Results 31 to 40 of about 226,681 (319)
An Algorithm to Automatically Detect the Smale Horseshoes
Discrete Dynamics in Nature and Society, 2012 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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IET Control Theory & Applications, 2023 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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Neural Stochastic Contraction Metrics for Learning-based Control and Estimation [PDF]
, 2021 We present Neural Stochastic Contraction Metrics (NSCM), a new design framework for provably-stable learning-based control and estimation for a class of stochastic nonlinear systems.
Chung, Soon-Jo +3 more
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SICE Journal of Control, Measurement, and System Integration, 2018 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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The Investigation of Nonlinear Polynomial Control Systems
Моделирование и анализ информационных систем, 2021 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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Synthesis of a nonlinear control system
IRE Transactions on Automatic Control, 1956 The investigated nonlinear control system consists of a linear member with an ensemble of possible discrete combinations of proportional and derivative feedback around the linear member. The particular combination of proportional and derivative feedback employed at any instant is determined by a feedback switching circuit which is in turn operated by ...
Lotz, I. Flugge, Taylor, C. F.
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Suppression of Base Excitation of Rotors on Magnetic Bearings
International Journal of Rotating Machinery, 2007 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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Nonlinear Control of Networked Dynamical Systems
IEEE Transactions on Network Science and Engineering, 2021 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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Controllability in nonlinear systems
Journal of Differential Equations, 1973 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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Controllability of nonlinear discrete systems [PDF]
Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002 1-D and 2-D discrete-time nonlinear stationary dynamic systems are considered. Local controllability conditions for unconstrained controls that have been previously derived are extended to the constrained controls case.
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