Time-optimality by distance-optimality for parabolic control systems

Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form

Optimality Analysis of Self-Optimising Control Systems

The goal of self-optimising control is to select a set of controlled variables, which when kept at constant setpoints, indirectly lead to suboptimal operation. Based on the necessary condition of unconstrained optimisation, Cao (2004) has identified that the steady-state optimizing control for unconstrained degrees of freedom is to keep a dimension-reduced gradient at zero. Alternatively, two s...

Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints

An optimal control problem for a semilinear parabolic equation is investigated, where pointwise constraints are given on the control and the state. The state constraints are of mixed (bottleneck) type, where associated Lagrange multipliers can assumed to be bounded and measurable functions. Based on this property, a second-order sufficient optimality condition is established that considers stro...

Isogeometric Topology Optimization by Using Optimality Criteria and Implicit Function

A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non-Uniform Rational B-Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method zero level...

Optimality System POD for Time-Variant, Linear-Quadratic Control Problems

The optimization of processes is an omnipresent task in industry and science. In many cases those processes are characterized by partial di erential equations (PDEs), which describe how the state of a considered system can be regulated by a control. The aim is to nd a control which induces a desired state or a close approximation of it. A task of this type is called an optimal control problem. ...