Results 21 to 30 of about 975,613 (342)

An Algorithm to Automatically Detect the Smale Horseshoes

open access: yesDiscrete 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
doaj   +1 more source

A Unified Approach of Controller Design and System Identification for Optimal Control of Single-Input Nonlinear Systems

open access: yesSICE 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
doaj   +1 more source

Finite‐time cluster synchronization of heterogeneous complex dynamical networks with discontinuous interactions

open access: yesIET 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
doaj   +1 more source

Quantum feedback with weak measurements [PDF]

open access: yes, 1999
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
core   +2 more sources

State dependent NGMV control of delayed piecewise affine systems [PDF]

open access: yes, 2009
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.
core   +2 more sources

Suppression of Base Excitation of Rotors on Magnetic Bearings

open access: yesInternational 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
doaj   +1 more source

The Investigation of Nonlinear Polynomial Control Systems

open access: yesМоделирование 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
doaj   +1 more source

Controllability in nonlinear systems

open access: yesJournal 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 ...
openaire   +1 more source

Nonlinear Control of Networked Dynamical Systems

open access: yesIEEE 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
openaire   +4 more sources

Control of nonlinear underactuated systems

open access: yes, 1999
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
core   +2 more sources

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