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[PDF] Top 20 Topological Control and Stability of Dynamic Fractional Order Systems with Generalized Memory

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Topological Control and Stability of Dynamic Fractional Order Systems with Generalized Memory

Topological Control and Stability of Dynamic Fractional Order Systems with Generalized Memory

... in fractional derivatives describe the evolution of physical system losses and fractional rate of derivatives indicates the share of the remaining states of the system for the time ...Such systems ... See full document

5

Analysis of Fractional Order Control System with Performance and Stability

Analysis of Fractional Order Control System with Performance and Stability

... to stability for fractional order control system is ...a dynamic system whose behavior can be modeled by means of differential equations involving fractional ...of ... See full document

9

Generalized Synchronization of Typical Fractional Order Chaos System

Generalized Synchronization of Typical Fractional Order Chaos System

... The dynamic behavior Characteristics would be a linear function of ε , that is, the he dynamic behavior of (6) would change with the change of ε ...achieve generalized synchronization of two linear ... See full document

8

Generalized and inverse generalized synchronization of fractional order discrete time chaotic systems with non identical dimensions

Generalized and inverse generalized synchronization of fractional order discrete time chaotic systems with non identical dimensions

... of fractional calculus is old as its inception can be attributed to two of the most prominent figures of modern calculus, L’Hôpital and Leibniz, as early as ...discrete fractional calculus, which has not ... See full document

14

Asymptotic stability analysis of fractional order neutral systems with time delay

Asymptotic stability analysis of fractional order neutral systems with time delay

... The stability is a very essential and crucial issue for fractional-order control systems; see [, ...surate fractional-order systems, the Matignon stability ... See full document

11

Modified generalized projective synchronization of fractional order chaotic Lü systems

Modified generalized projective synchronization of fractional order chaotic Lü systems

... novel fractional-order chaotic system is ...novel fractional-order four-dimensional Lü system according to the generalized Adams-Bashforth-Moulton predictor-corrector algo- ...the ... See full document

13

Stability properties for generalized fractional differential systems

Stability properties for generalized fractional differential systems

... study fractional dierential systems in continuous time we start with some basic denitions and properties in subsection ...of stability for systems of com- mensurate order in subsection ... See full document

14

TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS

TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS

... Lyapunov stability analysis of nonautonomous fractional order ...Caputo fractional derivative of the product of two continuously differentiable ...Lyapunov stability of nonautonomous ... See full document

20

Stabilization of Arbitrary Switched Nonlinear Fractional Order Dynamical Systems: Application to Francis Hydro-Turbine Governing System

Stabilization of Arbitrary Switched Nonlinear Fractional Order Dynamical Systems: Application to Francis Hydro-Turbine Governing System

... dynamical systems under arbitrary ...physical systems more precise and direct than the conventional linear, non-switched or integer order ...the stability definitions of switched ... See full document

14

Fractional sliding mode control design for robust synchronization and anti-synchronization of fractional order nonlinear chaotic systems in finite time

Fractional sliding mode control design for robust synchronization and anti-synchronization of fractional order nonlinear chaotic systems in finite time

... in Control systems for Sharif of Technology, Tehran, Iran, in 2004 and ...Advanced Control Lab and cooperates as the PC members of some conferences and special editor and reviewer of international ... See full document

10

Dynamic Modeling and Fractional Order PIλDμ Control of PEM Fuel Cell

Dynamic Modeling and Fractional Order PIλDμ Control of PEM Fuel Cell

... the order of the controller can be chosen arbitrarily, so the FOPID controller owns more ...the control system. When the parameters of the control system change within a certain range, the system ... See full document

19

Stability of fractional neutral systems

Stability of fractional neutral systems

... decades, fractional calculus and fractional differential equations have at- tracted great ...that fractional-order calculus is more adequate to describe real world problems than the integer ... See full document

9

Preview tracking control for a class of fractional order linear systems

Preview tracking control for a class of fractional order linear systems

... preview control, then obtain the controller of (12), which is the controller of System ...optimal control theory that the controller which minimizes the performance index function given in Equation (13) ... See full document

19

Approximate Controllability of Fractional Order Retarded Semilinear Control Systems

Approximate Controllability of Fractional Order Retarded Semilinear Control Systems

... [10] R. K. George, D. N. Chalishajar and A. K. Nandakumaran, “Exact Controllability of the Nonlinear Third-Order Dis- persion Equation,” Journal of Mathematical Analysis and Applications, Vol. 332, No. 2, 2007 pp. ... See full document

8

On The Convergence of Stability Domain on Time Scales

On The Convergence of Stability Domain on Time Scales

... The paper is organized as follows. Section 2 summarizes some preliminary results on time scales, property of exponential functions on time scales and characterizes the stability domain of a time scale. The main ... See full document

12

Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)

Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)

... that fractional-order (FO) nonlinear systems can also show higher nonlinearity and complex ...chaotic systems have wider applications in secure communication, signal processing, financial ... See full document

8

Fractional Order Variational Calculus with Generalized Boundary Conditions

Fractional Order Variational Calculus with Generalized Boundary Conditions

... of fractional variational calculus further by proving the necessary optimality conditions for more general problems of the fractional calculus of variations with a fractional integral and a ... See full document

9

Implementation of Fractional Order PID Controller for An AVR System Using GA Optimization Technique

Implementation of Fractional Order PID Controller for An AVR System Using GA Optimization Technique

... In control system design and analysis or for optimal control purposes, performance indices are calculated to be used as quantitative measures to evaluate a system’s performance, where a control ... See full document

9

Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem

Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem

... researchers are devoting their work to the investigation of different kinds of stability in the sense of Ulam for toppled system of FODEs. For details, see [6, 22, 38, 39]. Recently, Ali et al. [9] investigated ... See full document

16

Recent applications of fractional calculus to science and engineering

Recent applications of fractional calculus to science and engineering

... 8. Fractional calculus in electrochemistry and tracer fluid ...half-order fractional integral of the current field was known in electrochemistry, Oldham [31] has initiated a mathematical study of some ... See full document

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