Nonlinear Systems
Open Mathematics is a challenging notion for theoretical modeling, technical analysis, and numerical simulation in physics and mathematics, as well as in many other fields. It involves highly correlated nonlinear phenomena that evolve over a large range of time scales and length scales and control t...
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| Ձևաչափ: | Online |
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| Լեզու: | անգլերեն |
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MDPI - Multidisciplinary Digital Publishing Institute
2025
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| Առցանց հասանելիություն: | ONIX_20250812T110751_9783725843114_426 |
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Չկան պիտակներ, Եղեք առաջինը, ով նշում է այս գրառումը!
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| _version_ | 1869515842948956160 |
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| collection | Directory of Open Access Books |
| description | Open Mathematics is a challenging notion for theoretical modeling, technical analysis, and numerical simulation in physics and mathematics, as well as in many other fields. It involves highly correlated nonlinear phenomena that evolve over a large range of time scales and length scales and control the underlying systems and processes in their spatiotemporal evolution. Indeed, the available data, be they physical, biological, or financial, as well as technologically complex systems and stochastic systems including mechanical or electronic devices, can be managed from the same conceptual approach, both analytically and through computer simulation, using effective nonlinear dynamics methods. The aim of this Special Issue is to highlight papers that demonstrate the dynamics, control, optimization, and applications of nonlinear systems. This has recently become an increasingly popular subject, with impressive growth concerning applications in engineering, economics, biology, and medicine; therefore, this Special Issue can be considered a veritable contribution to the literature. Potential topics include, but are not limited to, the following: the stability analysis of discrete and continuous dynamical systems; nonlinear dynamics in biological complex systems; the stability and stabilization of stochastic systems; mathematical models in statistics and probability; the synchronization of oscillators and chaotic systems; optimization methods for complex systems; reliability modeling and system optimization; computation and control over networked systems. |
| format | Online |
| id | doab-20.500.12854ir-165671 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1656712025-08-12T10:05:36Z Nonlinear Systems Zhu, Quanxin risk-sensitive control controlled switching diffusions HJB equation computer virus SLBRS optimal control Pontryagin principle simulation generalized Halanay inequalities dissipativity asymptotic behavior recurrent neural networks reaction–diffusion Lyapunov–Krasovskii functional switched epidemic systems impulsive control model-free adaptive control fractional-order pseudo-partial derivative discrete-time system multiple imputation correlated data data integration coefficient uncertainty lyapunov-krasovskii function LMI coupled neural networks stochastic distributed delayed impulses synchronization Markov property unknown control direction adaptive fuzzy control dead zone and saturation command filter SEIRM standard incidence rate dynamic behavior extinction stationary distribution non-homogeneous hidden semi-Markov jump systems stochastic finite-time boundedness emission probabilities propagation direction bistable wave lattice system nonlinear networked cascade control system attacks-dependent adaptive event-triggered mechanism dynamic quantization deception attacks non-monotonic technology adaptive radius trust region algorithm interval type-2 fuzzy systems (IT2FSs) adaptive fault-tolerant control mixed \({\mathcal{H}_{\infty}$ and $L_{2}-L_{\infty}}\) performance tracking control thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Open Mathematics is a challenging notion for theoretical modeling, technical analysis, and numerical simulation in physics and mathematics, as well as in many other fields. It involves highly correlated nonlinear phenomena that evolve over a large range of time scales and length scales and control the underlying systems and processes in their spatiotemporal evolution. Indeed, the available data, be they physical, biological, or financial, as well as technologically complex systems and stochastic systems including mechanical or electronic devices, can be managed from the same conceptual approach, both analytically and through computer simulation, using effective nonlinear dynamics methods. The aim of this Special Issue is to highlight papers that demonstrate the dynamics, control, optimization, and applications of nonlinear systems. This has recently become an increasingly popular subject, with impressive growth concerning applications in engineering, economics, biology, and medicine; therefore, this Special Issue can be considered a veritable contribution to the literature. Potential topics include, but are not limited to, the following: the stability analysis of discrete and continuous dynamical systems; nonlinear dynamics in biological complex systems; the stability and stabilization of stochastic systems; mathematical models in statistics and probability; the synchronization of oscillators and chaotic systems; optimization methods for complex systems; reliability modeling and system optimization; computation and control over networked systems. 2025-08-12T10:05:34Z 2025-08-12T10:05:34Z 2025 book ONIX_20250812T110751_9783725843114_426 9783725843114 9783725843121 https://directory.doabooks.org/handle/20.500.12854/165671 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/11022 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-4312-1 10.3390/books978-3-7258-4312-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725843114 9783725843121 270 open access |
| spellingShingle | risk-sensitive control controlled switching diffusions HJB equation computer virus SLBRS optimal control Pontryagin principle simulation generalized Halanay inequalities dissipativity asymptotic behavior recurrent neural networks reaction–diffusion Lyapunov–Krasovskii functional switched epidemic systems impulsive control model-free adaptive control fractional-order pseudo-partial derivative discrete-time system multiple imputation correlated data data integration coefficient uncertainty lyapunov-krasovskii function LMI coupled neural networks stochastic distributed delayed impulses synchronization Markov property unknown control direction adaptive fuzzy control dead zone and saturation command filter SEIRM standard incidence rate dynamic behavior extinction stationary distribution non-homogeneous hidden semi-Markov jump systems stochastic finite-time boundedness emission probabilities propagation direction bistable wave lattice system nonlinear networked cascade control system attacks-dependent adaptive event-triggered mechanism dynamic quantization deception attacks non-monotonic technology adaptive radius trust region algorithm interval type-2 fuzzy systems (IT2FSs) adaptive fault-tolerant control mixed \({\mathcal{H}_{\infty}$ and $L_{2}-L_{\infty}}\) performance tracking control thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Nonlinear Systems |
| title | Nonlinear Systems |
| title_full | Nonlinear Systems |
| title_fullStr | Nonlinear Systems |
| title_full_unstemmed | Nonlinear Systems |
| title_short | Nonlinear Systems |
| title_sort | nonlinear systems |
| topic | risk-sensitive control controlled switching diffusions HJB equation computer virus SLBRS optimal control Pontryagin principle simulation generalized Halanay inequalities dissipativity asymptotic behavior recurrent neural networks reaction–diffusion Lyapunov–Krasovskii functional switched epidemic systems impulsive control model-free adaptive control fractional-order pseudo-partial derivative discrete-time system multiple imputation correlated data data integration coefficient uncertainty lyapunov-krasovskii function LMI coupled neural networks stochastic distributed delayed impulses synchronization Markov property unknown control direction adaptive fuzzy control dead zone and saturation command filter SEIRM standard incidence rate dynamic behavior extinction stationary distribution non-homogeneous hidden semi-Markov jump systems stochastic finite-time boundedness emission probabilities propagation direction bistable wave lattice system nonlinear networked cascade control system attacks-dependent adaptive event-triggered mechanism dynamic quantization deception attacks non-monotonic technology adaptive radius trust region algorithm interval type-2 fuzzy systems (IT2FSs) adaptive fault-tolerant control mixed \({\mathcal{H}_{\infty}$ and $L_{2}-L_{\infty}}\) performance tracking control thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | risk-sensitive control controlled switching diffusions HJB equation computer virus SLBRS optimal control Pontryagin principle simulation generalized Halanay inequalities dissipativity asymptotic behavior recurrent neural networks reaction–diffusion Lyapunov–Krasovskii functional switched epidemic systems impulsive control model-free adaptive control fractional-order pseudo-partial derivative discrete-time system multiple imputation correlated data data integration coefficient uncertainty lyapunov-krasovskii function LMI coupled neural networks stochastic distributed delayed impulses synchronization Markov property unknown control direction adaptive fuzzy control dead zone and saturation command filter SEIRM standard incidence rate dynamic behavior extinction stationary distribution non-homogeneous hidden semi-Markov jump systems stochastic finite-time boundedness emission probabilities propagation direction bistable wave lattice system nonlinear networked cascade control system attacks-dependent adaptive event-triggered mechanism dynamic quantization deception attacks non-monotonic technology adaptive radius trust region algorithm interval type-2 fuzzy systems (IT2FSs) adaptive fault-tolerant control mixed \({\mathcal{H}_{\infty}$ and $L_{2}-L_{\infty}}\) performance tracking control thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20250812T110751_9783725843114_426 |