Reachable Set Estimation for Discrete-Time Systems with Interval Time-Varying Delays and Bounded Disturbances

The reachable set estimation problem for discrete-time systems with delay-range-dependent and bounded disturbances is investigated. A triple-summation term, the upper bound, and the lower bound of time-varying delay are introduced into the Lyapunov function. In this case, an improved delay-range-dependent criterion is established for the addressed problem by constructing the appropriate Lyapunov functional, which guarantees that the reachable set of discrete-time systems with time-varying delay and bounded peak inputs is contained in the ellipsoid. It is worth mentioning that the initial value of the system does not need to be zero. Then, the reachable set estimation problem for time-delay systems with polytopic uncertainties is investigated. The effectiveness and the reduced conservatism of the derived results are demonstrated by an illustrative example

Phylogeography and demographic history of the cyprinid fish Barbodes semifasciolatus: implications for the history of landform changes in south mainland China, Hainan and Taiwan

Hainan Island and Taiwan Island are adjacent to the southern margin of mainland China and Vietnam. During glacial periods, global sea levels dropped, allowing that the land bridges connected the continental island and mainland, connecting rivers and providing dispersal opportunities that shaped the origin and diversification of freshwater fishes. Barbodes semifasciolatus is distributed in various water systems of Vietnam, Hainan, Taiwan, and southern mainland China and is restricted to the southern region of the Min River. Our study aimed to evaluate the genetic diversity and phylogeography of B. semifasciolatus using the mtDNA cyt b gene (1,141 bp). A total of 107 haplotypes were identified from 395 specimens in 23 populations, and high haplotype diversity (1.000) and low nucleotide diversity (0.0134) were detected. Mitochondrial phylogenetic analysis and haplotype network analyses revealed three major lineages according to geographical distribution. Lineage A was mainly distributed in Hainan Island, Vietnam and the southern region of the Pearl River in mainland China. Lineage B was distributed only in southeastern Hainan Island. Lineage C was distributed in the coastal rivers of mainland China and Taiwan. We suggest that the river in the Guangdong region is a colonization route in South Taiwan and that the populations distributed in the Pearl River region moved southward to Hainan Island and Vietnam based on the network and Bayesian binary MCMC (BBM) analysis. Our demographic history results indicated that the populations of B. semifasciolatus experienced a bottleneck event following a recent population expansion (DECINC model) supported by ABC analysis. We suggest that sea-level changes exerted pronounced effects on the demography of B. semifasciolatus on the continental island and in the mainland during the late Pleistocene glacial cycles

Inhalation of Hydrogen Attenuates Progression of Chronic Heart Failure via Suppression of Oxidative Stress and P53 Related to Apoptosis Pathway in Rats

Background: Continuous damage from oxidative stress and apoptosis are the important mechanisms that facilitate chronic heart failure (CHF). Molecular hydrogen (H2) has potentiality in the aspects of anti-oxidation. The objectives of this study were to investigate the possible mechanism of H2 inhalation in delaying the progress of CHF.Methods and Results: A total of 60 Sprague-Dawley (SD) rats were randomly divided into four groups: Sham, Sham treated with H2, CHF and CHF treated with H2. Rats from CHF and CHF treated with H2 groups were injected isoprenaline subcutaneously to establish the rat CHF model. One month later, the rat with CHF was identified by the echocardiography. After inhalation of H2, cardiac function was improved vs. CHF (p < 0.05), whereas oxidative stress damage and apoptosis were significantly attenuated (p < 0.05). In this study, the mild oxidative stress was induced in primary cardiomyocytes of rats, and H2 treatments significantly reduced oxidative stress damage and apoptosis in cardiomyocytes (p < 0.05 or p < 0.01). Finally, as a pivotal transcription factor in reactive oxygen species (ROS)-apoptosis signaling pathway, the expression and phosphorylation of p53 were significantly reduced by H2 treatment in this rat model and H9c2 cells (p < 0.05 or p < 0.01).Conclusion: As a safe antioxidant, molecular hydrogen mitigates the progression of CHF via inhibiting apoptosis modulated by p53. Therefore, from the translational point of view and speculation, H2 is equipped with potential therapeutic application as a novel antioxidant in protecting CHF in the future

Neural Network Predictive Control for Autonomous Underwater Vehicle with Input Delay

A path tracking controller is designed for an autonomous underwater vehicle (AUV) with input delay based on neural network (NN) predictive control algorithm. To compensate for the time-delay in control system and realize the purpose of path tracking, a predictive control algorithm is proposed. An NN is used to estimate the nonlinear uncertainty of AUV induced by hydrodynamic coefficients and the coupling of the surge, sway, and yaw angular velocity. By Lyapunov theorem, stability analysis is also given. Simulation results show the effectiveness of the proposed control strategy

GROUP INVERSE FOR THE BLOCK MATRIX WITH TWO IDENTICAL SUBBLOCKS OVER SKEW FIELDS ∗

Abstract. Let K be a skew field and Kn×n be the set of all n × n matrices over K. The purpose of this paper is to give some necessary and sufficient ( ) conditions for the existence and the A B representations of the group inverse of the block matrix under some conditions. C D Key words. Skew fields, Block matrix, Group inverse. AMS subject classifications. 15A09; 65F20