Analysis and Design of Singular Markovian Jump Systems

This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H? control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, among other techniques. Features of the book include: · study of the stability problem for SMJSs with general transition rate matrices (TRMs); · stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints; · mode-dependent and mode-independent H? control solutions with development of a type of disordered controller; · observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent; · consideration of robust H? filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering · development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corresponding closed-loop system states · applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course

Multi-epoch analysis of the X-ray spectrum of the active galactic nucleus in NGC 5506

We present a multi-epoch X-ray spectroscopy analysis of the nearby narrow-line Seyfert I galaxy NGC 5506. For the first time, spectra taken by Chandra, XMM-Newton, Suzaku, and NuSTAR - covering the 2000-2014 time span - are analyzed simultaneously, using state-of-the-art models to describe reprocessing of the primary continuum by optical thick matter in the AGN environment. The main goal of our study is determining the spin of the supermassive black hole (SMBH). The nuclear X-ray spectrum is photoelectrically absorbed by matter with column density $\simeq 3 \times 10^{22}$ cm$^{-2}$. A soft excess is present at energies lower than the photoelectric cut-off. Both photo-ionized and collisionally ionized components are required to fit it. This component is constant over the time-scales probed by our data. The spectrum at energies higher than 2 keV is variable. We propose that its evolution could be driven by flux-dependent changes in the geometry of the innermost regions of the accretion disk. The black hole spin in NGC 5506 is constrained to be 0.93$\pm _{ 0.04 }^{0.04}$ at 90% confidence level for one interesting parameter.Comment: 13 pages, 9 figures. v2: refereed versio

A distributed control law with guaranteed convergence rate for identically coupled linear systems

This paper investigates the stabilization and optimization problems for a group of identically linear agents with undirected interaction topology. It is shown that a distributed control law based on local measurements and relative information exchanged f

Cellulose-starch hybrid films plasticized by aqueous ZnCl2 solution

Starch and cellulose are two typical natural polymers from plants that have similar chemical structures. The blending of these two biopolymers for materials development is an interesting topic, although how their molecular interactions could influence the conformation and properties of the resultant materials has not been studied extensively. Herein, the rheological properties of cellulose/starch/ZnCl2 solutions were studied, and the structures and properties of cellulose-starch hybrid films were characterized. The rheological study shows that compared with starch (containing mostly amylose), cellulose contributed more to the solution’s viscosity and has a stronger shear-thinning behavior. A comparison between the experimental and calculated zero-shear-rate viscosities indicates that compact complexes (interfacial interactions) formed between cellulose and starch with ≤50 wt % cellulose content, whereas a loose structure (phase separation) existed with ≥70 wt % cellulose content. For starch-rich hybrid films prepared by compression molding, less than 7 wt % of cellulose was found to improve the mechanical properties despite the reduced crystallinity of the starch; for cellulose-rich hybrid films, a higher content of starch reduced the material properties, although the chemical interactions were not apparently influenced. It is concluded that the mechanical properties of biopolymer films were mainly affected by the structural conformation, as indicated by the rheological results. View Full-Tex

Effect of combination of Yiqi Jianpi Yangxue Decoction and chemotherapy on quality of life and adverse reactions of patients with recurrent ovarian cancer

Purpose: To investigate the effect of combined treatment with Yiqi Jianpi Yangxue Decoction and chemotherapy (carboplatin + paclitaxel) on quality of life (QOL) and adverse reactions of patients with recurrent ovarian cancer (ROC).Methods: One hundred and fourteen (114) ROC patients in The Second Children & Women’s Healthcare of Jinan City were split into chemotherapy group (n = 60) and combination group (n = 54), based on whether or not they were treated with Yiqi Jianpi Yangxue Decoction. Differences in clinical efficacy, adverse reactions, levels of tumor marker, levels of immune indexes, and scores on Karnofsky Performance Status (KPS) between the two groups were evaluated.Results: Treatment effectiveness was higher in the combination group than in the chemotherapy group (p < 0.05). Compared with the chemotherapy group, post-treatment levels of HE4 and CA125 in the combination group were lower, while the levels of CD3+, CD4+ and CD8+, and population of NK cells were higher (p < 0.05). After treatment, the KPS score in the combination group was higher than the corresponding score in the chemotherapy group (p < 0.05).Conclusion: Combination of Yiqi Jianpi Yangxue Decoction and chemotherapy (carboplatin + paclitaxel) produces significant enhancement of clinical efficacy in the treatment of ROC. The combination treatment is highly safe, and improves the health status and QOL of patients. Therefore, the combination treatment appears to be suitable for the management of ovarian cancer

Output Strictly Passive Control of Uncertain Singular Neutral Systems

This paper concerns the problem of output strictly passive control for uncertain singular neutral systems. It introduces a new effective criterion to study the passivity of singular neutral systems. Compared with the previous approach, this criterion has no equality constraints. And the state feedback controller is designed so that the uncertain singular neutral systems are output strictly passive. In terms of a linear matrix inequality (LMI) and Lyapunov function, the strictly passive criterion is formulated. And the desired passive controller is given. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed approach

Stabilization

As one of the most important control problem, the stabilization problem is to design a controller such that the closed-loop system will be stable and has some desired performances. Due to singular Markovian jump systems containing singular derivative matrix and Markov property simultaneously, they usually complicate the synthesis, especially the underlying SMJSs have some general conditions. In this chapter, we will focus on the stabilization problem of SMJSs. Some kinds of controllers such that the closed-loop system is regular, stable and impulse-free are designed. A robust stabilizing controller guaranteeing the closed-loop systems robustly stochastically admissible is designed in the LMI setting. When an TRM can be designed, the stabilization for SMJSs is also discussed. The other kinds of controllers realized by noise control, proportional-derivative (PD) control and partially mode-dependent (PMD) control are put forward. Such stabilizing controller designs are formulated in terms of LMIs or LMIs with equation constraints, which can be solved easily