To compute the spatially distributed dielectric constant from backscattering computationally simulated ane experimentally collected data, we study a coefficient inverse problem for 1D hyperbolic equation. solve this problem, establish new version of Carleman estimate and then employ to construct cost functional, which is strictly convex on bounded set an arbitrary diameter in Hilbert space. The...

This paper introduces a control strategy to simultaneously achieve asymptotic stabilization and transient frequency regulation of power networks. The command is generated by iteratively solving an open-loop cost minimization problem with stability constraints. To deal the non-convexity constraint, we propose convexification that uses reference trajectory based on system’s current state. We also...

In this paper, an algorithm is introduced to find an optimal solution for an optimization problem that arises in total least squares with inequality constraints, and in the correction of infeasible linear systems of inequalities. The stated problem is a nonconvex program with a special structure that allows the use of a reformulation–linearization–convexification technique for its solution. A b...

Dai, L. 2016. Identification using Convexification and Recursion. Uppsala Dissertations from the Faculty of Science and Technology 123. 101 pp. Uppsala: Acta Universitatis Upsaliensis. ISBN 978-91-554-9507-7. System identification studies how to construct mathematical models for dynamical systems from the input and output data, which finds applications in many scenarios, such as predicting futu...