Differential Dynamic Programming for time-delayed systems [PDF]
Trajectory optimization considers the problem of deciding how to control a dynamical system to move along a trajectory which minimizes some cost function. Differential Dynamic Programming (DDP) is an optimal control method which utilizes a second-order approximation of the problem to find the control.
David D. Fan, Evangelos A. Theodorou
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Targeted Calibration to Adjust Stability Biases in Complex Dynamical System Models
Models of complex dynamical systems like the Earth’s climate often involve large numbers of uncertain parameters. Comprehensive exploration of the parameter space is typically prohibitive due to excessive computational costs, and systematic gradient ...
Daniel Pals +4 more
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Commentary on “Differentiable dynamical systems” by Stephen Smale [PDF]
Immediately following the commentary below, this previously published article is reprinted in its entirety: Stephen Smale, “Differentiable dynamical systems”, Bull. Amer. Math. Soc. 73 (1967), no. 6, 747–817.
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Riccati equations as a scale-relativistic gateway to quantum mechanics
Applying the resolution-scale relativity principle to develop a mechanics of non-differentiable dynamical paths, we find that, in one dimension, stationary motion corresponds to an Ito process driven by the solutions of a Riccati equation. We verify that
Al-Rashid, Saeed Naif Turki +2 more
core
Differentiable programming and its applications to dynamical systems
11 ...
Adrián Hernández, José M. Amigó
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Algorithms for computing the multivariable stability margin [PDF]
Stability margin for multiloop flight control systems has become a critical issue, especially in highly maneuverable aircraft designs where there are inherent strong cross-couplings between the various feedback control loops.
Chiang, Richard Y. +2 more
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Dynamics of Generic Multidimensional Linear Differential Systems
Abstract We prove that there exists a residual subset R (with respect to the C 0 topology) of d-dimensional linear differential systems based in a μ-invariant flow and with transition matrix evolving in GL(d,ℝ) such that if A ∈ R, then, for μ-a.e.
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Generalized FitzHugh-Nagumo equations with Caputo gH-differentiability: A novel fuzzy fractional approach to digital memristor networks. [PDF]
Yousuf M +3 more
europepmc +1 more source
Complex Fluids in a Multifractal Space: Scale Covariance and the Emergence of the Fractal Force. [PDF]
Rusu DI +7 more
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Dynamical study of optical soliton solutions of time-fractional perturbed model in ultrafast optical fibers. [PDF]
Ouahid L +7 more
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