... Nonlinear dynamical systems Parameter estimation System identification Stability of nonlinear systems Fractional calculus was discovered in the 17th century [ 1 ]. The concept of fractional calculus was established as a pure mathematics for about three centuries. Fractional-order (FO) nonlinear...

... received July 30, 2018; published online August 27, 2018. Assoc. Editor: Katrin Ellermann. 07 04 2018 30 07 2018 Chaotic dynamics Control Design optimization Parameter estimation System identification Stability of nonlinear systems Design sensitivity Nonlinear systems...

... Bifurcations Chaotic dynamics Control Nonlinear dynamical systems Stability of nonlinear systems Networks synchronization has attracted a lot of attention in last years and one of the main reasons is that networks are everywhere, especially in nature, e.g., see Refs. [ 1 – 5 ]. On the other hand...

... Multibody system dynamics Nonlinear dynamical systems Design optimization Robotics Impact Contact Friction modeling Numerical Integration methods Bio-mechanical systems Biological systems Dynamics Stability of nonlinear systems Design sensitivity Nonlinear systems Mechanism systems...

...; published online July 26, 2018. Assoc. Editor: Dumitru Baleanu. 10 08 2017 05 11 2017 Control Fractional calculus Stability of nonlinear systems The purpose of fractional calculus is to generalize standard derivatives into noninteger order operators. As well acknowledged...

... applications in secure communication [ 17 – 20 ], image encryption [ 21 – 25 ], neural network [ 26 – 28 ], and so on. Chaotic dynamics Control Experimental dynamics Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Stability of nonlinear systems Vibration 15 06...

...: Dumitru Baleanu. 14 06 2017 15 11 2017 Computational dynamics Control Nonlinear dynamical systems Bio-mechanical systems Biological systems Stability of nonlinear systems The acquired immunodeficiency syndrome is caused by the human immunodeficiency virus (HIV). HIV...

... 2018 Chaotic dynamics Control Fractional calculus Stability of nonlinear systems Fractional calculus shares the same history as integer calculus, but it is not until recent decades that applications of fractional calculus have been explored. In recent days, numerous literatures have...

.... Assoc. Editor: Dumitru Baleanu. 01 08 2017 21 03 2018 Bifurcations Chaotic dynamics Control Fractional calculus Nonlinear dynamical systems Nonlinear phenomena Stability of nonlinear systems The term “hidden attractor” was coined by Leonov et al. who discovered...

...-based chaotic system to verify the proposed method. Chaotic dynamics Control Nonlinear dynamical systems Parameter estimation System identification Stability of nonlinear systems Chaos appears in many fields, such as physics, chemistry, medicine, computer science, and engineering [ 1...

... manuscript received April 30, 2018; published online May 30, 2018. Assoc. Editor: Zaihua Wang. 31 01 2018 30 04 2018 Control Fractional calculus Non-smooth dynamics Nonlinear dynamical systems Stability Stability of nonlinear systems In engineering practice...

... systems Stability Symbolic solution systems Stability of nonlinear systems 30 11 2017 24 04 2018 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received November 30, 2017; final...

... manuscript received April 9, 2018; published online May 17, 2018. Assoc. Editor: Firdaus Udwadia. 27 11 2017 09 04 2018 Control Nonlinear dynamical systems Perturbation Robotics Stability of nonlinear systems Mechanism systems Asymptotic models An industrial robot...

..., 2017; final manuscript received April 4, 2018; published online May 2, 2018. Assoc. Editor: Zaihua Wang. 27 11 2017 04 04 2018 Control Fractional calculus Nonlinear dynamical systems Time delay systems Stability of nonlinear systems Fractional calculus is a developed...

... . Manuscript received March 7, 2017; final manuscript received April 1, 2018; published online April 27, 2018. Assoc. Editor: Brian Feeny. 07 03 2017 01 04 2018 Control Multibody system dynamics Nonlinear oscillations Robotics Stability of nonlinear systems Vibration Mechanism...

... Nonlinear dynamical systems Stability Stability of nonlinear systems The centralized and decentralized control of large-scale networks has received considerable attention. Although the decentralized schemes have been widely employed due to their computationally efficient algorithms, but some...

... dynamics Control Nonlinear dynamical systems Stability of nonlinear systems 17 05 2017 20 02 2018 Copyright © 2018 by ASME 2018 1555-1415/2018/13(5)/051005/9/ $25.00 ...

... Stability of nonlinear systems Mechanical systems are generally subjected to various kinds of kinematic constraints which can be categorized as holonomic and nonholonomic constraints [ 1 , 2 ]. The nonholonomic constraints are usually defined as the nonintegrable...

... Time delay systems Stability of nonlinear systems Through the past years, the stabilization analysis of linear and nonlinear continuous or discrete-time systems has received much attention [ 1 – 8 ]. The stabilization of nonlinear time-varying systems has significant applications...

... of the terminal sliding mode surfaces; S1 and S2, respectively, correspond to joints 1 and 2 Control Fractional calculus Robotics Stability Uncertainty quantification Stability of nonlinear systems Mechanism systems In the past decades, the control theory has been successfully applied...