of the driving rotor and of the voltages
On the global minimizers of a nonlocal isoperimetric problem in two dimensions
 Interfaces Free Bound
"... In this article we analyze the minimization of a nonlocal isoperimetric problem (NLIP) posed on the flat 2torus. After establishing regularity of the free boundary of minimizers, we show that when the parameter controlling the influence of the nonlocality is small, there is an interval of values fo ..."
Abstract

Cited by 19 (4 self)
 Add to MetaCart
In this article we analyze the minimization of a nonlocal isoperimetric problem (NLIP) posed on the flat 2torus. After establishing regularity of the free boundary of minimizers, we show that when the parameter controlling the influence of the nonlocality is small, there is an interval of values
Results 1  10
of
80