In this work we discuss nonuniform and semi-uniform input-to-state stability (iss) properties for time-varying systems. Treating the iss properties for a time varying system as properties related to output stability for a time invariant auxiliary system, we provide several characterizations in terms of Lyapunov functions and the asymptotic gains; as well as a small gain theorem, for the time va...

Magnetic-fluorescent lanthanide doped sodium lutetium fluoride (NaLuF4:Yb3+/Er3+/Gd3+) nanocrystals were synthesized via facile hydrothermal method by varying concentration of Gd3+. Powder X-ray powder diffraction (PXRD), scanning electron microscopy (SEM),transmission electron microscopy (TEM), energy dispersive X-ray spectroscopy (EDS), p...

[1] Detailed three-dimensional in-situ measurements of deformation at depth are used to examine the rheology of a 6 10 m block of temperate glacier ice. Assuming that the viscosity of this ice is primarily dependent on stress, the relationship between inferred stress and measurements of strain-rate above 115 m depth suggest a constitutive relationship with a stress exponent n 1. Deformation bel...

Stimulated by a general necessary and sufficient condition for robust stability of sampled-data systems stated in an operator-theoretic framework, we introduce a novel technique called linear periodically timevarying (LPTV) scaling. We then give a simple example of sampled-data systems in which this new scaling allows exact robust stability analysis for static uncertainties while the convention...

The dynamics of gene transcription is tightly regulated in eukaryotes. Recent experiments have revealed various kinds of transcriptional dynamics, such as RNA polymerase II pausing, that involves regulation at the transcription initiation stage, and the choice of different regulation pattern is closely related to the physiological functions of the target gene. Here we consider a simplified mode...

We provide a comprehensive analysis of the time-varying modified DFT (MDFT) filter bank based on the general time-varying filter bank theories (Wang, 2005, 2006, 2008, 2009) in both the time domain and frequency domain. We give firstly the description of the time-invariant MDFT filter bank including its perfect reconstruction (PR) condition, its mechanism of aliasing error cancellation and the ...

We propose a novel method to image spin properties of spintronic systems using the spatially confined field of a scanned micromagnetic probe in conjunction with existing electrical or optical global spin detection schemes. It is thus applicable to all material systems susceptible to either of those approaches. The proposed technique relies on numerical solutions of the spin diffusion equation i...

The formation of network structure is mainly influenced by an individual node’s activity and its memory, where activity can usually be interpreted as the individual inherent property and memory can be represented by the interaction strength between nodes. In our study, we define the activity through the appearance pattern in the time-aggregated network representation, and quantify the memory th...

[1] Subduction zone plate boundary megathrust faults accommodate relative plate motions with spatially varying sliding behavior. The 2004 Sumatra-Andaman (Mw 9.2), 2010 Chile (Mw 8.8), and 2011 Tohoku (Mw 9.0) great earthquakes had similar depth variations in seismic wave radiation across their wide rupture zones – coherent teleseismic short-period radiation preferentially emanated from the dee...

The problem to track time-varying properties of a signal is studied. The somewhat contradictory notion of \time-varying spectrum" and how to estimate the \current" spectrum in an on-line fashion is discussed. The traditional concepts and relations between time and frequency resolution are crucial for this problem. An adaptive estimation algorithm is used to estimate the parameters of a time-var...