Titlebook: Optimization and Its Applications in Control and Data Sciences; In Honor of Boris T. Boris Goldengorin Book 2016 Springer International Pub

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1931-6828 hniques for solving complex optimization problems.This book focuses on recent research in modern optimization and its implications in control and data analysis. This book is a collection of papers from the conference “Optimization and Its Applications in Control and Data Science” dedicated to Profes

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Invariance Conditions for Nonlinear Dynamical Systems,sh invariance of broadly used convex sets, including polyhedral and ellipsoidal sets. Second, we establish an optimization framework to computationally verify the derived invariance conditions. Finally, we derive analogous invariance conditions without any conditions.

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Modeling of Stationary Periodic Time Series by ARMA Representations,ections to reciprocal processes and the covariance selection problem is explained. Next it is shown how the theory can be extended to the multivariate case. Finally, an application to image processing is presented.

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Applying the Gradient Projection Method to a Model of Proportional Membership for Fuzzy Cluster Anaepsize length of the GPM had been fixed. The properties of the clusters found with the FCPM are discussed. Especially appealing seems the property to keep the extremal cluster prototypes stable even after addition of many entities around the grand mean.