Time-domain response of nabla discrete fractional order systems

This paper investigates the time--domain response of nabla discrete fractional order systems by exploring several useful properties of the nabla discrete Laplace transform and the discrete Mittag--Leffler function. In particular, we establish two fundamental properties of a nabla discrete fractional order system with nonzero initial instant: i) the existence and uniqueness of the system time--domain response; and ii) the dynamic behavior of the zero input response. Finally, one numerical example is provided to show the validity of the theoretical results.Comment: 13 pages, 6 figure

Distributed optimization for multi-agent system over unbalanced graphs with linear convergence rate

summary:Distributed optimization over unbalanced graphs is an important problem in multi-agent systems. Most of literatures, by introducing some auxiliary variables, utilize the Push-Sum scheme to handle the widespread unbalance graph with row or column stochastic matrix only. But the introduced auxiliary dynamics bring more calculation and communication tasks. In this paper, based on the in-degree and out-degree information of each agent, we propose an innovative distributed optimization algorithm to reduce the calculation and communication complexity of the conventional Push-Sum scheme. Furthermore, with the aid of small gain theory, we prove the linear convergence rate of the proposed algorithm

A stochastic mirror-descent algorithm for solving AXB=CAXB=C over an multi-agent system

summary:In this paper, we consider a distributed stochastic computation of $AXB=C$ with local set constraints over an multi-agent system, where each agent over the network only knows a few rows or columns of matrixes. Through formulating an equivalent distributed optimization problem for seeking least-squares solutions of $AXB=C$, we propose a distributed stochastic mirror-descent algorithm for solving the equivalent distributed problem. Then, we provide the sublinear convergence of the proposed algorithm. Moreover, a numerical example is also given to illustrate the effectiveness of the proposed algorithm

A penalty ADMM with quantized communication for distributed optimization over multi-agent systems

summary:In this paper, we design a distributed penalty ADMM algorithm with quantized communication to solve distributed convex optimization problems over multi-agent systems. Firstly, we introduce a quantization scheme that reduces the bandwidth limitation of multi-agent systems without requiring an encoder or decoder, unlike existing quantized algorithms. This scheme also minimizes the computation burden. Moreover, with the aid of the quantization design, we propose a quantized penalty ADMM to obtain the suboptimal solution. Furthermore, the proposed algorithm converges to the suboptimal solution with an $O(\frac{1}{k})$ convergence rate for general convex objective functions, and with an R-linear rate for strongly convex objective functions

Strategic Orientation, Dynamic Capabilities, and Digital Transformation of Commercial Banks: A Fuzzy-Set QCA Approach

Digital transformation is a critical challenge for commercial banks to achieve sustainable competitive advantages in the digital economy. However, conventional research focuses too much on constructing linear models to explain the non-linear relationships between and among the factors relevant to digital transformation. By adopting the configurational framework, we propose that the interactions between strategy and dynamic capabilities determine the paths of how digital transformation may succeed or fail. The fuzzy-set qualitative comparative analysis (fsQCA) of digital transformation practices by Chinese commercial banks shows that: (1) a single condition of strategic orientation or dynamic capabilities does not constitute the necessary condition for high digital transformation, yet market orientation plays a more general role in generating high digital transformation. (2) There are three configurational paths that can contribute to high digital transformation of commercial banks, such as sensing capability-driven paths dominated by strategic orientation, integrating capability-driven paths dominated by strategic orientation, and the market orientation-driven paths dominated by dynamic capabilities. (3) There are two configurational paths that lead to non-high digital transformation, which verifies the existence of the asymmetrical relationship compared to the configurational paths of high digital transformation; (4) In the pathways dominated by strategic orientation, there is a substitutive relationship between sensing capability and integrating capability. The findings make contributions to the literature on digital transformation and provide implications for the digital transformation of commercial banks

Strategic Orientation, Dynamic Capabilities, and Digital Transformation of Commercial Banks: A Fuzzy-Set QCA Approach

Digital transformation is a critical challenge for commercial banks to achieve sustainable competitive advantages in the digital economy. However, conventional research focuses too much on constructing linear models to explain the non-linear relationships between and among the factors relevant to digital transformation. By adopting the configurational framework, we propose that the interactions between strategy and dynamic capabilities determine the paths of how digital transformation may succeed or fail. The fuzzy-set qualitative comparative analysis (fsQCA) of digital transformation practices by Chinese commercial banks shows that: (1) a single condition of strategic orientation or dynamic capabilities does not constitute the necessary condition for high digital transformation, yet market orientation plays a more general role in generating high digital transformation. (2) There are three configurational paths that can contribute to high digital transformation of commercial banks, such as sensing capability-driven paths dominated by strategic orientation, integrating capability-driven paths dominated by strategic orientation, and the market orientation-driven paths dominated by dynamic capabilities. (3) There are two configurational paths that lead to non-high digital transformation, which verifies the existence of the asymmetrical relationship compared to the configurational paths of high digital transformation; (4) In the pathways dominated by strategic orientation, there is a substitutive relationship between sensing capability and integrating capability. The findings make contributions to the literature on digital transformation and provide implications for the digital transformation of commercial banks

Effects of imidazolium-based ionic liquids on the isobaric vapor-liquid equilibria of methanol plus dimethyl carbonate azeotropic systems

The separation of methanol (MeOH) and dimethyl carbonate (DMC) is important but difficult due to the formation of an azeotropic mixture. In this work, isobaric vapor-liquid equilibrium (VLE) data for the ternary systems containing different imidazolium-based ionic liquids (ILs), i.e. MeOH + DMC + 1-butyl-3-methy-limidazolium bis[(trifluoromethyl)sulfonyl]imide ([Bmim][Tf2N]), MeOH + DMC + 1- ethyl-3-methyl-imidazolium bis [( trifluoromethyl)sulfonyl]imide ([Emim][Tf2N]), and MeOH + DMC + 1-ethyl-3-methylimidazolium hexafluorophosphate ([Emim][PF6])) were measured at 101.3 kPa. The mole fraction of IL was varied from 0.05 to 0.20. The experimental data were correlated with the NRTL and Wilson equations, respectively. The results show that imidazolium-based ILs were beneficial to improve the relative volatility of MeOH to DMC, and [Bmim][Tf2N] showed a much more excellent performance on the activity coefficient of MeOH. The interaction energies of system componentswere calculated using Gaussian program, and the effects of cation and anion on the separation coefficient of the azeotropic system were discussed. (C) 2019 The Chemical Industry and Engineering Society of China, and Chemical Industry Press Co., Ltd. All rights reserved