8 research outputs found
First- and second-order necessary conditions with respect to components for discrete optimal control problems
This paper is devoted to the study of discrete optimal control problems. We aim to obtain more constructive optimality conditions under weakened convexity assumptions. Based on a new approach introduced in this work, an optimality condition with respect to every component is obtained in the form of a global maximum principle. In addition, an optimality condition with respect to one of the components of a control in the form of the global maximum principle and with respect to another component of a control in the form of the linearized maximum principle are obtained. Furthermore, various second-order optimality conditions in terms of singular and quasi-singular controls with respect to the components are obtained on the fly
Prevalence, predictors, and outcomes of patient prosthesis mismatch in women undergoing TAVI for severe aortic stenosis: Insights from the WIN-TAVI registry
Objective: To evaluate the incidence, predictors and outcomes of female patients with patient-prosthesis mismatch (PPM) following transcatheter aortic valve intervention (TAVI) for severe aortic stenosis (AS). Background: Female AS TAVI recipients have a significantly lower mortality than surgical aortic valve replacement (SAVR) recipients, which could be attributed to the potentially lower PPM rates. TAVI has been associated with lower rates of PPM compared to SAVR. PPM in females post TAVI has not been investigated to date. Methods: The WIN-TAVI (Women's INternational Transcatheter Aortic Valve Implantation) registry i
Theory of Chemical Kinetics and Charge Transfer based on Nonequilibrium Thermodynamics
Classical theories of chemical kinetics assume independent reactions in
dilute solutions, whose rates are determined by mean concentrations. In
condensed matter, strong interactions alter chemical activities and create
inhomogeneities that can dramatically affect the reaction rate. The extreme
case is that of a reaction coupled to a phase transformation, whose kinetics
must depend on the order parameter -- and its gradients, at phase boundaries.
This Account presents a general theory of chemical kinetics based on
nonequilibrium thermodynamics. The reaction rate is a nonlinear function of the
thermodynamic driving force (free energy of reaction) expressed in terms of
variational chemical potentials. The Cahn-Hilliard and Allen-Cahn equations are
unified and extended via a master equation for non-equilibrium chemical
thermodynamics. For electrochemistry, both Marcus and Butler-Volmer kinetics
are generalized for concentrated solutions and ionic solids. The theory is
applied to intercalation dynamics in the phase separating Li-ion battery
material LiFePO.Comment: research account, 17 two-column pages, 12 figs, 78 refs - some typos
corrected Accounts of Chemical Research (2013
First- and second-order necessary conditions with respect to components for discrete optimal control problems
This paper is devoted to the study of discrete optimal control problems. We aim to obtain more constructive optimality conditions under weakened convexity assumptions. Based on a new approach introduced in this work, an optimality condition with respect to every component is obtained in the form of a global maximum principle. In addition, an optimality condition with respect to one of the components of a control in the form of the global maximum principle and with respect to another component of a control in the form of the linearized maximum principle are obtained. Furthermore, various second-order optimality conditions in terms of singular and quasi-singular controls with respect to the components are obtained on the fly