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- Kamil A. Khan, Paul I. Barton
- Optimization Methods and Software
- 2015

A vector forward mode of automatic differentiation for generalized derivative evaluation Kamil A. Khan & Paul I. Barton To cite this article: Kamil A. Khan & Paul I. Barton (2015): A vector forwardâ€¦ (More)

- Kamil A. Khan, Paul I. Barton
- J. Optimization Theory and Applications
- 2014

Sensitivity analysis provides useful information for equation-solving, optimization, and post-optimality analysis. However, obtaining useful sensitivity information for systems with nonsmooth dynamicâ€¦ (More)

- Kamil A. Khan, Paul I. Barton
- 53rd IEEE Conference on Decision and Control
- 2014

Recent advances in nonsmooth sensitivity analysis are extended to describe particular elements of Clarke's generalized gradient for the nonsmooth objective function of a nonsmooth optimal controlâ€¦ (More)

- Kamil A. Khan, Paul I. Barton
- IEEE Transactions on Automatic Control
- 2017

Established sensitivity results for hybrid discrete/continuous dynamic systems are generalized by relaxing smoothness assumptions on the functions governing the systems' continuous evolutionâ€¦ (More)

- Kai HÃ¶ffner, Kamil A. Khan, Paul I. Barton
- Automatica
- 2016

Dynamic systems with a linear program (LP) embedded can be found in control and optimization of bioreactor models based on dynamic flux balance analysis (DFBA). Derivatives of the dynamic states withâ€¦ (More)

- Kamil A. Khan, Paul I. Barton
- Systems & Control Letters
- 2015

We develop a manifold sampling algorithm for the unconstrained minimization of 4 a nonsmooth composite function f , Ïˆ + h â—¦ F when Ïˆ is smooth with known derivatives, h is a 5 nonsmooth, piecewiseâ€¦ (More)

- Kamil A. Khan, Paul I. Barton
- ACM Trans. Math. Softw.
- 2013

Bundle methods for nonsmooth optimization and semismooth Newton methods for nonsmooth equation solving both require computation of elements of the (Clarke) generalized Jacobian, which provides slopeâ€¦ (More)

- Kamil A. Khan, Vibhu P. Saxena, Paul I. Barton
- SIAM J. Scientific Computing
- 2011

A theory is developed for local, first-order sensitivity analysis of limit-cycle oscillating hybrid systems, which are dynamical systems exhibiting both continuous-state and discrete-state dynamicsâ€¦ (More)

- Kamil A. Khan
- 2014

Nonsmoothness in dynamic process models can hinder conventional methods for simulation, sensitivity analysis, and optimization, and can be introduced, for example, by transitions in flow regime orâ€¦ (More)