Asymptotic tracking is studied for systems which are not regular, that is th.e relative degree is not well defined. Hence the control law derived from exact inputoutput linearization has singularities in the state space. We propose a tracking control law which switches between an approximate tracking law [l] close to the singularities, and an exact tracking law away from the singularities, and ...

Asymptotic tracking is studied for systems in which the relative degree is not well deened, meaning that the control law derived from exact input-output linearization has singularities in the state space. We propose a tracking control law which switches between approximate tracking 1] close to the singularities, and exact tracking away from the singularities, and we study the applicability of t...

This paper proposes a controller design method to stabilize class of nonlinear, non-autonomous second-order systems in finite time. is developed based on exact-linearization and Pontryagin’s minimum time principle. It shown that the system can be stabilized which upper bound chosen according initial states system. Simulation results are given validate theoretical analysis

We obtain exact, simple and very compact expressions for the linearization coefficients of products orthogonal polynomials; both conventional Clebsch-Gordan-type modified version. The are general depending only on three-term recursion relation linearizing polynomials. These more appropriate useful doing numerical calculations when compared to other exact formulas found in mathematics literature...

In the present research paper, an iterative approach named Shehu transform method is implemented to solve time-fractional hyperbolic telegraph equations in one, two, and three dimensions, respectively. These are prominent ones field of physics some other significant problems. The efficacy authenticity proposed tested using a comparison approximated exact results graphical form. Both 2D 3D plots...

The brief review of new methods of factorization, autonomization and exact linearization of the ordinary differential equations is represented. These methods along with the method of the group analysis based on using both point and nonpoint, local and nonlocal transformations are effective tools for study of nonlinear autonomous and nonautonomous dynamical systems. Thus a scope of exactly solva...