Nonlinear Dynamics and Control Theory
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".
Deadline for manuscript submissions: 31 December 2025 | Viewed by 6
Special Issue Editor
Interests: chaos synchronization; monitoring and control of nonlinear dynamical systems; nonlinear observers; fault diagnosis; control of fractional-order systems
Special Issue Information
Dear Colleagues,
Generally, nonlinear systems display complex dynamic behavior such as steady state multiplicity, singularities, instabilities, bifurcations, and complex oscillations. In fact, scientific interest in the study, modeling, and analysis of nonlinear systems with complex behaviors has attracted a lot of attention, and the applications have been growing considerably. There are several conditions that may affect the nonlinear dynamics, for instance, disturbances, singular input perturbations, initial conditions, and time delays. Nowadays, the theoretical results of systems with nonlinear complex dynamic behaviors have led to important technological applications. In particular, the analysis techniques of nonlinear dynamics, such as chaotic systems, have had important advances in process engineering, image cryptography, synchronization, stabilization, chaos suppression, secure data transmission, life science, information processing, etc.
Control theory has been seeking advanced techniques to achieve high performance in the closed-loop operation of systems, networks, processes, and so on. In fact, there are a wide variety of control structures that have been designed and applied with success such as sliding mode, adaptative, fuzzy logic, observer-based, neural networks, and metaheuristic methods.
Hence, in this Special Issue, we aim to present the developments related to modern trends in nonlinear dynamics and control theory.
Prof. Dr. Juan L. Mata-Machuca
Guest Editor
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Keywords
- analysis of nonlinear dynamics
- modeling of nonlinear systems
- nonlinear observers
- nonlinear controllers
- estimation
- stabilization
- parameter identification
- chaotic systems
- fractional-order systems
- applications of control theory
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