Optimality conditions for age-structured control systems

Necessary and Sucient Optimality Conditions for a Control Fuzzy Linear Problem

New optimality conditions for nonsmooth control problems

This work considers nonsmooth optimal control problems and provides two new sufficient conditions of optimality. The first condition involves the Lagrange multipliers while the second does not. We show that under the first new condition all processes satisfying the Pontryagin Maximum Principle (called MP-processes) are optimal. Conversely, we prove that optimal control problems in which every M...

Sufficient Optimality Conditions for Multivariable Control Problems

We study optimal control problems for partial differential equations (focusing on the multidimensional differential equation) with control functions in the Dirichlet boundary conditions under pointwise control (and we admit state – by assuming weak hypotheses) constraints.

On the Infinite-Horizon Optimal Control of Age-Structured Systems

The paper presents necessary optimality conditions of Pontryagin’s type for infinite-horizon optimal control problems for age-structured systems with stateand control-dependent boundary conditions. Despite the numerous applications of such problems in population dynamics and economics, a “complete” set of optimality conditions is missing in the existing literature, because it is problematic to ...

Conditions for optimality of Naïve quantized finite horizon control

This paper presents properties of a control law which quantizes the unconstrained solution to a unitary horizon quadratic programme. This naı̈ve quantized control law underlies many popular algorithms, such as -converters and decision feedback equalities, and is easily shown to be globally optimal for horizon one. However, the question arises as to whether it is also globally optimal for horizon...