Continuous-time optimization is currently an active field of research in theory; prior work this area has yielded useful insights and elegant methods for proving stability convergence properties the continuous-time algorithms. This article proposes novel gradient-flow schemes that yield to optimal point a convex problem within fixed time from any given initial condition unconstrained optimizati...

In this work we propose a simultaneous scheduling and control optimization formulation to address both optimal steady-state production and dynamic product transitions in continuous multiproduct tubular reactors. The simultaneous scheduling and control problem for continuous multiproduct tubular reactors is cast as a Mixed-Integer Dynamic Optimization (MIDO) problem. The dynamic behavior of the ...

Dense image matching is a fundamental lowlevel problem in Computer Vision, which has received tremendous attention from both discrete and continuous optimization communities. The goal of this paper is to combine the advantages of discrete and continuous optimization in a coherent framework. We devise a model based on energy minimization, to be optimized by both discrete and continuous algorithm...

We describe an innovative solution to the problem of scheduling astronomy observations for the Stratospheric Observatory for Infrared Astronomy, an airborne observatory. The problem contains complex constraints relating the feasibility of an astronomical observation to the position and time at which the observation begins, telescope elevation limits and available fuel. Solving the problem requi...

This paper addresses the problem of optimal static output feedback control of linear periodic systems. The proposed approach, which allows to deal with both stable and unstable open loop systems, relies on a continuous-time formulation of the control problem. A nonlinear programming based approach is used to solve the underlying optimization problem. The evaluation of cost function and its deri...

it is difficult to prevent accidents in the transport of hazardous goods, so the development of strategies for managing crisis situations and the optimization of action plans are important. the crisis situation is a continuous event in time when its evolution is unpredictable because it depends on a whole of complex factors resulting from the environment of the crisis. decision making in crisis...

In this paper we consider the Optimal robust disturbance attenuation problem (ORDAP) for continuous time-varying systems subject to time-varying unstructured uncertainty. We show that for causal (possibly time-varying) continuous systems, ORDAP is equivalent to finding the smallest fixed point of a ‘two-disc’ type optimization problem under time-varying feedback control laws. Duality is applied...

New local perturbation bounds are obtained for the continuous-time H∞-optimization problem, which are nonlinear functions of the data perturbations and are tighter than the existing condition number based local bounds. The nonlinear local bounds are then incorporated into nonlocal perturbation bounds which are less conservative than the existing nonlocal perturbation estimates for the H∞-optimi...