In this paper, we study numerically the existence and stability of some special solutions of the nonlinear beam equation: utt +uxxxx +u− |u|p−1u = 0 when p = 3 and p = 5. First we show the existence and the orbital stability of the standing wave solutions: u(x, t) = eφω(x). Next, we study the existence and linear stability of the traveling wave solutions: u(x, t) = φ(x + ct). For both types of ...

The aim of this paper is to study the Bounded Input Bounded Output (BIBO) stability of bilinear systems. The stability of linear systems can be studied by computing their transfer function. In this paper, we use the generating series (generalization of the transfer function) as a tool for analysing the stability of bilinear systems. In fact, the generating series G of a bilinear system is a for...

the aim of this paper is to investigate a novel approach for output feedback damping controller design ofstatcom in order to enhance the damping of power system low frequency oscillations (lfo). the design ofoutput feedback controller is considered as an optimization problem according with the time domain-basedobjective function which is solved by a honey bee mating optimization algorithm (hbmo...

suspension system is one of the most important factors in provision of ride comfort and dynamic stability in any vehicle. meanwhile the suspension systems of tracked vehicles, due to their continuous track, have particular specification in comparison with other vehicles. this specification causes tracked vehicles having an improved dynamic stability in off-road maneuvers compared to vehicles wi...

In this work, nonlocal vibration of double of carbon nanotubes (CNTs) system conveying fluid coupled by visco-Pasternak medium is carried out based on nonlocal elasticity theory where CNTs are placed in uniform temperature change and magnetic field. Considering Euler-Bernoulli beam (EBB) model and Knudsen number, the governing equations of motion are discretized and Ritz method is applied to ob...

A power system is a nonlinear one. When turbulence occurs in the power system, the stability of the system depends on the initial operating conditions and the nature of the turbulence. Nowadays renewable energy sources including photovoltaic have a key role to meet high demand of modern societies and to maintain voltage of the buses, while they also provide clean electrical energy. However, inc...

this paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. the given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. moreover, robust control laws are designed to guarantee the practical stability of the perturbe...

when power systems are expanded and connected together with weak tie lines, the low-frequency oscillations are increased and the stability margin of the power system decreases. therefore, when designing the transmission system to be used, it is necessary to maintain the dynamic stability of the power system, and to make sure to have the most possible stability margin. sssc is a facts device con...

For a Hurwitz stable matrix A ∈ Rn×n, we calculate the real structured radius of stability for A with a perturbation P = B∆(t)C, where A, B, C, ∆(t) form a patterned quadruple of matrices; i.e., they are polynomials of a common matrix of simple structure M ∈ Rn×n.

thyristor-controlled series compensator (tcsc) is one of the electric power lines series compensators. tcsc increases transmission system capacity and improves system dynamic and voltage stability. several controllers have been proposed, but most of them generally improve one of tcsc capabilities. in this paper a tcsc robust controller is designed based on nonlinear quantitative feedback theory...