Nonlinear Systems Dynamics, Control, Optimization and Applications to the Science and Engineering

• Other Authors: Zhu, Quanxin (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: Research & information: general; Mathematics & science; stick-slip; drill-strings; vibration control; coral reefs optimisation; meta-heuristics; Minimax principle; linear approximation theory; ecosystem; steady state solution; asynchronous generator; single-rotor wind turbine; direct flux and torque control (DFTC); third-order sliding mode controller (TOSMC); integral proportional (PI) regulator; DFTC-PI control; DFTC-TOSMC strategy; neural networks; finite-time passivity; linear matrix inequality; distributed delay; neutral system; integration of mining-dressing-backfilling; coal gangue logistics system; node intelligent location; PSO-QNMs algorithm; discrete control systems; weakly nonlinear systems; small step; the SDRE approach; matrix discrete Riccati equation; the boundary layer functions method; Padé approximation; finite time interval; controlled quantum systems; control optimality conditions; fixed-point problem; optimization method; virus dynamic model; delay; uniform persistence; global attractivity; Lyapunov functional; Hammerstein nonlinear systems; parameter estimation; bioinspired computing; genetic algorithms; Markovian switched delay; impulsive stochastic delay system; moment exponential stability; Lyapunov approach; Razumikhin technique; attitude stabilization; flexible spacecraft; neural adaptive control; fixed-time control; vibration suppression; Lyapunov analysis; fault tolerant control; switching time fault; optimal timing control; switched stochastic systems; four wheel drive mobile robot; Neumann boundary value; delayed impulse; synchronization; reaction-diffusion epidemic models; variational methods; Hill problem; quantum correction; equilibrium points; stability; n/a
• Online Access: DOAB: download the publication; DOAB: description of the publication

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.