Advances in Nonlinear Dynamical Systems and Control

Dear Colleagues,

One of the main purposes of research in nonlinear control systems is to design various types of control techniques for the various nonlinear control models arising in real-world applications. Nonlinear control systems are often governed by nonlinear differential equations. A special type of nonlinear dynamical system is the family of chaotic systems, which are highly sensitive to changes in their initial conditions. Backstepping control, adaptive control, sliding mode control, fuzzy logic control, and fuzzy-based sliding mode control are some of the popular techniques used in the nonlinear control theory. Various mathematical techniques have been developed for analyzing the nonlinear differential equations such as Lyapunov stability theory, limit cycle theory, Poincaré maps, bifurcation theory, chaos theory, and describing functions.

Fractional-order differential equations and control systems have been also paid much attention to in the control literature. A fractional-order system is a dynamical system that can be modeled by a fractional differential equation containing derivatives of non-integer order. Fractional-order systems are highly useful in analyzing the anomalous behavior of nonlinear dynamical systems arising in physics, biology, electrochemistry, memristors, and chaotic systems.

Prof. Dr. Sundarapandian Vaidyanathan
Guest Editor

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