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A translational perspective of the malignant hematopoietic proteoglycome. [PDF]
Borghini N +5 more
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Fine-grained causal effect estimation of learning resources via dynamic causal heterogeneous graph neural networks. [PDF]
Ren Y, Chen Z, Jiang X, Du Z.
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On the Exponential Stability of Singularly Perturbed Systems
SIAM Journal on Control and Optimization, 1992For singularly perturbed systems \(\dot x=f(t,x,z,\mu)\), \(\mu\dot z=g(t,x,z,\mu)\), \textit{A. Saberi} and \textit{H. Khalil} [IEEE Trans. Autom. Control AC--29, 542-550 (1984; Zbl 0538.93049)] have shown that if both the reduced-order system \((\mu=0)\) and the boundary-layer system are exponentially stable, then also the full-order system is stable
M. CORLESS, GLIELMO L.
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Linear Singularly Perturbed Systems
Ukrainian Mathematical Journal, 2002This paper deals with singularly perturbed linear systems of the form \[ \epsilon B(t)\dot x=(A_0(t)+\epsilon A_1(t))x. \] The case is studied where the matrix pencil \(A_0(t)-\lambda B(t)\) is singular so that \(\det B(t)\equiv0\) and \(\det(A_0(t)-\lambda B(t))\equiv0\).
Starun, I. I., Shkil', M. I.
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ON THE CONTROL OF SINGULARLY PERTURBED NONLINEAR SYSTEMS
IFAC Proceedings Volumes, 1992Abstract Using the integral manifold concept, a recent systematic method to control e-perturbed nonlinear systems is here extended to a rather wide class of singularly perturbed MIMO systems. This class includes singularly perturbed systems exibiting an affine structure in the control after order reduction.
Barbot J. P. +3 more
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Applicable Analysis, 1987
This paper discusses existence and nonexistence of C1 quasi-steady-states to singularly perturbed problems near a singular point. In contrast to the existence and uniqueness result well known for the same problem near a regular point, the answer depends on generic conditions involving both the differential and the transcendental equations of the system.
Patrick J. Rabier, Shiva Shankar
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This paper discusses existence and nonexistence of C1 quasi-steady-states to singularly perturbed problems near a singular point. In contrast to the existence and uniqueness result well known for the same problem near a regular point, the answer depends on generic conditions involving both the differential and the transcendental equations of the system.
Patrick J. Rabier, Shiva Shankar
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Scale-invariance in singularly perturbed systems
53rd IEEE Conference on Decision and Control, 2014The 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 +2 more
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On hopf bifurcations in singularly perturbed systems
IEEE Transactions on Automatic Control, 2003It has been shown recently that, under some generic assumptions, there exists a Hopf curve /spl lambda/ = /spl lambda/ (/spl epsiv/) for singularly perturbed systems of the form x/spl dot/ = f (x, y, /spl lambda/), /spl epsiv/y/spl dot/ = g(x, y, /spl lambda/) near the singular surface defined by det g/sub v/ = 0.
L. Yang, Yun Tang, Dongyun Du
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