Results 181 to 190 of about 2,530 (224)

Scale-invariance in singularly perturbed systems

53rd IEEE Conference on Decision and Control, 2014
The property termed scale-invariance, or fold-change detection, represents a phenomenon that is observed in a variety of biological systems, ranging from bacterial to eukaryotic signaling pathways. Mathematically, it represents invariance of the complete output trajectory with respect to a rescaling of input magnitudes.
Maja Skataric, Evgeni V. Nikolaev, Eduardo D. Sontag   +2 more
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Singularly Perturbed Systems of Volterra Equations

Journal of Applied Analysis, 2002
This paper studies the behaviour of the solution \(u(t,\varepsilon)\) of the system of Volterra integral equations \[ \varepsilon u(t) = f(t) + \int_0^t A(t,s)u(s)\,ds, \quad 0 \leq t \leq T, \] as the positive parameter \(\epsilon\) tends to zero. Both \(f\) and \(A\) are continuous, and the eigenvalues of \(A(t,t)\) are supposed to be negative.
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Interval observers design for singularly perturbed systems

53rd IEEE Conference on Decision and Control, 2014
This paper deals with interval observers design for two-time singularly perturbed systems. The full-order system is firstly decoupled into slow and fast subsystems. Then, using the cooperativity theory, an interval observer is designed for the slow subsystem assuming that the singular perturbed parameter is uncertain.
Yousfi, Basma, Raissi, Tarek, Amairi, Messaoud, Aoun, Mohamed   +3 more
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On Invariant Manifolds in Singularly Perturbed Systems

Journal of Dynamical and Control Systems, 1999
The author deals with a slow-fast system \[ \dot x=f(x,y, \varepsilon), \quad \dot y=\varepsilon g(x,y, \varepsilon), \quad \dot\varepsilon=0 \] where \(x\in\mathbb{R}^\ell\), \(y\in\mathbb{R}^m\), \(\varepsilon\in \mathbb{R}\). Assuming that the fast system \(\dot x=f(x,y,0)\), \(\dot y=0\) has a compact smooth invariant manifold with boundary \(M_0 ...
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Relaxation in singularly perturbed control systems

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2004
When slow and fast motions are coupled in a singularly perturbed control system, the application of relaxed controls may be needed on several levels. There may be a need to relax the control affecting the slow and the fast motions and there may be a need to relax the fast flow itself, which serves as a control for the slowly dynamics.
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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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On output feedback control of singularly perturbed systems

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GLIELMO L, CORLESS M.
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Singularly perturbed elliptic systems

Nonlinear Analysis: Theory, Methods & Applications, 2006
The authors prove the existence of a family of positive solutions for two coupled nonlinear stationary Schrödinger equations, concentrating at a point in the limit. In some cases the location of the concentration point is given in terms of the potential functions of the stationary Schrödinger equations.
Alves, Claudianor O., Soares, Sérgio H. M.   +1 more
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Controlled switching in singularly perturbed systems

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
When slow and fast motions are coupled in a singularly perturbed control system, abrupt changes in the fast flow may result in switching between modes in the slow dynamics. Such changes may be desirable due to design specifications or considerations of optimality.
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Stabilization of Singularly Perturbed Systems

2016
Stability analysis and controller design are significant problems of dynamic systems in theory and practice that have attracted the interest of many investigators [4]. In recent decades, researchers have focused on the problem of stability analysis and stabilization for SPSs, and these approaches can improve the control precision of system.
Chenxiao Cai, Zidong Wang, Jing Xu, Yun Zou   +3 more
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