...Xinghu Teng; Zaihua Wang Stability of a dynamical system may change from stable to unstable or vice versa, with the change of some parameter of the system. This is the phenomenon of stability switches, and it has been investigated intensively in the literature for conventional time-delay systems...

..., 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...

... 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...

... + T ) = W ( t ) . An n th order autonomous delay differential equation is expressed in state space form as follows: (44) X ˙ ( t ) = N ( t ) x ( t ) + W ( t )   x ( t − τ d ) When the steady-state solution for time delay system is computed...

... YNAMICS . Manuscript received June 22, 2017; final manuscript received October 19, 2017; published online November 17, 2017. Assoc. Editor: Dumitru Baleanu. 22 06 2017 19 10 2017 Control Fractional calculus Nonlinear dynamical systems Stability Time delay systems Stability...

... Systems With Interval Time-Varying Delays in Interconnections ,” Nonlinear Anal. Hybrid Syst. , 11 , pp. 22 – 36 . 10.1016/j.nahs.2013.04.002 [17] Thanh , N. T. , Niamsup , P. , and Phat , V. N. , 2017 , “ Finite-Time Stability of Singular Nonlinear Switched Time-Delay Systems...

... analysis. Mahyuddin et al. focused on the parametric stability of the cam and follower [ 15 – 17 ]. The periodic response of the cam-follower system has been estimated using the determinant of Floquet with Hill infinite theories. Experimental dynamics Nonlinear dynamical systems Time delay...

... Time delay systems Numerical Dynamics Integration methods Fractional differential equations have played an increasing role in modeling complex phenomena in the fields of physics, chemistry, biology, and engineering (see Refs. [ 1 – 4 ] and references therein). The authors in Ref. [ 5...

... of the time-delayed system are far more complicated than those of the original system without time delay. The three-order time-delayed system not only generates hyperchaotic attractors with multiscroll but also has multiple positive LEs. We observe that the number of positive LEs increases with increasing...

... Time delay systems The first skateboard was invented a century ago to carry surfboards to the ocean easier, namely, simple metal wheels were installed to wooden boards. The present configuration of the wheel suspension became common later only, by which, the wheel-pairs turn around...

... models Stability Time delay systems Heat exchangers are an integral part of power plants. Any downtime caused by the failure of this equipment will result in an overall shutdown of the power plant. In nuclear power plants, the coolant fluid inside the heat exchanger tubes is radioactive, while...

... dynamical systems Stability Time delay systems The concept of memristor as the fourth circuit element was discovered by Chua [ 1 ] in 1971, where the relationship between flux and charge was represented. However, the memristor was not developed or researched within circuit theory until in 2008...

... received September 3, 2015; final manuscript received October 13, 2016; published online December 5, 2016. Assoc. Editor: Firdaus Udwadia. 03 09 2015 13 10 2016 Stability Time delay systems Research on time-delay systems is very active [ 1 ] due to numerous applications...

... to the mystery surrounding the symptoms. Bio-Mechanical dynamics Control Nonlinear oscillations Time delay systems Stability of nonlinear systems Vibration 25 11 2015 24 06 2016 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C...

...Srimanta Santra; R. Sakthivel; B. Kaviarasan In this paper, the problem of reliable sampled-data control design with strict dissipativity for a class of linear continuous-time-delay systems against nonlinear actuator faults is studied. The main objective of this paper is to design a reliable...

... , T. T. , 2002 , “ Variable Order and Distributed Order Fractional Operators ,” Nonlinear Dyn. , 29 ( 1 ), pp. 57 – 98 . 10.1023/A:1016586905654 [43] Samiei , E. , Torkamani , S. , and Butcher , E. A. , 2013 , “ On Lyapunov Stability of Scalar Stochastic Time-Delayed Systems...

... of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received November 4, 2015; final manuscript received March 21, 2016; published online May 12, 2016. Assoc. Editor: Gabor Stepan. 04 11 2015 21 03 2016 Control Time delay systems...