Control, Optimization, and Mathematical Modeling of Complex Systems
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 th...
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| Format: | Online |
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| Sprache: | Englisch |
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MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Online-Zugang: | ONIX_20230714_9783036576404_108 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-101409 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1014092024-03-30T12:51:27Z Control, Optimization, and Mathematical Modeling of Complex Systems Posypkin, Mikhail Gorshenin, Andrey Titarev, Vladimir optimal control problem evolutionary computation robotics applications optimal control Lyapunov stability equilibrium point symbolic regression Pontryagin’s maximum principle continuous-time Markov chains ergodicity bounds discrete state space rate of convergence logarithmic norm interval analysis function approximation global optimization convexity evaluation overestimators underestimators machine learning control general synthesis problem evolutionary algorithm adaptive interpolation algorithm interval ordinary differential equations (ODEs) sparse grids hierarchical basis multidimensional interpolation high dimensions molecular dynamics modeling randomized maximum entropy estimation probability density functions Lagrange multipliers Lyapunov-type problems implicit function rotation of vector field asymptotic efficiency thermokarst lakes forecasting dynamical tracking target ship towing system relative curvature adaptive control discrete velocity method lattice Boltzmann method computational fluid dynamics mathematical modeling estimation minimax techniques pareto optimization regression analysis statistical uncertainty proton exchange membrane proton electrolyte membrane PEM fuel cell PEMFC power electronic converter DC–DC boost converter model predictive control MPC self-scalable robots modular robots origami structures complex system synergistic effect performance indicator structure change soft robotics continuum mechanisms modeling of complex systems kinematic model of soft robots mathematical modeling of complex systems non-linear models soft robotic neck tendon-driven actuators mathematical modelling modelling in economics impact of the COVID-19 logistics businesses fractional-order virus models stuxnet virus numerical computing supervisory control and data acquisition systems computer networks lyapunov analysis image segmentation remote sensing terrain identification data synthesis transfer learning controllability observability stochastic linear systems in finite and infinite dimensional spaces stochastic singular linear systems in finite and infinite dimensional spaces semigroup evolution operator GE-semigroup GE-evolution operator stochastic GE-evolution operator feature selection finite normal mixtures moving separation of mixtures deep LSTM neural network architectures deep learning turbulent plasma air–sea fluxes n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science 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. 2023-07-14T14:30:41Z 2023-07-14T14:30:41Z 2023 book ONIX_20230714_9783036576404_108 9783036576404 9783036576411 https://directory.doabooks.org/handle/20.500.12854/101409 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/7506 https://mdpi.com/books/pdfview/book/7506 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-7641-1 10.3390/books978-3-0365-7641-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036576404 9783036576411 438 Basel open access |
| spellingShingle | optimal control problem evolutionary computation robotics applications optimal control Lyapunov stability equilibrium point symbolic regression Pontryagin’s maximum principle continuous-time Markov chains ergodicity bounds discrete state space rate of convergence logarithmic norm interval analysis function approximation global optimization convexity evaluation overestimators underestimators machine learning control general synthesis problem evolutionary algorithm adaptive interpolation algorithm interval ordinary differential equations (ODEs) sparse grids hierarchical basis multidimensional interpolation high dimensions molecular dynamics modeling randomized maximum entropy estimation probability density functions Lagrange multipliers Lyapunov-type problems implicit function rotation of vector field asymptotic efficiency thermokarst lakes forecasting dynamical tracking target ship towing system relative curvature adaptive control discrete velocity method lattice Boltzmann method computational fluid dynamics mathematical modeling estimation minimax techniques pareto optimization regression analysis statistical uncertainty proton exchange membrane proton electrolyte membrane PEM fuel cell PEMFC power electronic converter DC–DC boost converter model predictive control MPC self-scalable robots modular robots origami structures complex system synergistic effect performance indicator structure change soft robotics continuum mechanisms modeling of complex systems kinematic model of soft robots mathematical modeling of complex systems non-linear models soft robotic neck tendon-driven actuators mathematical modelling modelling in economics impact of the COVID-19 logistics businesses fractional-order virus models stuxnet virus numerical computing supervisory control and data acquisition systems computer networks lyapunov analysis image segmentation remote sensing terrain identification data synthesis transfer learning controllability observability stochastic linear systems in finite and infinite dimensional spaces stochastic singular linear systems in finite and infinite dimensional spaces semigroup evolution operator GE-semigroup GE-evolution operator stochastic GE-evolution operator feature selection finite normal mixtures moving separation of mixtures deep LSTM neural network architectures deep learning turbulent plasma air–sea fluxes n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science Control, Optimization, and Mathematical Modeling of Complex Systems |
| title | Control, Optimization, and Mathematical Modeling of Complex Systems |
| title_full | Control, Optimization, and Mathematical Modeling of Complex Systems |
| title_fullStr | Control, Optimization, and Mathematical Modeling of Complex Systems |
| title_full_unstemmed | Control, Optimization, and Mathematical Modeling of Complex Systems |
| title_short | Control, Optimization, and Mathematical Modeling of Complex Systems |
| title_sort | control optimization and mathematical modeling of complex systems |
| topic | optimal control problem evolutionary computation robotics applications optimal control Lyapunov stability equilibrium point symbolic regression Pontryagin’s maximum principle continuous-time Markov chains ergodicity bounds discrete state space rate of convergence logarithmic norm interval analysis function approximation global optimization convexity evaluation overestimators underestimators machine learning control general synthesis problem evolutionary algorithm adaptive interpolation algorithm interval ordinary differential equations (ODEs) sparse grids hierarchical basis multidimensional interpolation high dimensions molecular dynamics modeling randomized maximum entropy estimation probability density functions Lagrange multipliers Lyapunov-type problems implicit function rotation of vector field asymptotic efficiency thermokarst lakes forecasting dynamical tracking target ship towing system relative curvature adaptive control discrete velocity method lattice Boltzmann method computational fluid dynamics mathematical modeling estimation minimax techniques pareto optimization regression analysis statistical uncertainty proton exchange membrane proton electrolyte membrane PEM fuel cell PEMFC power electronic converter DC–DC boost converter model predictive control MPC self-scalable robots modular robots origami structures complex system synergistic effect performance indicator structure change soft robotics continuum mechanisms modeling of complex systems kinematic model of soft robots mathematical modeling of complex systems non-linear models soft robotic neck tendon-driven actuators mathematical modelling modelling in economics impact of the COVID-19 logistics businesses fractional-order virus models stuxnet virus numerical computing supervisory control and data acquisition systems computer networks lyapunov analysis image segmentation remote sensing terrain identification data synthesis transfer learning controllability observability stochastic linear systems in finite and infinite dimensional spaces stochastic singular linear systems in finite and infinite dimensional spaces semigroup evolution operator GE-semigroup GE-evolution operator stochastic GE-evolution operator feature selection finite normal mixtures moving separation of mixtures deep LSTM neural network architectures deep learning turbulent plasma air–sea fluxes n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science |
| topic_facet | optimal control problem evolutionary computation robotics applications optimal control Lyapunov stability equilibrium point symbolic regression Pontryagin’s maximum principle continuous-time Markov chains ergodicity bounds discrete state space rate of convergence logarithmic norm interval analysis function approximation global optimization convexity evaluation overestimators underestimators machine learning control general synthesis problem evolutionary algorithm adaptive interpolation algorithm interval ordinary differential equations (ODEs) sparse grids hierarchical basis multidimensional interpolation high dimensions molecular dynamics modeling randomized maximum entropy estimation probability density functions Lagrange multipliers Lyapunov-type problems implicit function rotation of vector field asymptotic efficiency thermokarst lakes forecasting dynamical tracking target ship towing system relative curvature adaptive control discrete velocity method lattice Boltzmann method computational fluid dynamics mathematical modeling estimation minimax techniques pareto optimization regression analysis statistical uncertainty proton exchange membrane proton electrolyte membrane PEM fuel cell PEMFC power electronic converter DC–DC boost converter model predictive control MPC self-scalable robots modular robots origami structures complex system synergistic effect performance indicator structure change soft robotics continuum mechanisms modeling of complex systems kinematic model of soft robots mathematical modeling of complex systems non-linear models soft robotic neck tendon-driven actuators mathematical modelling modelling in economics impact of the COVID-19 logistics businesses fractional-order virus models stuxnet virus numerical computing supervisory control and data acquisition systems computer networks lyapunov analysis image segmentation remote sensing terrain identification data synthesis transfer learning controllability observability stochastic linear systems in finite and infinite dimensional spaces stochastic singular linear systems in finite and infinite dimensional spaces semigroup evolution operator GE-semigroup GE-evolution operator stochastic GE-evolution operator feature selection finite normal mixtures moving separation of mixtures deep LSTM neural network architectures deep learning turbulent plasma air–sea fluxes n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science |
| url | ONIX_20230714_9783036576404_108 |