Results 281 to 290 of about 1,080,088 (350)

Singular Perturbation for the Dynamic Modeling of Integrated Energy Systems

IEEE Transactions on Power Systems, 2020
An integrated energy system (IES) represents coordinated operations of constrained natural gas (NG), electric power, and thermal systems in three distinctly different time scales.
Fu Shen, P. Ju, M. Shahidehpour, Zhiyi Li, Chong Wang, Xingyu Shi   +5 more
semanticscholar   +1 more source

Singular Perturbations of Bifurcations

SIAM Journal on Applied Mathematics, 1977
An asymptotic theory is presented to analyze perturbations of bifurcations of the solutions of nonlinear problems. The perturbations may result from imperfections, impurities, or other inhomogeneities in the corresponding physical problem. It is shown that for a wide class of problems the perturbations are singular.
Matkowsky, Bernard J., Reiss, Edward L.
openaire   +1 more source

Nonlinear diving stability and control for an AUV via singular perturbation

, 2020
This paper presents control design and nonlinear stability analysis for path-following of an underactuated autonomous underwater vehicle (AUV), with dynamics restricted to the longitudinal plane.
Ming Lei
semanticscholar   +1 more source

Full-State Tracking Control for Flexible Joint Robots With Singular Perturbation Techniques

IEEE Transactions on Control Systems Technology, 2019
This paper proposes a practical method to realize multivariable full-state tracking control for industrial robots with elastic joints. Unlike existing methods, the proposed method does not require high-order derivatives of the link states such as ...
Joonyoung Kim, E. Croft
semanticscholar   +1 more source

Numerical solutions of linear and nonlinear singular perturbation problems

Computers and Mathematics With Applications, 2008
A new method is developed by detecting the boundary layer of the solution of a singular perturbation problem. On the non-boundary layer domain, the singular perturbation problem is dominated by the reduced equation which is solved with standard ...
Schultz, David H., Zhang, Weiqun, Lin, Tzu-Chu   +2 more
exaly   +2 more sources

SINGULAR PERTURBATION AND INTERPOLATION

Mathematical Models and Methods in Applied Sciences, 1994
It is well known that the rate of convergence of the solution uε of a singular perturbed problem to the solution u of the unperturbed equation can be measured in terms of the “smoothness” of u; smoothness which, in turn, can be expressed in terms of linear interpolation theory.
BAIOCCHI C., SAVARE', GIUSEPPE
openaire   +2 more sources

Singular Perturbation-Based Fault-Tolerant Control of the Air-Breathing Hypersonic Vehicle

IEEE/ASME transactions on mechatronics, 2019
This article studies the fault-tolerant control issue of the air-breathing hypersonic vehicle subject to the actuator fault. Through singular perturbation modeling, the longitudinal dynamics of the vehicle can be transformed into a three-time-scale ...
Wenjing Ren, B. Jiang, Hao Yang
semanticscholar   +1 more source

Nonfragile $\mathcal{H}_{\infty}$ Control for Fuzzy Markovian Jump Systems Under Fast Sampling Singular Perturbation

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2018
This paper is concerned with the nonfragile ${\mathcal {H}_{\infty }}$ control problem for discrete-time fast sampling Markovian jump singularly perturbed nonlinear systems described by the Takagi-Sugeno fuzzy model.
Hao Shen, Yunzhe Men, Zhengguang Wu, Ju H. Park   +3 more
semanticscholar   +1 more source

SINGULAR PERTURBATIONS OF QUADRATIC MAPS

International Journal of Bifurcation and Chaos, 2004
We give a complete description of the dynamics of the mapping fε(z)=z2+(ε/z) for positive real values of ε. We then consider two generalizations: the case of complex ε and the mapping z→zn+(ε/zm), where ε is positive and real. In both cases we provide a full characterization of the map for a certain set of parameters, and give observations based on ...
Robert L. Devaney, Kresimir Josic, Yakov Shapiro   +2 more
openaire   +1 more source

Singular Perturbation and the Energy of Folds

Journal of Nonlinear Science, 2000
The paper deals with the asymptotic behaviour as \(\varepsilon\downarrow 0\) of the energy functionals \[ E_\varepsilon(u):= \int_\Omega \varepsilon|\nabla\nabla u|^2+ {(1-|\nabla u|^2)^2\over\varepsilon} dx \tag{1} \] and contains a relevant progress towards the conjecture that the limiting energy is given by \[ {1\over 3}\int_D |[\nabla u]|^3 d ...
Weimin Jin, Robert V. Kohn
openaire   +2 more sources