In this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. This controller is derived based on the closed form solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with the cheap control problem. This methodology employs an algebraic equation with parametric coefficients for the systems with s...

We consider nonlinear multibody systems and present a suitable set of coordinates for the internal dynamics which allow to decouple without need compute Byrnes–Isidori form. Furthermore, we derive sufficient conditions system parameters such that class with constant mass matrix are bounded-input, bounded-output stable.

This paper concerns the problem of output consensus in nonlinear non-minimum phase systems. The main contribution of the paper is to guarantee achieving consensus in the presence of unstable zero dynamics. To achieve this goal, an output redefinition method is proposed. The new outputs of agents are functions of original outputs and internal states and defined such that the dynamics of agents a...

The complete 3D nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. For describing the dynamics of the system, the Newtonian derivation procedure is followed. The velocity field inside the pipe formulated using hydrostatic and Bernoulli equations. The hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...

Internal Dvnamics of Neutron Stars The central element of many binary x-ray sources is a neutron star. Advances in the theory of dense matter, spurred by precise measurements of changes in spin rates of both rotationpowered and accretion-powered pulsars (see, for example, the section entitled “High-Mass X-Ray Binaries” in the main text) has made it possible to build detailed models describing t...