Singular systems, defined as dynamical systems subject to algebraic constraints, arise in many engineering disciplines. The output regulation problem for singular nonlinear systems has been studied recently for the ideal case where the mathematical model is exactly known. This paper will consider the robust output regulation problem for a class of singular nonlinear systems which contain uncert...

In this work, we deal with normalizable-balanced singular systems, that is, singular systems where the obtained closed-loop system is balanced by an appropriate feedback. In the invariant case, we use a proportional and derivative feedback to obtain systems without infinite poles. In addition, the existence and construction of state-feedbacks to obtain normalizable-balanced N-periodic singular ...

We consider the interval iteration [x]kH = [A][X]k+ [b]with p(I[A]I) ::; 1 where I[A]I denotes the absolute value of the given interval matrix [A]. If I[A]I is irreducible we derive a necessary and sufficient criterion für the existence of the limit [x]*= [x]*([x]o)of each sequence ([xt) of interval iterates. In this way we generalize a well-known theorem of O. Mayer [6] on the above-mentioned ...

A singular control system SG on G is defined by a pair E, D of.type for a single-input, control affine, nonlinear system in small dimension. Has on the optimality of singular controls when the control is replaced with.ABSTRACT A normal form for open loop control systems is provided, based on their interpretation as skew product flows and on normal forms for.Introduction. In this paper, the foll...

We deal with singular multivariate AR systems and the corresponding AR processes. An AR system is called singular if the variance of the white noise innovation is singular. AR processes are the stationary solutions of AR systems. In the singular case AR processes consist of a linearly regular and a linearly singular component. The corresponding Yule-Walker equations and in particular the possib...

In this study, the problem of finding an optimal controller for nonlinear systems with one input and a reference tracking signal is approached. With problem's formulation, any desired can be tracked instantly closed-loop without need integral terms. Presentation lies at heart control. This however, does not consider term, allowing stability to occur naturally. It has broad scope wide range appl...