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Label-free optical observation of disordered-to-ordered transitions in single intrinsically disordered proteins. [PDF]

NPJ Biosens
Zargarbashi S, Dominguez C, Peters M, Yousefi A, Munday S, Wang Y, Chatterjee S, Hudson AJ, Gordon R, Mellor CJ, Xu L, Rahmani M, Ying C.   +12 more
europepmc   +1 more source

Selection for folding stability predicts observed covariation between protein positions in the PDB

Saebi F, Minning J, Bastolla U.
europepmc   +1 more source

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Spectral Test for the Exponential Stability

Differential Equations, 2021
Consider the \(n\)-th order differential equation \[ A_{0}X^{(n)} +A_{1}X^{(n-1)}+\dots+A_{n-1}\dot{X}+A_{n}X=0, \tag{1} \] where \(A_{0},A_{1},\dots,A_{n}\) are constant \(m\times m\) matrices, the matrix \(A_{0}\) is nonsingular and \(X^{(k)}= \frac{d^{k}X}{dt^{k}}\), \(0 \leq k \leq n\). Let \(S(A)\) denote the spectrum of a matrix \(A\).
Perov, A. I., Kostrub, I. D.
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Spectral Test for Exponential Stability

Mathematical Notes, 2023
In this paper, the authors first consider an nth-order linear differential equation with constant coefficients in the complex Banach algebra B. Next, they also consider a linear system of ordinary differential equations with constant coefficients. Using the theory of commutative Banach algebras, an estimate of the solution with regard to the nth-order ...
Kostrub, I. D., Perov, A. I.
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Exponential Stability With RISE Controllers

IEEE Control Systems Letters, 2022
A class of continuous robust controllers termed Robust Integral of the Sign of the Error (RISE) have been published over the past two decades as a means to yield asymptotic tracking error convergence and asymptotic identification of time-varying uncertainties, for classes of nonlinear systems that are subject to sufficiently smooth bounded exogenous ...
Omkar Sudhir Patil, Axton Isaly, Bin Xian, Warren E. Dixon   +3 more
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Exponential stability and stabilization of nD systems

2015 54th IEEE Conference on Decision and Control (CDC), 2015
The paper considers nonlinear nD discrete and continuous systems described by a state-space model of the Roesser form where the property of exponential stability is characterized by use of a vector Lyapunov function. The property of exponential dissipativity is defined and a particular case of this property, termed exponential passivity, is used ...
Pavel V. Pakshin, Julia P. Emelianova, Krzysztof Galkowski, Eric Rogers   +3 more
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Stability for Multivariate Exponential Families

Journal of Mathematical Sciences, 2001
Let \(E\) be a Euclidean space, let \(Z :\Omega\to E\) be a nondegenerate random vector, and suppose there is an open convex set \(D\subset E\) such that \(P(Z\in \overline{D}) = 1\). If \(\mu\) is the distribution of \(Z\), define measures \(\mu_\lambda\) by \(d\mu_\lambda(x) = e^{\lambda x}d\mu(x)\), \(x\in E\), for any \(\lambda\) in the dual space \
Balkema, A. A., Klüppelberg, C., Resnick, S. I.   +2 more
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Almost exponential stability and exponential stability of resolvent operator families

Semigroup Forum, 2016
A new concept of almost exponential stability of the resolvent operator family \(\{ R(t), \, t\geq 0 \},\) \[ R(t) x = x+ \int_0^t a(t-\tau) A R(\tau) x\,d\tau, \, x\in {\mathcal D}(A),\quad A: {\mathcal D}(A ) \subseteq X\rightarrow X \] is constructed.
Fan, Zhenbin, Dong, Qixiang, Li, Gang
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