Results 181 to 190 of about 91,926 (215)

Singularly perturbed Chern–Simons theory

Journal of Mathematical Physics, 1990
The Chern–Simons theory of an SU(2) gauge theory in three dimensions is looked at from a perturbative point of view. The pure Chern–Simons action is generalized by adding a conventional Yang–Mills action term. This acts as a singular perturbation. The resulting theory has a moduli space containing that of the pure Chern–Simons version; for certain ...
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Stabilization of Singularly Perturbed Fuzzy Systems

IEEE Transactions on Fuzzy Systems, 2004
This paper presents some novel results for stabilizing singularly perturbed (SP) nonlinear systems with guaranteed control performance. By using Takagi-Sugeno fuzzy model, we construct the SP fuzzy (SPF) systems. The corresponding fuzzy slow and fast subsystems of the original SPF system are also obtained. Two fuzzy control designs are explored. In the
Tzuu-Hseng S. Li, Kuo-Jung Lin
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Singularly Perturbed Semilinear Robin Problems

Studies in Applied Mathematics, 1982
Several phenomena of current interest in catalytic reaction theory can be phrased in terms of solutions of singularly perturbed, second‐order, semilinear differential equations satisfying boundary conditions of Robin type. This paper offers a mathematical theory for such problems in both the scalar and the vector case, and treats some examples ...
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On parametric instability of singularly perturbed systems

Automation and Remote Control, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anatoliy A. Martynyuk, A. S. Khoroshun
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Synthesis of Linear, Singularly Perturbed Systems

Journal of Mathematical Sciences, 2001
In connection with control theory the typical problem of formation of the feedback providing prescribed characteristics of the performance and stability of a closed system is considered. A concept of exterior polynomial is introduced for a system of ordinary differential equations with small parameters.
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Interior Estimates for Singularly Perturbed Problems

Zeitschrift für Analysis und ihre Anwendungen, 1984
The solution of the Dirichlet problem for a singularly perturbed elliptic differential equation \epsilon L_1u + L_0u = h of order 2m converges, for
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On a Class of Singularly Perturbed Parabolic Equations

ZAMM, 2001
Summary: A method of matched asymptotic expansions has been used to construct an \(n\)-term uniformly valid approximate solution for an initial-value problem of a linear singularly perturbed parabolic equation exhibiting an internal layer behavior. It is shown that each internal layer function caused by a non-smooth initial data can be described by an \
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Suboptimization of Singularly Perturbed Control Systems

SIAM Journal on Control and Optimization, 1992
The singularly perturbed control system \(\dot z=f_ 1(z,y,u)\), \(z(0)=z_ 0\), \(\varepsilon\dot y=f_ 2(z,y,u)\), \(y(0)=y_ 0\), is studied and compared with the `reduced system' \(\dot z=f_ 1(z,\psi(z,u),u)\), \(z(0)=z_ 0\), where \(y=\psi(z,u)\) is the root of the static equation \(0=f_ 2(z,y,u)\). It is shown that the reduced system approximates the
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Asymptotics for Singularly Perturbed Reachable Sets

2010
We study, in the spirit of [1], reachable sets for singularly perturbed linear control systems The fast component of the phase vector is assumed to be governed by a strictly stable linear system It is shown in loc.cit that the reachable sets converge as the small parameter e tends to 0, and the rate of convergence is O(eα), where ...
Elena V. Goncharova, Alexander I. Ovseevich   +1 more
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A Singularly Perturbed Control of an Epitaxy Oven

IFAC Proceedings Volumes, 1983
Abstract A method of singular perturbations is used to synthesize a closed loop sub-optimal control of an epitaxy oven in the liquid phase. A method is proposed for transforming the distributed parameter equations modeling the process in a set of singularly perturbed state equations.
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