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This paper mainly proposes a novel stability condition for distributed order composite systems with delay based on some properties of Caputo fractional-order derivatives in distributed order form that we extend and the generalization of a new method of vector Lyapunov function combined with M-matrix. First, we extend some properties of the Caputo fractional-order derivative to its distributed order form of it effectively. Next, we use a new method to solve the stability problem of the distributed order systems via a series of class − κ functions. Then, we propose the novel stability condition of the distributed order composite systems whose interconnect part is not only linear but also nonlinear based on the generalization of a new method which is vector Lyapunov function combined with M-matrix. Moreover, we solve the stability problem of the distributed order composite systems with time-delay. Finally, we provide several numerical simulation examples for all different cases show the correctness and usefulness of the novel stability condition. [ABSTRACT FROM AUTHOR]

To deal with the demerits of constriction particle swarm optimization (CPSO), such as relapsing into local optima, slow convergence velocity, a modified CPSO algorithm is proposed by improving the velocity update formula of CPSO. The random velocity operator from local optima to global optima is added into the velocity update formula of CPSO to accelerate the convergence speed of the particles to the global optima and reduce the likelihood of being trapped into local optima. Finally the convergence of the algorithm is verified by calculation examples. [ABSTRACT FROM AUTHOR]

The autoionizing resonances (2s2)1S, (2p2)1D, and (2s2p)1P of helium have been investigated employing ejected-electron spectroscopy by fast-electron impact at incident energies of 250-2000 eV and ejected angles of 26°-116°. Shore parameters of the line shapes for these three resonances have been obtained in such high incident energy regime except at 250 eV. Distinct discrepancies between the present results at 250 eV and those of McDonald and Crowe at 200 eV [D. G. McDonald and A. Crowe, J. Phys. B 25, 2129 (1992); 25, 4313 (1992)] and Sise et al. at 250 eV [O. Sise, M. Dogan, I. Okur, and A. Crowe, Phys. Rev. A 84, 022705 (2011)], especially for 1D and 1P states, are also observed. [ABSTRACT FROM AUTHOR]

Cosmological tensions can arise within the Lamda cold dark matter scenario amongst different observational windows, which may indicate new physics beyond the standard paradigm if confirmed by measurements. In this article, we report how to alleviate both the H0 and s8 tensions simultaneously within torsional gravity from the perspective of effective field theory. Following these observations, we construct concrete models of Lagrangians of torsional gravity. Specifically, we consider the parametrization f (T) = - T - 2/M²P+aTß, where two out of the three parameters are independent. This model can efficiently fit observations solving the two tensions. To our knowledge, this is the first time where a modified gravity theory can alleviate both H0 and s8 tensions simultaneously, hence, offering an additional argument in favor of gravitational modification. [ABSTRACT FROM AUTHOR]