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Optimization and nonsmooth analysis
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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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Journal ArticleDOI
Finite-Time Stabilization of Delayed Memristive Neural Networks: Discontinuous State-Feedback and Adaptive Control Approach
Zuowei Cai,Lihong Huang +1 more
TL;DR: This paper investigates the finite-time stabilization problem for DMNNs by using the famous finite- time stability theorem and the generalized Lyapunov functional method and designs two classes of novel controllers including discontinuous state-feedback controller and discontinuous adaptive controller.
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Scale of Viability and Minimal Time of Crisis
Luc Doyen,Patrick Saint-Pierre +1 more
TL;DR: In this article, the authors introduce and study the minimal time of a crisis map, which measures the minimum time spent outside a given closed domain of constraints by trajectory solutions of a differential inclusion.
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Existence and global exponential stability of periodic solution of memristor-based BAM neural networks with time-varying delays
Hongfei Li,Haijun Jiang,Cheng Hu +2 more
TL;DR: Under the framework of Filippov solutions, boundedness and ultimate boundedness of solutions of memristor-based BAM neural networks are guaranteed by Chain rule and inequalities technique and a new method involving Yoshizawa-like theorem is favorably employed to acquire the existence of periodic solution.
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Monotone multigrid methodsfor elliptic variational inequalities II
TL;DR: This new approach allows the implementation as a classical V-cycle and preserves the usual multigrid efficiency, and gives estimates for the asymptotic convergence rates.
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Core Hybrid Event-B I
TL;DR: The whole framework is designed so as to disturb as little as possible the existing structures for handling discrete Event-B, as seamlessly as possible, to encompass continuous behaviours.