[PDF] Top 20 Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)
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Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)
... of chaotic dynamics is its critical sensitivity to initial conditions, which is responsible for initially neighboring trajectories separating from each other exponentially in the course of ...lead systems ... See full document
8
Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems
... other fractional order derivatives do not satisfy them, such as chain rule, product, and quotient ...the fractional Newtonian mechanics was addressed using the conformable fractional ... See full document
12
A numerical approach for variable-order fractional unified chaotic systems with time-delay
... delay chaotic systems as a generalization of the delay chaotic systems be- long to a wider class of the fractional functional systems that the derivative of the unknown ... See full document
15
Robust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems
... of chaos in real fractional-order systems, control and stabilization of fractional-order systems have at- tracted the attention of many scholars in the past decade ...the ... See full document
7
Fractional sliding mode control design for robust synchronization and anti-synchronization of fractional order nonlinear chaotic systems in finite time
... and chaotic systems, ...PART 1. stepping based stabilization and synchronization of a class of fractional order chaotic systems,” Chaos, Solitons & ... See full document
10
Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)
... < 2 has also been considered by using the conversion methods and transfer function 8, ...the fractional differential systems with Caputo ...of fractional differential systems with ... See full document
17
Robust Adaptive Control for Fractional-order Financial Chaotic Systems with System Uncertainties and External Disturbances
... decades, fractional-order systems have received a significant amount physicists’ and engi- neers’ interest due to their attractive properties and potential applications [6, 12, 19, 23, 25, 29, 30, ... See full document
14
Observer based sliding mode synchronization for a class of fractional order chaotic neural networks
... mathematics, fractional calculus was born on 17th ...actual systems, ranging from life sciences and ma- terials engineering to secret communication and control theory, can be well modeled by ... See full document
15
Synchronization Method for a Class of Fractional order and Integer order Chaotic Systems
... dynamical systems, chaos is investigated in scientific and engineering disciplines, for example, power electronic circuit ...power systems (Harb and Nabi, 2003), medicine (Coffey, ...etc. ... See full document
5
Control and Synchronization of a Fractional-order Chaotic Financial System
... Lorenz chaotic system was proposed in 1963, as an interesting nonlinear phenomenon, chaos has applications in many areas such as secure communication, economics, many other engineering systems, and ... See full document
12
Observer Based Fuzzy Terminal Sliding Mode Controller Design for a Class of Fractional Order Chaotic Nonlinear Systems
... Fractional Order Calculus is a 300-year-old mathematical topic [1], but over the recent decades it has found many applications such as signal processing [2], chaos [3], controllers [4] ... See full document
8
Control Chaos in System with Fractional Order
... bitrary order, and is the fundamental theories of frac- tional order dynamical ...systems. Fractional-order diffe- rential/integral has been applied in physics and engi- neering, such ... See full document
6
Robust adaptive control for fractional order chaotic systems with system uncertainties and external disturbances
... physical systems (also biology, economics, etc.), and chaotic systems have become one of the hot topics in the nonlinear systems [1– ...first chaotic attractor, the research on ... See full document
15
Chaos, control, and synchronization in some fractional order difference equations
... discrete-time systems (maps) have received considerable attention over the last two decades due to their many applications in secure communications [1–4] and con- trol ...a chaotic behavior in the ... See full document
23
Synchronization between two non identical fractional order hyperchaotic systems
... As fractional order chaotic behaviour has a wide range of applications in image processing, secure communication, information encrypion, ...tional order chaotic systems gained a ... See full document
13
Design of Fractional Order Sliding Mode Controller for Chaos Suppression of Atomic Force Microscope System
... has chaotic behavior under in the specific conditions ...in order to suppress the chaotic behavior of atomic force microscope, a proportional and derivative controller is ...the chaotic ... See full document
7
Function based hybrid synchronization types and their coexistence in non identical fractional order chaotic systems
... years, fractional calculus has been noticed for having superior characteris- tics over conventional calculus in the modeling dynamics of natural phenomena ...in fractional calculus has been focused on ... See full document
12
Solvability for some class of multi order nonlinear fractional systems
... Remark 4.1 In Example 4.1 and Example 4.2 of [25], the systems (4.1) and (4.2) with con- ditions f (t, 0) ≡ 0 and g(t, 0) ≡ 0 are considered. However, in Example 4.1 of this paper, f (t, y) = 2t + 28(t – 1 ... See full document
10
Fractional order Chua’s system: discretization, bifurcation and chaos
... nonlinear fractional-order differential equations with constant or time-varying delay was ...the fractional differ- ential equations tend to lower the dimensionality of the differential equations in ... See full document
13
Adaptive fuzzy synchronization of uncertain fractional order chaotic systems with different structures and time delays
... The framework of this paper is as follows. Section 2 introduces some basic knowledge and many basic conclusions about fractional calculus and problem description. Controller design methods and unique result ... See full document
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