Results 31 to 40 of about 988,791 (345)

Accessibility of Nonlinear Time-Delay Systems [PDF]

open access: yes, 2017
A full characterization of accessibility is provided for nonlinear time-delay systems. It generalizes the rank condition which is known for weak controllability of linear time-delay systems, as well as the celebrated geometric approach for delay-free ...
Califano, Claudia, Moog, Claude H.
core   +3 more sources

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

Optimal control of nonlinear systems: a predictive control approach [PDF]

open access: yes, 2003
A new nonlinear predictive control law for a class of multivariable nonlinear systems is presented in this paper. It is shown that the closed-loop dynamics under this nonlinear predictive controller explicitly depend on design parameters (prediction time
Ballance, D.J.   +2 more
core   +3 more sources

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

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

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

On a switching control scheme for nonlinear systems with ill-defined relative degree [PDF]

open access: yes, 2002
This paper discusses the applicability of a switching control scheme for a nonlinear system with ill-defined relative degree. The control scheme switches between exact and approximate input-output linearisation control laws.
Devasia   +4 more
core   +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

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