Nonsmooth differential-algebraic equations in chemical engineering
This article advocates a nonsmooth differential-algebraic equations (DAEs) modeling
paradigm for dynamic simulation and optimization of process operations. A variety of …
paradigm for dynamic simulation and optimization of process operations. A variety of …
Production of biofuels from sunlight and lignocellulosic sugars using microbial consortia
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 …
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 …
Nesterov's L-derivatives for nonsmooth composite functions; these L-derivatives provide …
Generalized sensitivity analysis of nonlinear programs
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 …
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 …
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
This article proposes new practical methods for furnishing generalized derivative information
of optimal-value functions with embedded parameterized convex programs, with potential …
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 …
advances in nonsmooth sensitivity theory are applicable to large-scale practical problems …
Nonsmooth DAEs with applications in modeling phase changes
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 …
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 …
mathematically regularized in this article. Strong regularity of solutions is shown to imply …