Depinning of the Charge-Density Waves in Quasi-2D 1T-TaS2 Devices Operating at Room Temperature

We report on depinning of nearly-commensurate charge-density waves in 1T-TaS2 thin-films at room temperature. A combination of the differential current-voltage measurements with the low-frequency noise spectroscopy provide unambiguous means for detecting the depinning threshold field in quasi-2D materials. The depinning process in 1T-TaS2 is not accompanied by an observable abrupt increase in electric current - in striking contrast to depinning in the conventional charge-density-wave materials with quasi-1D crystal structure. We explained it by the fact that the current density from the charge-density waves in the 1T-TaS2 devices is orders of magnitude smaller than the current density of the free carriers available in the discommensuration network surrounding the commensurate charge-density-wave islands. The depinning fields in 1T-TaS2 thin-film devices are several orders of magnitude larger than those in quasi-1D van der Waals materials. Obtained results are important for the proposed applications of the charge-density-wave devices in electronics.

Simultaneous Estimation of State and Packet-Loss Occurrences in Networked Control Systems

Estimating the occurrence of packet losses in a networked control systems (NCS) can be used to improve the control performance and to detect failures or cyber-attacks. This study considers simultaneous estimation of the plant state and the packet loss occurrences at each time step. After formulation of the problem, two solutions are proposed. In the first one, an input-output representation of the NCS model is used to design a recursive filter for estimation of the packet loss occurrences. This estimation is then used for state estimation through Kalman filtering. In the second solution, a state space model of NCS is used to design an estimator for both the plant state and the packet loss occurrences which employs a Kalman filter. The effectiveness of the solutions is shown during an example and comparisons are made between the proposed solutions and another solution based on the interacting multiple model estimation method.

Several Quantitative Characterizations of Some Specific Groups

Let $G$ be a finite group and let $pi(G)={p_1, p_2, ldots, p_k}$ be the set of prime divisors of $|G|$ for which $p_1<p_2<cdots<p_k$. The Gruenberg-Kegel graph of $G$, denoted ${rm GK}(G)$, is defined as follows: its vertex set is $pi(G)$ and two different vertices $p_i$ and $p_j$ are adjacent by an edge if and only if $G$ contains an element of order $p_ip_j$. The degree of a vertex $p_i$ in ${rm GK}(G)$ is denoted by $d_G(p_i)$ and the $k$-tuple $D(G)=left(d_G(p_1), d_G(p_2), ldots, d_G(p_k)right)$ is said to be the degree pattern of $G$. Moreover, if $omega subseteq pi(G)$ is the vertex set of a connected component of ${rm GK}(G)$, then the largest $omega$-number which divides $|G|$, is said to be an order component of ${rm GK}(G)$. We will say that the problem of OD-characterization is solved for a finite group if we find the number of pairwise non-isomorphic finite groups with the same order and degree pattern as the group under study. The purpose of this article is twofold. First, we completely solve the problem of OD-characterization for every finite non-abelian simple group with orders having prime divisors at most 29. In particular, we show that there are exactly two non-isomorphic finite groups with the same order and degree pattern as $U_4(2)$. Second, we prove that there are exactly two non-isomorphic finite groups with the same order components as $U_5(2)$.