Results 11 to 20 of about 2,529 (224)
Exponential stability for singularly perturbed systems with state delays
Electronic Journal of Qualitative Theory of Differential Equations, 2000 In this paper the problem of stability of the zero solution of singularly perturbed system of linear differential equation with state delays is investigated.
V. Dragan, A. Ionita
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Adaptive Control for Singularly Perturbed Systems
IEEE Open Journal of Control Systems, 2023 Singularly perturbed systems are a class of mathematical systems that are not well approximated by their limits and can be used to model plants with multiple fast and slow states.
Kameron Eves, John Valasek
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Singularly Perturbed Problems: Asymptotic Analysis and Approximate Solution
, 2022 This book collects papers from the Special Issue "Singularly Perturbed Problems: Asymptotic Analysis and Approximate Solution", published in Axioms. These papers cover different aspects of singular perturbation theory and its applications: axiomatic ...
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Higher order energy expansions for some singularly perturbed Neumann problems [PDF]
, 2003 We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Winter, M +5 more
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A Singularly Perturbed System of Parabolic Equations
Lobachevskii Journal of Mathematics, 2021 The work is devoted to the construction of the asymptotic behavior of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The asymptotics of the solution of such problems contains boundary layer functions.
Omuraliev, A. S., Esengul kyzy, P.
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Event‐triggered control of singularly perturbed linear system with DoS attacks
IET Control Theory & Applications, 2021 This paper presents the event‐triggered control problem of linear singularly perturbed systems in the presence of denial‐of‐service attacks. To save the communication and computing resources, event‐triggered mechanisms in two transmission channels are ...
Xiang Ren, Fei Hao
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Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
, 2000 We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng +8 more
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Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems
IEEE Access, 2021 This paper studies the passive multi-objective optimal control of uncertain singularly perturbed systems. First, the uncertainty is described in a norm-bounded way, and then the state space model of the system is determined.
Lei Liu, Shaofan Feng
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Input-to-State Stability of Singularly Perturbed Control Systems with Delays
Journal of Applied Mathematics, 2013 We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly ...
Yongxiang Zhao, Aiguo Xiao, Li Li
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Axioms, 2019 The problem of complete controllability of a linear time-invariant singularly-perturbed system with multiple commensurate non-small delays in the slow state variables is considered.
Olga Tsekhan
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