Open AccessBook
Optimization and nonsmooth analysis
TLDR
The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.Abstract:
1. Introduction and Preview 2. Generalized Gradients 3. Differential Inclusions 4. The Calculus of Variations 5. Optimal Control 6. Mathematical Programming 7. Topics in Analysis.read more
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Book ChapterDOI
Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization
David Yang Gao,Hanif D. Sherali +1 more
TL;DR: In this article, the authors present a comprehensive review and some new developments on canonical duality theory for nonconvex systems and present a relation between canonical dual transformations and nonlinear (or extended) Lagrange multiplier methods.
Journal ArticleDOI
Finite-Time Consensus for Switching Network Topologies with Disturbances
TL;DR: In this article, the authors investigated the properties of a decentralized consensus algorithm for a network of continuous-time integrators subject to unknown-but-bounded time-varying disturbances.
Journal ArticleDOI
Finite-time stabilization control of memristor-based neural networks☆
TL;DR: In this article, the authors investigated the finite-time stabilization problem for a general class of memristor-based neural networks and gave the upper bound of the settling time for stabilization which depends on the system parameters and control gains.
Journal ArticleDOI
Systems of generalized variational inequalities and their applications
Qamrul Hasan Ansari,Jen-Chih Yao +1 more
TL;DR: In this article, the authors introduce the system of generalized implicit variational inequalities and prove the existence of its solution, and derive existence results for systems of generalized variational and variational like inequalities.
Journal ArticleDOI
Lyapunov conditions certifying stability and recurrence for a class of stochastic hybrid systems
TL;DR: Lyapunov-based conditions for stability and recurrence are presented for a class of stochastic hybrid systems where solutions are not necessarily unique, either due to nontrivial overlap of the flow and jump sets, a set-valued jump map, or a set ofvalued flow map.