Network analysis of complex biological systems : boundedness of weakly reversible chemical reaction networks and conditions for synchronisation of coupled oscillators

Imperial Users onl

Time-Delay Systems

Time delay is very often encountered in various technical systems, such as electric, pneumatic and hydraulic networks, chemical processes, long transmission lines, robotics, etc. The existence of pure time lag, regardless if it is present in the control or/and the state, may cause undesirable system transient response, or even instability. Consequently, the problem of controllability, observability, robustness, optimization, adaptive control, pole placement and particularly stability and robustness stabilization for this class of systems, has been one of the main interests for many scientists and researchers during the last five decades

Small-Signal Stability Analysis for Droop-Controlled Inverter-based Microgrids with Losses and Filtering

An islanded microgrid supplied by multiple distributed energy resources (DERs) often employs droop-control mechanisms for power sharing. Because microgrids do not include inertial elements, and low pass filtering of noisy measurements introduces lags in control, droop-like controllers may pose significant stability concerns. This paper aims to understand the effects of droop-control on the small-signal stability and transient response of the microgrid. Towards this goal, we present a compendium of results on the small-signal stability of droop-controlled inverter-based microgrids with heterogeneous loads, which distinguishes: (1) lossless vs. lossy networks; (2) droop mechanisms with and without filters, and (3) mesh vs. radial network topologies. Small-signal and transient characteristics are also studied using multiple simulation studies on IEEE test system

Characterization of ictal/non-ictal EEG patterns and Neuronal Networks in Childhood Absence Epilepsy

Childhood absence epilepsy (CAE) is one of the most common pediatric epilepsy syndromes found in children. It is associated with distinct seizure semiology and clear electroencephalographic (EEG) features. In CAE patients, differentiating EEG ictal and non-ictal generalised spikes and waves discharges (GSWDs) is however difficult, since these events have an identical appearance. The differentiation of these two events is very important in a clinical setting as it has a direct effect on diagnosis and management strategies of patients. This study focuses on differentiating ictal and non-ictal discharges at sensor and source level using only surface EEG. Twelve CAE patients having both ictal and non-ictal discharges were selected for this study. For all levels of analysis, frequency ranges of 1-30 Hz containing four important frequency bands (delta, theta, alpha and beta) were used. At sensor level, spectral analysis and functional connectivity (FC) based on imaginary part of coherency, were used to evaluate the spectral changes and channel connectivity at the surface, respectively. At source level, the onset zone for ictal and non-ictal discharges were reconstructed using the eLORETA algorithm, and FC was used again to analyse the neuronal networks. Furthermore, we gave a detailed mathematical background of the EEG, forward and inverse problem, along with the mathematical foundation for the eLORETA algorithm. Additionally, for the first time we prove the correctness of the eLORETA algorithm based on the correct regularization problem. At sensor level, ictal discharges showed significantly higher power compared to non-ictal discharges, followed by FC depicting a desynchronization of channel connections (weaker connectivity) for ictal discharges. At source level, a fascinating observation was that ictal and non-ictal discharges have the same source or onset zone in the brain. However, ictal discharges had a stronger source power compared to non-ictal discharges. FC at source level revealed that the connectivity between certain brain regions and the seeds of interest (source maximum and thalamus) was stronger for ictal discharges, compared to non-ictal discharges. This study clearly shows the significant differences between ictal and non-ictal discharges at sensor and source level using only surface EEG. This study would be a great interest to clinicians, since it could be the potential foundation for future diagnostics research for CAE patients

Systems Structure and Control

The title of the book System, Structure and Control encompasses broad field of theory and applications of many different control approaches applied on different classes of dynamic systems. Output and state feedback control include among others robust control, optimal control or intelligent control methods such as fuzzy or neural network approach, dynamic systems are e.g. linear or nonlinear with or without time delay, fixed or uncertain, onedimensional or multidimensional. The applications cover all branches of human activities including any kind of industry, economics, biology, social sciences etc