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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, as highly correlated nonlinear phenomena, evolving over a large range of time scales and length scales, control the underlying systems and processes in their spatiotemporal evolution. Indeed, available data, be they physical, biological, or financial, and technologically complex systems and stochastic systems, such as 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 show 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, and can be considered a veritable contribution to the literature. Original papers relating to the objective presented above are especially welcome subjects. Potential topics include, but are not limited to: Stability analysis of discrete and continuous dynamical systems; Nonlinear dynamics in biological complex systems; Stability and stabilization of stochastic systems; Mathematical models in statistics and probability; Synchronization of oscillators and chaotic systems; Optimization methods of complex systems; Reliability modeling and system optimization; Computation and control over networked systems.
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Keywords
- asynchronous generator
- attitude stabilization
- bioinspired computing
- coal gangue logistics system
- control optimality conditions
- controlled quantum systems
- coral reefs optimisation
- Delay
- delayed impulse
- DFTC-PI control
- DFTC-TOSMC strategy
- direct flux and torque control (DFTC)
- discrete control systems
- distributed delay
- drill-strings
- ecosystem
- equilibrium points
- fault tolerant control
- finite time interval
- finite-time passivity
- fixed-point problem
- fixed-time control
- flexible spacecraft
- four wheel drive mobile robot
- Genetic algorithms
- global attractivity
- Hammerstein nonlinear systems
- Hill problem
- impulsive stochastic delay system
- integral proportional (PI) regulator
- integration of mining–dressing–backfilling
- linear approximation theory
- linear matrix inequality
- Lyapunov analysis
- lyapunov approach
- Lyapunov functional
- Markovian switched delay
- Mathematics & science
- matrix discrete Riccati equation
- meta-heuristics
- Minimax principle
- moment exponential stability
- n/a
- Neumann boundary value
- neural adaptive control
- neural networks
- neutral system
- node intelligent location
- optimal timing control
- optimization method
- Padé approximation
- Parameter estimation
- PSO–QNMs algorithm
- quantum correction
- Razumikhin technique
- reaction–diffusion epidemic models
- Reference, information & interdisciplinary subjects
- Research & information: general
- single-rotor wind turbine
- small step
- Stability
- steady state solution
- stick-slip
- switched stochastic systems
- switching time fault
- Synchronization
- the boundary layer functions method
- the SDRE approach
- third-order sliding mode controller (TOSMC)
- uniform persistence
- variational methods
- vibration control
- vibration suppression
- virus dynamic model
- weakly nonlinear systems
Links
DOI: 10.3390/books978-3-0365-6323-7Editions