An improved stability criterion for linear time-varying delay systems

This paper considers the stability problem of linear systems with time-varying delays. A modified Lyapunov–Krasovskii functional (LKF) is constructed, which consists of delay-dependent matrices and double integral items under two time-varying subintervals. Based on the modified LKF, a less conservative stability criterion than some previous ones is derived. Furthermore, to obtain a tighter bound of the integral terms, the quadratic generalized free-weighting matrix inequality (QGFMI) is fully applied to different delay subintervals, which further reduces the conservatism of the stability criterion. Finally, three numerical examples are presented to show the effectiveness of the proposed approach

New Results on Stability Analysis of Uncertain Neutral-Type Lur'e Systems Derived from a Modified Lyapunov-Krasovskii Functional

This paper is concerned with the problem of the absolute and robustly absolute stability for the uncertain neutral-type Lur’e system with time-varying delays. By introducing a modified Lyapunov-Krasovskii functional (LKF) related to a delay-product-type function and two delay-dependent matrices, some new delay-dependent robustly absolute stability criteria are proposed, which can be expressed as convex linear matrix inequality (LMI) framework. The criteria proposed in this paper are less conservative than some recent previous ones. Finally, some numerical examples are presented to show the effectiveness of the proposed approach

Stability analysis of load frequency control for power systems with interval time-varying delays

This study investigates the stability problem of load frequency control (LFC) for power systems with interval time-varying delays. The two categories of time delays, the lower bound being zero and non-zero, are considered. The systems can be described as time delay systems of load disturbances. First, an augmented Lyapunov–Krasovskii functional (LKF) is constructed. Some delay-dependent nonintegral terms and single integral terms are additionally introduced to make full use of the information on the system state variables and the time-varying delays. Second, to overcome the problem of nonlinear inequalities caused by the augmented LKF, the nonlinear inequalities are converted into linear matrix inequalities (LMIs) by applying the new negative definite inequality equivalence transformation lemma, which can be solved easily by the MATLAB LMI toolbox. A new stability criterion is presented by applying the Lyapunov stability theory. The stability criterion is less conservative than some existing literature studies, which further improves the stability margin for the power systems based on LFC. Finally, some numerical examples are given to show the effectiveness of the proposed method and the superiority of the results

Formation and evolution of rodingite, serpentinite and metamorphic sole from Xigaze ophiolite, Yarlung-Zangbo suture, southern Tibet

Ophiolithe und verwandte metamorphe Gesteine sind wichtig, um verschwundene Ozeane zu rekonstruieren und geochemische Zyklen zu verfolgen. Diese Arbeit untersucht Xigaze Rodingite und metamorphe Sohlen im Serpentinit. Zwei Rodingitarten zeichnen thermodynamische Bedingungen von Ozeanboden bis Subduktionszone auf. Die Arbeit modelliert Redox-Eigenschaften von Flüssigkeiten, die aus dem Serpentinit freigesetzt werden. Verlorener Kohlenstoff und Schwefel werden als oxidierende Arten freigesetzt. Die Modelle stimmen mit Beobachtungen von Rodingit überein. Ein Modell für eine "heiße" Subduktionsinitiation nahe einer mittelozeanischen Ridge an der asiatischen Marge wird vorgeschlagen. Relikte mittelozeanischer Ridge-Basalte und nachfolgende supra-Subduktionszonen-Basalte bildeten die YZSZ-Ophiolithe während ~130-120 Ma

An Improved Stability Criterion for Discrete-Time Linear Systems With Two Additive Time-Varying Delays

In this paper, the stability analysis problem for discrete-time linear systems with additive time-varying delays is further investigated. In the first place, an augmented Lyapunov-Krasovskii functional (LKF) based on delay interval decomposition is designed, where some augmented vectors are selected to supplement the coupling relationships between some system state variables and different delay subintervals. In the second place, based on the augmented LKF, a new delay-dependent stability criterion is derived vai a general summation inequality lemma. The stability criterion is derived in the form of linear matrix inequality (LMI), which can be solved quickly by Matlab LMI-Tool. In the end, the effectiveness of the proposed method is illustrated by some common numerical examples

Enhanced Stability Criteria of Network-Based Load Frequency Control of Power Systems with Time-Varying Delays

The stability problem for load frequency control (LFC) of power systems with two time-varying communication delays is studied in this paper. The one-area and two-area LFC systems are considered, respectively, which are modeled as corresponding linear systems with additive time-varying delays. An improved stability criterion is proposed via a modified Lyapunov-Krasovskii functional (LKF) approach. Firstly, an augmented LKF consisting of delay-dependent matrices and some single-integral items containing time-varying delay information in two different delay subintervals is constructed, which makes full use of the coupling information between the system states and time-varying delays. Secondly, the novel negative definite inequality equivalent transformation lemma is used to transform the nonlinear inequality to the linear matrix inequality (LMI) equivalently, which can be easily solved by the MATLAB LMI-Toolbox. Finally, some numerical examples are presented to show the improvement of the proposed approach

Effects of splice sites on the intron retention in histamine H-3 receptors from rats and mice

In the alternative splicing, intron retention, of histamine H-3 receptors in rats and mice, the short transcript isoforms that are excised alternatively spliced introns are easily detected in a very low level in rats and arc undetectable in mice using the regular PCR protocol. The retained introns have common 5' splice site and different 3' splice sites. The detailed mechanism for the special alternative splicing remains largely unclear. In this study, we developed a minigene splicing system to recapitulate natural alternative splicing of the receptors and investigated the effects of 5' and 3' splice sites on intron retention in HeLa cells. Mutating weak 5' and 3' splice sites of the alternatively spliced introns toward the canonical consensus sequences promoted the splicing of the corresponding introns in rat and mouse minigenes. The effect of splice site strength was context-dependent and much more significant for the 3' splice site of the longer alternative intron than for the 3' splice site of the shorter alternative intron and the common 5' splice sites; it was also more significant in the rat minigene than in the mouse minigene. Mutating the 3' splice site of the longer alternative intron resulted in almost complete splicing of the intron and made the corresponding isoform to become the nearly exclusive transcript in the rat minigene

Adaptive active fault-tolerant MPPT control of variable-speed wind turbine considering generator actuator failure

In order to ensure that the wind power system (WPS) can realize maximum power point tracking (MPPT) under generator side fault, an MPPT control system with adaptive active fault tolerance capability is proposed in this paper. The basic idea of the proposed control strategy is that a perturbation term containing model uncertainties, system nonlinearities and unknown disturbances (generator actuator failure and disturbance torque) is estimated in real-time by a designed observer. The estimated perturbation is used for the compensation of actual perturbation. Then, an adaptive feedback linearizing control of variable-speed wind turbine (VSWT) system can be realized. Therefore, the control strategy neither requires detailed system model and full state measurements, nor relies on fault detection, diagnosis and isolation techniques when the generator actuator fails. Simulation results show that the proposed control scheme has smaller tracking error and better dynamic performance than the traditional PI control and MPPT control, and higher robustness against system parameter uncertainties, disturbance torque and generator actuator failure than the nonlinear static state feedback based MPPT (NSSF-MPPT) control, traditional PI control and MPPT control