Time-varying Projected Dynamical Systems with Applications to Feedback Optimization of Power Systems [PDF]
IEEE Conference on Decision and Control, 2018 This paper is concerned with the study of continuous-time, non-smooth dynamical systems which arise in the context of time-varying non-convex optimization problems, as for example the feedback-based optimization of power systems. We generalize the notion
Adrian Hauswirth +4 more
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Ergodic Theory of Differentiable Dynamical Systems [PDF]
, 1995 These notes are about the dynamics of systems with hyperbolic properties. The setting for the first half consists of a pair (f, µ), where f is a diffeomorphism of a Riemannian manifold and µ is an f-invariant Borel probability measure. After a brief review of abstract ergodic theory, Lyapunov exponents are introduced, and families of stable and ...
L. Young
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Commentary on “Differentiable dynamical systems” by Stephen Smale [PDF]
, 2018 M. Zworski
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Dynamic Gains Differentiator for Hydraulic System Control [PDF]
Journal of Dynamic Systems, Measurement, and Control, 2015 This paper deals with online numerical differentiation of a noisy time signal where new higher order sliding mode differentiators are proposed. The key point of these algorithms is to include a dynamic on the differentiator parameters. These dynamics tune-up automatically the algorithm gains in real-time.
Sidhom, Lilia +4 more
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Entropy and ergodic probability for differentiable dynamical systems and their bundle extensions
, 2007 Wenxiang Sun, E. Vargas
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Sablas: Learning Safe Control for Black-Box Dynamical Systems [PDF]
IEEE Robotics and Automation Letters, 2022 Control certificates based on barrier functions have been a powerful tool to generate probably safe control policies for dynamical systems. However, existing methods based on barrier certificates are normally for white-box systems with differentiable ...
Zengyi Qin, Dawei Sun, Chuchu Fan
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All , most , some differentiable dynamical systems [PDF]
, 2005 M. Shub
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Sampled-Data Consensus for Networked Euler-Lagrange Systems With Differentiable Scaling Functions
IEEE Access, 2021 This paper is concerned with the sampled-data consensus of networked Euler-Lagrange systems. The Euler-Lagrange system has enormous advantages in analyzing and designing dynamical systems.
Yilin Wang +3 more
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Differentiability of the Largest Lyapunov Exponent for Non-Planar Open Billiards
Mathematics, 2023 This paper investigates the behaviour of open billiard systems in high-dimensional spaces. Specifically, we estimate the largest Lyapunov exponent, which quantifies the rate of divergence between nearby trajectories in a dynamical system.
Amal Al Dowais
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On differentially dissipative dynamical systems [PDF]
IFAC Proceedings Volumes, 2013 Dissipativity is an essential concept of systems theory. The paper provides an extension of dissipativity, named differential dissipativity, by lifting storage functions and supply rates to the tangent bundle. Differential dissipativity is connected to incremental stability in the same way as dissipativity is connected to stability.
Forni, F, Sepulchre, R
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