Nonsmooth differential-algebraic equations in chemical engineering

P Stechlinski, M Patrascu, PI Barton - Computers & Chemical Engineering, 2018 - Elsevier
This article advocates a nonsmooth differential-algebraic equations (DAEs) modeling
paradigm for dynamic simulation and optimization of process operations. A variety of …

Production of biofuels from sunlight and lignocellulosic sugars using microbial consortia

JA Gomez, K Höffner, PI Barton - Chemical Engineering Science, 2021 - Elsevier
New environmental policies motivate the efficient production of biofuels. Despite their
potential, biofuels based on microbial biomass cultivation are not cost effective yet due to the …

Branch-locking AD techniques for nonsmooth composite functions and nonsmooth implicit functions

KA Khan - Optimization Methods and Software, 2018 - Taylor & Francis
A recent nonsmooth vector forward mode of algorithmic differentiation (AD) computes
Nesterov's L-derivatives for nonsmooth composite functions; these L-derivatives provide …

Generalized sensitivity analysis of nonlinear programs

P Stechlinski, KA Khan, PI Barton - SIAM Journal on Optimization, 2018 - SIAM
This paper extends classical sensitivity results for nonlinear programs to cases in which
parametric perturbations cause changes in the active set. This is accomplished using …

Generalized derivatives of the optimal value of a linear program with respect to matrix coefficients

D De Wolf, Y Smeers - European Journal of Operational Research, 2021 - Elsevier
We present here a characterization of the Clarke subdifferential of the optimal value function
of a linear program as a function of matrix coefficients. We generalize the result of Freund …

Generalized derivatives of optimal-value functions with parameterized convex programs embedded

Y Song, PI Barton - Journal of Global Optimization, 2024 - Springer
This article proposes new practical methods for furnishing generalized derivative information
of optimal-value functions with embedded parameterized convex programs, with potential …

Sensitivity analysis of nonsmooth power control systems with an example of wind turbines

SA Eisa, P Stechlinski - … in Nonlinear Science and Numerical Simulation, 2021 - Elsevier
This paper focuses on dynamic sensitivities of nonsmooth power control systems. Recent
advances in nonsmooth sensitivity theory are applicable to large-scale practical problems …

Nonsmooth DAEs with applications in modeling phase changes

P Stechlinski, M Patrascu, PI Barton - Applications of Differential-Algebraic …, 2019 - Springer
A variety of engineering problems involve dynamic simulation and optimization, but exhibit a
mixture of continuous and discrete behavior. Such hybrid continuous/discrete behavior can …

Theory of index-one nonlinear complementarity systems

P Stechlinski - Journal of Differential Equations, 2021 - Elsevier
Generalized differentiation index-one nonlinear complementarity systems (NCSs) are
mathematically regularized in this article. Strong regularity of solutions is shown to imply …