A Bliss-Type Multiplier Rule for Constrained Variational Problems with Time Delay

Manifold Constrained Variational Problems

The integral representation for the relaxation of a class of energy functionals where the admissible fields are constrained to remain on a C m-dimensional manifold M ⊂ R is obtained. If f : Rd×N → [0,∞) is a continuous function satisfying 0 ≤ f(ξ) ≤ C(1 + |ξ|), for C > 0, p ≥ 1, and for all ξ ∈ Rd×N , then F(u,Ω) : = inf {un}  lim inf n→∞ Z Ω f(∇un) dx : un ⇀ u in W , un(x) ∈M a.e. x ∈ Ω, n ∈ ...

A Lagrange Multiplier Method for Certain Constrained Min-Max Problems

A Developed Algorithm for Solving Constrained Linear Quadratic Problems with Time Delay

Discrete time linear quadratic optimization problem with time delay and system constraints is investigated. After reformulating the problem, a new procedure is proposed for its solution. It is shown that with the developed algorithm the dimensionality of the problem will not increase due to time delays. Moreover, no extra multipliers are required to handle system constrains. Simulations results...

A Survey of Direct Methods for Solving Variational Problems

This study presents a comparative survey of direct methods for solving Variational Problems. Thisproblems can be used to solve various differential equations in physics and chemistry like RateEquation for a chemical reaction. There are procedures that any type of a differential equation isconvertible to a variational problem. Therefore finding the solution of a differential equation isequivalen...

Constrained Controller Design for Real-time Delay Recovery in Metro Systems

This study is concerned with the real-time delay recovery problem in metro loop lines. Metro is the backbone of public transportation system in large cities. A discrete event model for traffic system of metro loop lines is derived and presented. Two effective automatic controllers, linear quadratic regulator (LQR) and model predictive controller (MPC), are used to recover train delays. A newly-...