H/H fault detection observer design for fractional-order singular systems in finite frequency domains.

This paper investigates the robust fault detection observer design problem in finite frequency domains for fractional-order singular systems. An H/H fault detection observer for fractional-order singular systems is designed to meet the system admissibility, disturbance robustness and fault sensitivity indices in finite frequency domains simultaneously. Four theorems and four corollaries about the system admissibility and the performance index H/H in different frequency ranges are given, and then the sufficient conditions are obtained in terms of linear matrix inequalities.

Plasma thymidylate synthase and dihydrofolate reductase mRNA levels as potential predictive biomarkers of pemetrexed sensitivity in patients with advanced non-small cell lung cancer.

Background: High levels of thymidylate synthase (TS) and dihydrofolate reductase (DHFR) expression in tumour tissues are an indicator of ineffective responses to pemetrexed-based chemotherapy in various tumours, including non-small cell lung cancer (NSCLC). However, tumour tissues are highly heterogeneous, so a single biopsy may not reflect genetic alterations during disease progression. This study investigated the potential use of plasma TS and DHFR mRNA levels as biomarkers for predicting sensitivity to pemetrexed-based chemotherapy.

H control for singular fractional-order interval systems: The 0<α<1 case.

This paper investigates the H control problems of singular fractional-order interval systems with commensurate order 0<α<1. Firstly, novel conditions for the bounded real lemma in the sense of H norm for nominal singular fractional-order systems are proposed, based on which the sufficient conditions for checking the admissibility and H performance of singular fractional-order interval systems are derived. Secondly, the state feedback H controller synthesis for singular fractional-order interval systems is addressed and the state feedback controller is designed.

New Criteria on Finite-Time Stability of Fractional-Order Hopfield Neural Networks With Time Delays.

In this article, the finite-time stability (FTS) of fractional-order Hopfield neural networks with time delays (FHNNTDs) is studied. A widely used inequality in investigating the stability of the fractional-order neural networks is fractional-order Gronwall inequality related to the Mittag-Leffler function, which cannot be directly used to study the stability of the factional-order neural networks with time delays. In the existing works related to fractional-order Gronwall inequality with time delays, the order was divided into two cases: λ ∈ (0,0.

Observer-based H(infinity) control for networked nonlinear systems with random packet losses.

This paper investigates the observer-based H(infinity) control problem of networked nonlinear systems with global Lipschitz nonlinearities and random communication packet losses. The random packet loss is modelled as a Bernoulli distributed white sequence with a known conditional probability distribution. In the presence of random packet losses, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop networked nonlinear system is exponentially stable in the mean-square sense, and a prescribed H(infinity) disturbance-rejection-attenuation performance is also achieved.