Results 21 to 30 of about 975,613 (342)
An Algorithm to Automatically Detect the Smale Horseshoes
Smale horseshoes, curvilinear rectangles and their U-shaped images patterned on Smale's famous example, provide a rigorous way to study chaos in dynamical systems.
Qingdu Li, Lina Zhang, Fangyan Yang
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This paper presents a novel unified approach of controller design and identification for unknown input affine nonlinear systems. An issue with obtaining the best performance of optimal control is that identification errors degrade control performance ...
Yuji Ito +3 more
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In this paper, finite‐time cluster synchronization (FTCS) in networks of nonidentical coupled dynamical systems is addressed by introducing a discontinuous interaction rule. This interaction rule overcomes the effect of heterogeneous dynamics among nodes.
Yujuan Han, Lin Yan, Bo Liu
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Quantum feedback with weak measurements [PDF]
The problem of feedback control of quantum systems by means of weak measurements is investigated in detail. When weak measurements are made on a set of identical quantum systems, the single-system density matrix can be determined to a high degree of ...
A. Blaquiere +54 more
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State dependent NGMV control of delayed piecewise affine systems [PDF]
A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of delayed piecewise affine (PWA) systems which are an important subclass of hybrid systems.
Grimble, M.J., Pang, Y.
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Suppression of Base Excitation of Rotors on Magnetic Bearings
This paper deals with rotor systems that suffer harmonic base excitation when supported on magnetic bearings. Magnetic bearings using conventional control techniques perform poorly in such situations mainly due to their highly nonlinear characteristics ...
Steven Marx, C. Nataraj
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The Investigation of Nonlinear Polynomial Control Systems
The paper considers methods for estimating stability using Lyapunov functions, which are used for nonlinear polynomial control systems. The apparatus of the Gro¨bner basis method is used to assess the stability of a dynamical system. A description of the
Sergei Nikolaevich Chukanov +1 more
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Controllability in nonlinear systems
AbstractIn this paper we obtain an explicit expression for the reachable set for a class of nonlinear systems. This class is described by a chain condition on the Lie algebra of vector fields associated with each nonlinear system. These ideas are used to obtain a generalization of a controllability result for linear systems in the case where ...
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Nonlinear Control of Networked Dynamical Systems
We develop a principled mathematical framework for controlling nonlinear, networked dynamical systems. Our method integrates dimensionality reduction, bifurcation theory and emerging model discovery tools to find low-dimensional subspaces where feed-forward control can be used to manipulate a system to a desired outcome.
Megan Morrison, J. Nathan Kutz
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Control of nonlinear underactuated systems
In this paper we introduce a new method to design control laws for non-linear underactuated systems. Our method produces an infinite dimensional family of control laws, whereas most control techniques only produce a finite dimensional family.
Auckly, Dave +2 more
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