Exact augmented Lagrangian functions for nonlinear semidefinite programming
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DOI: 10.1007/s10589-018-0017-z
Abstract: In this paper, we study augmented Lagrangian functions for nonlinear semidefinite programming (NSDP) problems with exactness properties. The term exact is used in the sense that the penalty parameter can be taken appropriately, so a… read more here.
Keywords: programming; functions nonlinear; semidefinite programming; nonlinear semidefinite ... See more keywords
An SQP method for minimization of locally Lipschitz functions with nonlinear constraints
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DOI: 10.1080/02331934.2018.1545123
Abstract: Abstract In this paper, we present a quadratic model for minimizing problems with nonconvex and nonsmooth objective and constraint functions. This method is based on sequential quadratic programming that uses an penalty function to equilibrate… read more here.
Keywords: sqp method; minimization locally; lipschitz functions; locally lipschitz ... See more keywords
Computation of Lyapunov Functions for Nonlinear Differential Equations via a Massera-Type Construction
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2017.2736961
Abstract: An approach for computing Lyapunov functions for nonlinear continuous-time differential equations is developed via a new, Massera-type construction. This construction is enabled by imposing a finite-time criterion on the integrated function. By means of this… read more here.
Keywords: functions nonlinear; construction; type construction; differential equations ... See more keywords