Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model

This paper investigates the finite-region boundedness (FRB) and stabilization problems for two-dimensional continuous-discrete linear Roesser models subject to two kinds of disturbances. For two-dimensional continuous-discrete system, we first put forward the concepts of finite-region stability and FRB. Then, by establishing special recursive formulas, sufficient conditions of FRB for two-dimensional continuous-discrete systems with two kinds of disturbances are formulated. Furthermore, we analyze the finite-region stabilization issues for the corresponding two-dimensional continuous-discrete systems and give generic sufficient conditions and sufficient conditions that can be verified by linear matrix inequalities for designing the state feedback controllers which ensure the closed-loop systems FRB. Finally, viable experimental results are demonstrated by illustrative examples

A CRM1 Inhibitor Alleviates Cardiac Hypertrophy and Increases the Nuclear Distribution of NT-PGC-1α in NRVMs

Chromosomal maintenance 1 (CRM1) inhibitors display antihypertrophic effects and control protein trafficking between the nucleus and the cytoplasm. PGC-1α (peroxisome proliferator-activated receptor gamma coactivator-1alpha) is a type of transcriptional coactivator that predominantly resides in the nucleus and is downregulated during heart failure. NT-PGC-1α is an alternative splicing variant of PGC-1α that is primarily distributed in the cytoplasm. We hypothesized that the use of a CRM1 inhibitor could shuttle NT-PGC-1α into the nucleus and activate PGC-1α target genes to potentially improve cardiac function in a mouse model of myocardial infarction (MI). We showed that PGC-1α and NT-PGC-1α were decreased in MI-induced heart failure mice. Phenylephrine and angiotensin II were applied to induce hypertrophy in neonatal rat ventricular myocytes (NRVMs). The antihypertrophic effects of the CRM1-inhibitor Selinexor was verified through profiling the expression of β-MHC and through visualizing the cell cross-sectional area. NRVMs were transfected with adenovirus-NT-PGC-1α or adenovirus-NLS (nucleus localization sequence)-NT-PGC-1α and then exposed to Selinexor. Confocal microscopy was then used to observe the shuttling of NT-PGC-1α. After NT-PGC-1α was shuttled into the nucleus, there was increased expression of its related genes, including PPAR-α, Tfam, ERR-γ, CPT1b, PDK4, and Nrf2. The effects of Selinexor on post-MI C57BL/6j mice were determined by echocardiography and qPCR. We found that Selinexor showed antihypertrophic effects but did not influence the ejection fraction of MI-mice. Interestingly, the antihypertrophic effects of Selinexor might be independent of NT-PGC-1α transportation

Tight K

K-g-frame is a generalization of g-frame. We generalize the tight g-frame to K-g-frame via atomic systems. In this paper, the definition of tight K-g-frame is put forward; equivalent characterizations and necessary conditions of tight K-g-frame are given. In particular, the necessary and sufficient condition for tight K-g-frame being tight g-frame is obtained. Finally, by means of methods and techniques of frame theory, several properties of tight K-g-frame are given

Dissipative control of 2-D switched discrete system via dwell-time-dependent approach

This paper studies the dissipative control problem for two-dimensional (2-D) switched discrete-time linear system represented by Fornasini–Marchesini local state-space (FMLSS) model via dwell-time-dependent Lyapunov function (DTDLF) approach. Consider the definition of (Q, S, R)-α-dissipativity for 2-D switched discrete FMLSS model in triangular region and based on the DTDLF approach, we first give the linear matrix inequality (LMI)-based sufficient condition on asymptotic stability for the 2-D switched discrete FMLSS model and then propose the LMI-based sufficient condition which can guarantee the given 2-D switched system to be asymptotically stable and strictly (Q, S, R)-α-dissipative. Furthermore, the dwell-time-dependent dissipative state-feedback controller is designed, and the LMI-based sufficient condition for designing such controller is proposed. Besides, dwell-time-dependent passive state-feedback controller and dwell-time-dependent H∞ state-feedback controller could be derived as the special cases of dissipative control from the established result. Finally, illustrative examples are depicted to verify the efficiency and superiority of the proposed techniques

Event-triggered H∞ asynchronous control for 2-D switched system in FMLSS model

This paper investigates the event-triggered asynchronous control problem of a 2-D discrete-time switched system described by the FMLSS model with an average dwell time approach. Specifically, the sufficient condition for event-triggered stabilization of the 2-D asynchronously switched system and the sufficient condition for the event-triggered H∞ control of this system with a specified disturbance attenuation performance level are given, respectively. On this basis, sufficient conditions for the solvability of the corresponding event-triggered state feedback controllers are derived by using the linear matrix inequalities (LMIs) technique. Finally, two numerical examples are used to verify the validity of the proposed controller design approaches

DR-SISM: A dual reversible secret image sharing mechanism

Secret image sharing (SIS) technology has received wide attention from researchers due to its multi-party management of secret information. Traditional SIS algorithms usually convert secret information into the shares of noise-like images, which may attract the attention of hackers and cannot be effectively managed. Moreover, for communication scenario with multiple user participation, participants hope to embed additional data in their shares, while the secret image and the embedded additional information to be reversibly recovered. However, the embedding capacity, security, and authentication capability are limited in the existing SIS algorithms. Therefore, this paper proposes a dual reversible secret image sharing mechanism, called DR-SISM, which includes reversible hiding stage and reversible sharing stage. This proposed DR-SISM can simultaneously achieve the reversible recovery of secret image and additional data embedded. In the first stage, a reversible data hiding method is constructed that leverages the predictive technique of median edge detection to obtain the layered label map for capturing a higher embedding load and utilizes the bit-plane replacement technique to embed additional information. In the second stage, a novel (k,n) threshold reversible SIS strategy is presented by employing the Chinese remainder theorem (CRT), which can generate visually meaningful shares. The authentication bits produced by employing the hash function are embedded into the share, which are utilized to compare with the authentication bits owned by users for verifying the identities of the participants before the secret image reconstruction. Through the comparison of advanced SIS algorithms, our proposed DR-SISM in this article is preferred over the recent algorithms in respect of embedding capacity, security, and authentication capability