The fields of science and engineering are composed of complex systems and phenomena due to a series of inherent system attributes like strong nonlinearity, time-varying system parameters, stochastic behavior, chaotic behavior, etc. This book helps researchers and students to master the robost system modeling, simulation, and optimization of such complexly behaving systems requiring addressing particularly hard system-theoretical challenges. In addition, the book contributes to the new evolving systems' science consisting of systematically involving nonlinear oscillator models constructed by CNN processors for realizing core systems engineering processes for complex dynamic technical systems.
Overview of modelling, simulation, control and optimization: General scientific challenges of system Engineering. General attributes of ’complexly-behaving’ technical systems: Selected basic tasks to be performed in the frame of a comprehensive systems engineering of complex technical systems. Practical computational requirements and constraints for the Systems-Engineering of current and future Intelligent Transportation Systems: General scientific challenges and the different fronts where they appear. Core features of the basic methodological instruments for the new systems science: A comprehensive system-theoretical perspective involving the nonlinear oscillatory theory. A universal and robust concept (NAOP) for solving stiff, time varying and chaotic ordinary differential equations (ODEs) and partial differential equations (PDEs). On the Mathematical Modeling of Discrete Problems using Ordinary Differential Equations and Applications: Shortest Path (SP), Shortest Path tree (SPT), Shortest Path Spanning Tree (SPST), Minimum Spanning Tree (MST) and Travel Salesman Problem (TSP). A Universal and Robust Concept (NAOP) for Solving Optimization Problems in Dynamically Reconfigurable Graphs: Applications to Solving of Travel Salesman Problems with both Linear and/or Nonlinear Costs of Edges. A Flexible and Adaptive Concept for Robust visual traffic sensors and Applications in ITS: Equilibrium Points -Oscillatory States - Bifurcation Analyses. Application of Oscillatory Theory and Analog Computing for microscopic Road Traffic Analysis: Modelling, simulation and control. Macroscopic Road Traffic Flow Modelling, Simulation and Control Based on Coupled Nonlinear Partial Differential Equations. On the Analysis of Macroscopic Road Traffic Flow Using Oscillatory and Bifurcation Theories: Some Illustrative case studies in Transportation Engineering. Optimal Local Traffic Control at Isolated Junction Based on Coupled Nonlinear Oscillators: Case studies of practical interest in ITS. Modeling, Control and Optimization of a Network of Coupled Traffic Junctions Based on Coupled Nonlinear Oscillators. A Robust and Flexible Nonlinear Adaptive Optimization Concept (NAOP) for Time Series Modelling, Identification and Forecasting. Analog Computing and Application for Chaotic Synchronization in Communication engineering. A comprehensive summary of how the new systems science does give a satisfactory answer to the challenges related to systems' modelling, simulation, control and optimization in engineering.