Asymptotic solutions for mode II dynamic rupture with nonlinear damping

Asymptotic Behavior of Solutions to Quasilinear Hyperbolic Equations with Nonlinear Damping

Periodic Solutions of Some Differential Equations with Nonlinear Damping

The scientific legacy of Isaac Newton is remembered mainly for the discovery of infinitesimal calculus, at the same time of Leibniz, and gravitational theory, which explains completely the motion of the planets. After the revolution made by Newton’s laws in the knowledge of the universe, the interest of the scientific community was centered mainly on conservative systems, due to the influence o...

Exponential growth of solutions for a coupled nonlinear wave equations with nonlinear damping and source terms

In this paper, we study initial-boundary conditions for a coupled nonlinear wave equations with weak damping terms. The exponential growth for suf ciently large initial data is proved.

Adaptive Fuzzy Dynamic Sliding Mode Control of Nonlinear Systems

Two phenomena can produce chattering: switching of input control signal and the large amplitude of this switching (switching gain). To remove the switching of input control signal, dynamic sliding mode control (DSMC) is used. In DSMC switching is removed due to the integrator which is placed before the plant. However, in DSMC the augmented system (system plus the integrator) is one dimension bi...

Dynamic Sliding Mode Control of Nonlinear Systems Using Neural Networks

Dynamic sliding mode control (DSMC) of nonlinear systems using neural networks is proposed. In DSMC the chattering is removed due to the integrator which is placed before the input control signal of the plant. However, in DSMC the augmented system is one dimension bigger than the actual system i.e. the states number of augmented system is more than the actual system and then to control of such ...