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Contraction analysis and control synthesis for discrete-time nonlinear processes

Journal of Process Control, 2022
Jie Bao, Ryan McCloy, Jie Bao
exaly  

Contraction and partial contraction : a study of synchronization in nonlinear networks

2005
This thesis focuses on the study of collective dynamic behaviors, especially the spontaneous synchronization behavior, of nonlinear networked systems. We derives a body of new results, based on contraction and partial contraction analysis. Contraction is a property regarding the convergence between two arbitrary system trajectories. A nonlinear dynamic
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Contraction analysis of nonlinear systems

1999
This thesis derives new results in nonlinear system analysis using methods inspired from fluid mechanics and differential geometry. Based on a differential analysis of convergence, these results may be viewed as generalizing the classical Krasovskii theĀ­orem, as well as linear eigenvalue analysis.
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Control Contraction Metrics: Convex and Intrinsic Criteria for Nonlinear Feedback Design

IEEE Transactions on Automatic Control, 2017
Ian R Manchester, Jean-Jacques Slotine
exaly  

Contraction analysis for fractional-order nonlinear systems

Chaos, Solitons and Fractals, 2018
Marcos A Gonzalez-Olvera
exaly  

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