1. The book is a pioneer work in this field, a new view concerning the old things that seem to be known for all power systems and control specialists: algorithms related to control parameters and operation estimation, detection, classification, resolution, and utilization. 2. The work contains a new algebraic approach to economic dispatch exploiting as an algebraic system for power operations realized. 3. The monograph contains a solution to large-scale power control problems, namely the increasing development of methods and algorithms of the processing in the control method of the power system that provides increasing (a) Operation efficiency under different uncertainty conditions; (b) system stability rate.; (2) further development of mathematical fundamentals of power system networks. 4. For the first time, the traditional method considers the fundamentals of power system control and operation. Developed algorithms cover many possible applications and known classic optimal algorithms related to the algorithms. 5. All obtained results are new, original, and unknown to English-speaking audiences and verified by the MATLAB program.

Complex dynamical networks are ubiquitous in many fields of science from engineering to biology, physics, and sociology. Collective behavior, and in particular synchronization, is one of the most interesting consequences of interaction of dynamical systems over complex networks. Analyzing statistical and dynamical properties of complex networks may lead us to understand them deeper. This book discuses the problem of synchronizability in dynamical networks and gives some possible interpretations of that. Various methods for enhancing the synchronizability of dynamical networks through link weighting or rewiring is addressed. The book also studies the synchronization phenomenon in networks of model neurons and gives a simple model for investigating the behavior of interacting locally synchronized gamma oscillations. In the last section of the book the interdependencies within the time series obtained through electroencephalography is studied. Proper synchronization measures are introduced electroencephalography-specific maps for patients suffering from schizophrenia or Alzheimer's disease are obtained.