In this article, we study feedback linearization problems for nonlinear differential-algebraic control systems (DACSs). We consider two kinds of equivalences, namely, external equivalence, which is defined (locally) on the whole generalized state space, and internal locally maximal controlled invariant submanifold (i.e., set where solutions exist). define a notion called explicitation with driv...

 This paper investigates on control and stabilization of a new hyperchaotic system. The hyperchaotic system is stabilized using a new technique which called Generalized Backstepping Method (GBM). Because of its similarity to Backstepping approach, this method is called GBM. But, this method is more applicable in comparison with conventional Backstepping.  Backstepping method is used only for sy...

Linearizability criteria for systems of two cubically semi-linear second order ordinary differential equations (ODEs) were obtained by geometric means using real symmetry analysis (RSA). Separately, complex symmetry analysis (CSA) was developed to provide means to discuss systems of two ODEs. It was shown that CSA provides a class of linearizable systems of two cubically semi-linear ODEs. Linea...