A continuous feedback controller is designed to suppress and eliminate the chaotic behavior of Chua’s circuit. This controller is constructed by the following two phases. First, the set of equilibrium points is extended by virtue of embedding suitable feedback terms in the control channel. Second, a state error term is then added to steer the dynamics of the control system to a fixed point or a...

This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. As special cases, this theory includes not only Lagrangian reduction (including reduction by stages) for Lie group actions, but also classical Routh reduction, which we show is naturally posed in this fibered setting. ...

In the conventional two degree freedom (TDF)-internal model controller (IMC) design, obtaining suitable value of tuning parameter is much more complex and difficult. In this paper, the approach of genetic algorithm (GA) is proposed to obtain optimized value of tuning parameter used in TDF-IMC controller design. For TDF-IMC controller design, 2 nd order reduced-model is obtained using the Routh ...

Analysis and controlling of bifurcation for a class of chaotic Van der PolDuffing system with multiple unknown parameters are conducted. The stability of the equilibrium of the system is studied by using Routh-Hurwitz criterion, and the critical value of Hopf bifurcation is investigated. Based on the center manifold theory and normal form reduction, the stability index of bifurcation solution i...

This study addresses the adaptive control and synchronization of the modified Chua’s circuit system with unknown system parameters. Adaptive control law is applied to suppress chaos to one of the three steady states. Adaptive control law is applied to achieve synchronization of two identical modified Chua’s circuit systems. Routh– Hurwitz criteria and Lyapunov direct method are used to study th...

Abstract. The control problem of a novel hyperchaotic system is investigated. The linear, speed, nonlinear, nonlinear doubly-periodic function feedback controls are used to suppress hyperchaos to unstable equilibrium. Limit cases of doubly-periodic function are considered and the hyperbolic function and trigonometric function feedback control laws are derived. The Routh–Hurwitz criterion is app...

A fractional-order nonlinear dynamical model of couple has been introduced. Upper bounds are obtained for a fractional-order nonlinear dynamical model. Also different from other models, a model with the order 2 α is discussed. We are expecting an acceleration in feelings; that is why we increase the order of the derivative between 1 < 2α ≤ 2. Stability analysis of the fractional-order nonlinear...

Abslrocr -Suppose that a rational function Z ( s ) is defined by a Laurent .series, the coefficients of which are known. Several criteria are given in terms of these coefficients (the Markov parameters of Z(s)) to ensure that Re Z ( j w ) > 0 for all red w. The criteria are defined by using a Cauchy index formulation of the ratio of two rational functions, and they are of three types-involving ...

The ZIKV model presented in this article is developed by modifying \cite{Bonyah2016}’s model. classical order changed into fractional equilibrium points of the are determined and stability conditions each point have been done using Routh-Hurwitz conditions. Numerical simulation to verify result analysis result. also used shows effect $\alpha$ model’s point.

in this paper, a new alternative method for order reduction of high order systems is presented based on optimization of multi objective fitness function by using harmony search algorithm. at first, step response of full order system is obtained as a vector, then, a suitable fixed structure considered for model order reduction which order of original system is bigger than fixed structure model. ...