In the context of digital economy, empowering firm innovation investment through transformation is an important strategy for promoting development in China. This study investigates effects and mechanisms on from perspective total factor productivity, using a sample manufacturing companies listed A-share market China 2012 to 2021. The following three main findings were obtained. First, results both fixed- random-effects regression methods revealed that significantly promotes firms'...

To solve the fixed-time stability problem for stochastic systems, which has not been investigated due to difficulty caused by existence of stochastic, is nonlinear systems described Ito^ differential equation in this note. The main contributions exist in: (1) A new concept, stable probability, proposed, and detailed definition given. (2) criterion theorem proposed judge addition, several corollaries are given proving probability systems. Two simulation examples verify theoretical results paper.

Abstract The paper devotes to study fixed‐time stability of stochastic nonlinear systems and consensus multi‐agent (SMASs). Firstly, a new theorem is established high‐precise estimation settling time provided. Secondly, as an application, the problem SMASs discussed in virtue theorem. A class protocols with perturbation designed by employing neighbour's information. Based on graph theory, matrix theory theorem, we prove that achieved under protocol. Moreover, some sufficient conditions are...

A fixed-time bipartite flocking protocol was proposed in a paper titled by 'note on the for nonlinear multi-agent systems'. Although effective and comprehensive, there exists irrigorousness derivation protocol. In this paper, we aim at improving of proof to ensure is achieved. Moreover, it also found that irrigorous terms choice parameters Xiao et al. [(2020). note systems. Applied Mathematics Letters, 99, 105973]. To overcome shortcomings, an alternative control presented solve problem...

In this paper, fixed-time stability problem of nonlinear system is investigated. Firstly, a new theorem established, and higher precise estimate settling time provided. Secondly, by theoretical deduction, the provided compared with ones in existing stabiity theorems. It shown that our less conservative more accurate than results. Moreover, as practical application, stabilization general neural networks studied. By developing framework protocol applying theorem, some criteria are derived to...

This article deals with the determination of source in 1-D convection–diffusion problem. A method which based on least squares support vector machines is proposed. The approximate solutions consist two parts. first part a known function that satisfies initial/boundary conditions. other combination Gauss Kernel functions regression coefficients, not affected from According to principle regression, problem can be transformed into quadratic programming. has been tested four examples and yielded...

This study discusses the relationship between income inequality and human capital allocation in China. We categorise into intersectoral (state- versus non-state owned) intergenerational inequality. Based on relevant theoretical assumptions empirical tests using existing regional data, we find that influences China three ways. First, has a negative impact mismatch (i.e., inconsistency job skill requirements workers' actual skills). Second, positively affects mismatch. Third, interaction of...

This article is concerned with the bipartite flocking problem in multi-agent systems. Our contributions can be summarized as follows. Firstly, a class of preassigned-time consensus protocols proposed to solve issue Secondly, aid symmetric properties graph theory and Lyapunov stability theorem, we prove that agents divided into two disjointed clusters finite time, they move opposite directions at same magnitude speed. The protocol novel among existing fixed/finite-time associated settling...

In this note, we investigate the fixed time consensus in probability for stochastic multi-agent systems under undirected graph. First, a nonlinear protocol with Gaussian white noise is given, and concept of fixed-time given. Second, prove that can achieve topology by using graph theory, Lyapunov theory theory. Finally, simulation example given to verify effectiveness results.

This study investigates the problem of asymptotic stabilization underactuated surface vehicles (USVs) in presence simultaneous matched and mismatched disturbances. Within framework back-stepping control by introducing a periodic term laws virtual yaw angle surge velocity, design method is developed to stabilize USVs into bounded region. By induction method, novel fixed-time disturbance observer based on higher-order sliding mode differentiators are introduced. Then law proposed observers...

This article focuses on the fixed-time trajectory tracking problem for surface vehicles (SVs) with prescribed performance. First, to realize performance, error transformation and performance function are proposed. In this way, constrained can be solved by stabilization of transformed system. Second, introducing a reduced-order disturbance observer, sliding mode controller is developed control while satisfying both predefined perturbance rejection. It notices that associated settling time...

In this paper, the finite-time bipartite consensus (FTBC) problem is investigated for multi-agent system (MAS) with detail balanced structure. To realize FTBC of MAS, a unified protocol framework developed. Some criteria are established realizing FTBC. It worth noticing that estimations settling time can be given in form mathematical expression. The bring various protocols by choosing different parameters, which extends previous results. Finally, two numerical examples provided to illustrate...

We consider some linear and nonlinear parabolic Volterra difference equations of the forms'-i=l -I t=l for 771 = 0,1,..., M-1 n we obtain several sufficient conditions square-summable stability ^-square-summable zero solution.

In this note, under time varying undirected graph, we discuss fixed-time consensus of multi-agent systems and present one framework for constructing effective distributed protocols, which is continuous state feedbacks. Based on the theory stability, prove that if sum intervals larger than a given time, bounded initial states known, protocol, proposed in solves problems.

Since the concept of "artificial intelligence" was first proposed in Dartmouth Conference 1956, discipline artificial intelligence has entered an era steady progress. Recently, emergence new technology such as big data, cloud computing and Internet Things promoted rapid development represented by deep neural network.