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Optimization and nonsmooth analysis
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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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Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation
Dragan Nesic,Lars Grüne +1 more
TL;DR: The main technical result is to show that the Fliess series expansions of the Lyapunov difference for the sampled-data system with the redesigned controller have a very special form that is useful for controller redesign.
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Neural networks letter: Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches
TL;DR: Global dissipativity and quasi-synchronization issues are investigated for the delayed neural networks with discontinuous activation functions and, when the proper approximate functions are selected, the complete synchronization can be discussed as a special case that two systems are identical.
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Nash Equilibrium Problems With Scaled Congestion Costs and Shared Constraints
TL;DR: A class of convex Nash games where strategy sets are coupled across agents through a common constraint and payoff functions are linked via a scaled congestion cost metric is considered, showing that the equilibrium is locally unique both in the primal space as well as in the larger primal-dual space.
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Evidence for composite cost functions in arm movement planning: an inverse optimal control approach.
TL;DR: The results thus support the cost combination hypothesis and demonstrate that the recorded movements were closely linked to the combination of two complementary functions related to mechanical energy expenditure and joint-level smoothness.
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Reinitialization-Free Level Set Evolution via Reaction Diffusion
TL;DR: In this paper, a reaction-diffusion (RD) method for implicit active contours is proposed, which is completely free of the costly reinitialization procedure in level set evolution (LSE).