Consequently, we present a conjecture that third-order chaotic nonlinear systems can still produce chaotic behavior with a total system order of 2 + epsilon, 1 > epsilon > 0, using the appropriate control parameters. The effect of fractional order on the chaotic range of the control parameters ...
State estimation of dynamic systems is quite significant in many research areas, such as state-based control and stabilization, state-based monitoring and fault detection. This paper is concerned with the problem of observer-based state estimation for a class of fractional-order (FO) nonlinear dynam...
Bednarova, Fractional-order chaotic systems, in: Pro- ceedings of the 14th IEEE International Conference on Emerging Technologies & Factory Automation, 2009, pp. 1031-1038.I. Petra´ˇs, "Fractional-order chaotic systems," in Fractional- Order Nonlinear Systems, Nonlinear Physical Science, pp. ...
Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation (Springer, Berlin, 2011). Book Google Scholar Wang, X., He, Y. & Wang, M. Chaos control of a fractional order modified coupled dynamos system. Nonlinear Anal. 71(12), 6126–6134 (2009). Article MathSciNet Google ...
Lan, Y.H.: Iterative learning control with initial state learning for fractional order nonlinear systems. Comput. Math. Appl. 10, 3210–3216 (2012) Article MathSciNet Google Scholar Li, Y., Chen, Y.Q., Ahn, H.S.: On the PDα-type iterative learning control for the fractional-order...
The aim of this Special Issue is to bring together the latest innovative knowledge, analysis, and synthesis of fractional control problem of nonlinear systems. Topics of interest include state estimation for fractional-order systems including, for example, works on new results on the state estimation...
interest in studying fractional-order nonlinear partial differential equations due to their wide range of applications in areas such as viscoelasticity, dielectric polarization, electrode-electrolyte polarization, electromagnetic wave propagation, quantitative finance, and the quantum evolution of complex systems...
4.2. Fractional Order Linear Time-Invariant Systems Besides the conception of stability, for fractional order linear time-invariant systems (47) the conceptions of controllability and observability (known as linear and nonlinear differential systems [42, 43]) are introduced too. In (47) x∈ ℝ...
Aiming at the problem of the system state constraints, the nonlinear systems with state constraint and actuator faults are controlled in [36] by constructing barrier Lyapunov function (BLF). In [37], output tracking controller is proposed for a class of high-order nonlinear systems with state ...
Stability of fractional-order nonlinear dynamic systems is studied using Lyapunov direct method with the introductions of Mittag–Leffler stability and generalized Mittag–Leffler stability notions. With the definitions of Mittag–Leffler stability and generalized Mittag–Leffler stability proposed, the decaying...