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Control, Optimization, and Mathematical Modeling of Complex Systems
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Complex systems have long been an integral part of modern life and can be encountered everywhere. Undertaking a comprehensive study of such systems is a challenging problem, one which is impossible to solve without the use of contemporary mathematical modeling techniques. Mathematical models form the basis for the optimal design and control of complex systems. The present reprint contains all the articles accepted and published in the Special Issue of Mathematics entitled "Control, Optimization, and Mathematical Modeling of Complex Systems". This Special Issue is focused on recent theoretical and computational studies of complex systems modeling, control, and optimization. The topics addressed in this Special Issue cover a wide range of areas, including numerical simulation in physical, social, and life sciences; the modeling and analysis of complex systems based on mathematical methods and AI/ML approaches; control problems in robotics; design optimization of complex systems, modeling in economics and social sciences; stochastic models in physics and engineering; mathematical models in material science; and high-performance computing for mathematical modeling. It is our hope that the scientific results presented in this reprint will serve as valuable sources of documentation and inspiration to those seeking to delve into complex systems modeling, control, and optimization and examine their wide-ranging applications.
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Keywords
- adaptive control
- adaptive interpolation algorithm
- air–sea fluxes
- asymptotic efficiency
- complex system
- computational fluid dynamics
- Computer networks
- Computer science
- Computing & information technology
- continuous-time Markov chains
- continuum mechanisms
- controllability
- convexity evaluation
- data synthesis
- DC–DC boost converter
- deep learning
- deep LSTM
- discrete state space
- discrete velocity method
- dynamical tracking target
- Economics, finance, business & management
- equilibrium point
- ergodicity bounds
- estimation
- evolution operator
- evolutionary algorithm
- Evolutionary computation
- feature selection
- finite normal mixtures
- Forecasting
- fractional-order virus models
- Fuel cell
- Function approximation
- GE-evolution operator
- GE-semigroup
- general synthesis problem
- global optimization
- hierarchical basis
- high dimensions
- image segmentation
- impact of the COVID-19
- implicit function
- Industry & industrial studies
- Information technology industries
- Interval analysis
- interval ordinary differential equations (ODEs)
- kinematic model of soft robots
- Lagrange multipliers
- Lattice Boltzmann method
- logarithmic norm
- logistics businesses
- Lyapunov analysis
- Lyapunov stability
- Lyapunov-type problems
- machine learning control
- mathematical modeling
- mathematical modeling of complex systems
- mathematical modelling
- Media, information & communication industries
- minimax techniques
- Model Predictive Control
- modeling of complex systems
- modelling in economics
- modular robots
- molecular dynamics modeling
- moving separation of mixtures
- MPC
- multidimensional interpolation
- n/a
- neural network architectures
- non-linear models
- Numerical Computing
- observability
- Optimal Control
- optimal control problem
- origami structures
- overestimators
- Pareto optimization
- PEM
- PEMFC
- performance indicator
- Pontryagin’s maximum principle
- power electronic converter
- probability density functions
- proton electrolyte membrane
- proton exchange membrane
- randomized maximum entropy estimation
- rate of convergence
- Regression analysis
- relative curvature
- Remote sensing
- robotics applications
- rotation of vector field
- self-scalable robots
- semigroup
- ship towing system
- soft robotic neck
- soft robotics
- sparse grids
- statistical uncertainty
- stochastic GE-evolution operator
- stochastic linear systems in finite and infinite dimensional spaces
- stochastic singular linear systems in finite and infinite dimensional spaces
- structure change
- stuxnet virus
- supervisory control and data acquisition systems
- symbolic regression
- synergistic effect
- tendon-driven actuators
- terrain identification
- thema EDItEUR::U Computing and Information Technology::UY Computer science
- thermokarst lakes
- transfer learning
- turbulent plasma
- underestimators