Relative controllability of multiagent systems with pairwise different delays in states

In this manuscript, relative controllability of leader–follower multiagent systems with pairwise different delays in states and fixed interaction topology is considered. The interaction topology of the group of agents is modeled by a directed graph. The agents with unidirectional information flows are selected as leaders, and the others are followers. Dynamics of each follower obeys a generic time-invariant delay differential equation, and the delays of agents, which satisfy a specified condition, are different one another because of the degeneration or burn-in of sensors. With a neighbor-based protocol steering, the dynamics of followers become a compact form with multiple delays. Solution of the multidelayed system without pairwise matrices permutation is obtained by improving the method in the references, and relative controllability is established via Gramian criterion. Further rank criterion of a single delay system is dealt with. Simulation illustrates the theoretical deduction.

Managing the terror of publication bias: A comprehensive p-curve analysis of the Terror Management Theory literature

A key prediction of Terror Management Theory is that people affirm their cultural worldview after they are reminded of death. This mortality salience (MS) hypothesis has been widely explored, yet the presence of questionable research practices may impact the replicability of this literature. We assess the evidential value of the MS hypothesis by conducting a pre-registered p-curve analysis of 860 published studies. Our results suggest that there are nonzero effects in this literature and that power is larger for studies conducted with multiple delays between the independent and dependent variables, for studies that test for main effects in comparison to those that test for interactions, and for studies conducted more recently. However, since the estimated average power of MS studies is 26%, direct replications are unlikely to succeed. We recommend researchers consider our evidence when planning their samples, and that they anticipate smaller effects by increasing their sample sizes.

Periodicity on Neutral-Type Inertial Neural Networks Incorporating Multiple Delays

The classical Hopefield neural networks have obvious symmetry, thus the study related to its dynamic behaviors has been widely concerned. This research article is involved with the neutral-type inertial neural networks incorporating multiple delays. By making an appropriate Lyapunov functional, one novel sufficient stability criterion for the existence and global exponential stability of T-periodic solutions on the proposed system is obtained. In addition, an instructive numerical example is arranged to support the present approach. The obtained results broaden the application range of neutral-types inertial neural networks.

Stability Test of Networked Systems with Multiple Delays

In this paper, we propose a sufficient stability condition for networked systems with multiple delays based on the 2-D polynomials and 2-D Hurwitz-Schur stability. The main advantage of the new stability condition is that it is applicable to the general case of networked systems with multiple, incommensurate delays yet numerically tractable. The characteristic polynomials of networked systems are mapping into 2-D hybrid polynomials, then to test the Hurwitz-Schur stability can. determine the networked systems, examples including system simulations verify the validity of the proposed test algorithms.