Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
USSR Computational Mathematics and Mathematical Physics
Optimal strategies for the control of a train
Automatica (Journal of IFAC)
Journal of Computational and Applied Mathematics
Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory
Applied Mathematics and Computation
Mathematics and Computers in Simulation
Optimization of complex powertrain systems for fuel economy and emissions
Nonlinear Analysis: Real World Applications
Discrete models of coupled dynamic thermoelasticity for stress-temperature formulations
Applied Mathematics and Computation
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Numerical analysis of dynamic characteristics of coupled piezoelectric systems in acoustic media
Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics
Optimal-by-accuracy and optimal-by-order cubature formulae in interpolational classes
Journal of Computational and Applied Mathematics
Future Generation Computer Systems - Special issue: Selected papers from the workshop on education in computational sciences held at the ICCS 2002
Mixed electroelastic waves and CFL stability conditions in computational piezoelectricity
Applied Numerical Mathematics
Computational models for multi-scale coupled dynamic problems
Future Generation Computer Systems - Special issue: Selected numerical algorithms
Guest editorial: wave phenomena in physics and engineering: New models, algorithms, and applications
Mathematics and Computers in Simulation - Special issue: Wave phenomena in physics and engineering: New models, algorithms, and appications
Quantum confinement phenomena in nanowire superlattice structures
Mathematics and Computers in Simulation - Special issue: Wave phenomena in physics and engineering: New models, algorithms, and appications
Mathematics and Computers in Simulation - Special issue: Wave phenomena in physics and engineering: New models, algorithms, and appications
Towards human-centred design: Two case studies
Journal of Systems and Software
Artificial Intelligence in Medicine
Similarity-based analysis for large networks of ultra-low resolution sensors
Pattern Recognition
Effect of internal viscosity on Brownian dynamics of DNA molecules in shear flow
Computational Biology and Chemistry
Applied Numerical Mathematics
Coupled effects in quantum dot nanostructures with nonlinear strain and bridging modelling scales
Computers and Structures
Finite element approach to modelling evolution of 3D shape memory materials
Mathematics and Computers in Simulation
Simulation of phase combinations in shape memory alloys patches by hybrid optimization methods
Applied Numerical Mathematics
Finite element analysis of nanowire superlattice structures
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartII
Computational aspects of conservative difference schemes for shape memory alloys applications
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartII
A dynamic model for phase transformations in 3d samples of shape memory alloys
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part III
Modelling dynamics of genetic networks as a multiscale process
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part III
Simulation of nonlinear thermomechanical waves with an empirical low dimensional model
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
Numerical simulation of phase transformations in shape memory alloy thin films
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Designing human-centered automation: trade-offs in collision avoidance system design
IEEE Transactions on Intelligent Transportation Systems
SmartAHS: A simulation framework for automated vehicles and highway systems
Mathematical and Computer Modelling: An International Journal
Robust platoon-stable controller design for autonomous intelligent vehicles
Mathematical and Computer Modelling: An International Journal
MATH'09 Proceedings of the 14th WSEAS International Conference on Applied mathematics
EvoCOMNET'10 Proceedings of the 2010 international conference on Applications of Evolutionary Computation - Volume Part II
Human factors modeling schemes for pilot-aircraft system: a complex system approach
EPCE'13 Proceedings of the 10th international conference on Engineering Psychology and Cognitive Ergonomics: applications and services - Volume Part II
Discovering driving strategies with a multiobjective optimization algorithm
Applied Soft Computing
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It is known that with the increasing complexity of technological systems that operate in dynamically changing environments and require human supervision or a human operator, the relative share of human errors is increasing across all modern applications. This indicates that in the analysis and control of such systems, human factors should not be eliminated by conventional formal mathematical methodologies. Instead, they must be incorporated into the modelling framework. In this paper we analyse mathematically how such factors can be effectively incorporated into the analysis and control of complex systems. As an example, we focus our discussion around one of the key problems in the intelligent transportation systems (ITS) theory and practice, the problem of speed control, considered here as a decision making with limited information available. The problem is cast mathematically in the general framework of control problems and is treated in the context of dynamically changing environments where control is coupled to human factors. Since in this case control might not be limited to a small number of control settings, as it is often assumed in the control literature, serious difficulties arise in the solution of this problem. We demonstrate that the problem can be reduced to a set of Hamilton-Jacobi-Bellman equations where human factors are incorporated via estimations of the system Hamiltonian. In the ITS context, these estimations can be obtained with the use of on-board equipment like sensors/receivers/actuators, in-vehicle communication devices, etc. The proposed methodology provides a way to integrate human factors into the solving process of the models for other complex dynamic systems.