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Lyapunov theory demonstrating a fundamental limit on the speed of systems consolidation. [PDF]

Phys Rev Res
Alemi A, Aksay ERF, Goldman MS.
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Addressing nonignorable missing data and heterogeneity in prognostic biomarker assessment. [PDF]

Stat Methods Med Res
Huang X, Li R, Ning J, For The Alzheimer's Disease Neuroimaging Initiative.   +3 more
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Effects of host migration and travel loss on strain competition in a two-patch SIR model. [PDF]

J Math Biol
Chen BS, Wu CH.
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Application of Krylov-Bogoliubov-Mitropolski method to asymmetric gyrostatic 3D motion in multi-fields. [PDF]

Sci Rep
Amer TS, Elneklawy AH, El-Kafly HF.
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Integral Characterizations of Uniform Asymptotic and Exponential Stability with Applications

Mathematics of Control, Signals, and Systems, 2002
Integral characterizations of uniform global asymptotic stability (UGAS) and uniform global exponential stability (UGES) for time-varying differential inclusions are proved. These integral characterizations are used to conclude UGAS from uniform global stability (UGS) and suitable properties of the derivatives of a family of functions.
Andrew R Teel, Antonio Loria
exaly   +3 more sources

Relaxed persistency of excitation for uniform asymptotic stability

IEEE Transactions on Automatic Control, 2001
The authors of this paper propose a relaxed definition for persistence of excitation (uniform persistence of excitation), a property crucial for some stability analyses of parameter identification algorithms and adaptive control systems. The relaxed definition is used to establish uniform global asymptotic stability and uniform local exponential ...
Elena Panteley, Antonio Loria
exaly   +2 more sources

ON UNIFORM ASYMPTOTIC STABILITY OF INFINITE DELAY DIFFERENCE EQUATIONS

Chinese Annals of Mathematics Series B, 2001
The author considers the infinite delay difference equation \[ x(n+1)= F\bigl(n,x_n (\cdot)\bigr) \] with \(x_n(s)= x(n+s)\), \(s\leq 0\), \(F:\mathbb{Z} \times{\mathcal C}_H \to\mathbb{R}^k\) where \({\mathcal C}_H= \{\varphi\in {\mathcal C},\|\varphi \|< H\}\) and \({\mathcal C}\) is the space of the sequences \(\{\varphi_k \}_k ...
Shunian Zhang
exaly   +3 more sources

Uniform asymptotic stability of hybrid dynamical systems with delay

IEEE Transactions on Automatic Control, 2003
We formulate a model for hybrid dynamical systems with delay, which covers a large class of delay systems. Under several mild assumptions, we establish sufficient conditions for uniform asymptotic stability of hybrid dynamical systems with delay via a Lyapunov-Razumikhin technique.
Zhujun Jing, Luonan Chen
exaly   +2 more sources