Results 171 to 180 of about 17,380,414 (202)

Averaging of singularly perturbed systems

Nonlinear Analysis: Theory, Methods & Applications, 1997
The paper considers singularly perturbed control systems of the form \[ \dot z=f(z,y,u(t),\varepsilon), \qquad \dot y=g(x,y,u(t),\varepsilon). \] Instead of studying the algebraic differential system obtained by letting \(\varepsilon\to 0\) the author takes the averaging approach, constructing a limiting differential inclusion for the slow motion.
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On linearization of nonlinear singularity perturbed systems

IEEE Transactions on Automatic Control, 1986
The linearization of nonlinear singularly perturbed systems with the help, in the first case, of corresponding map finding for systems with linear fast variables and using in the second case, the slow invariant manifold for general nonlinear singularly perturbed control systems is considered.
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The phenomenon of “breaking down” in singularly perturbed systems

Journal of Mathematical Sciences, 1996
See the review in Zbl 0804.34050.
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Controlled Singularly Perturbed Systems

1990
Many control problems can be modelled by systems of differential equations where the state variable can be divided into two coupled groups. Those in the first group change at a “normal” rate, and those in the second group change at a much “faster” rate.
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Finite-Time Fuzzy Control for Nonlinear Singularly Perturbed Systems With Input Constraints

IEEE Transactions on Fuzzy Systems, 2022
Wei Xing Zheng, Shengyuan Xu
exaly  

A novel -dependent Lyapunov function and its application to singularly perturbed systems

Automatica, 2021
Wei Xing Zheng, Shengyuan Xu
exaly  

Singularly Perturbed Discontinuous Systems

1992
One of the major obstacles in the use of efficient tools for designing control systems is the high order of equations that describe their behaviour. In many cases they may be reduced to a lower order model by neglecting small time constants or rejecting fast components of the system overall motion.
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Reachable set estimation for continuous delayed singularly perturbed systems with bounded disturbances

Applied Mathematics and Computation, 2022
Xiangyong Chen, Xianglei Jia, Guobao Liu
exaly  

On the Time-Discretization of Singularly Perturbed Uncertain Systems

2006
Uncertain dynamical systems with two time scales are under consideration. The ratio of the magnitudes of the multi-valued vector fields related to the slow and fast subsystems is given as a singular perturbation parameter. The averaging method is employed in order to construct a limiting system for the slow subsystem, representing the case of a ...
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H∞ control for singularly perturbed systems

Automatica, 1998
Wen Tan, Tinpui Leung, Qili Tu
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