In this paper the problem of input-output decoupling in nonlinear singular systems is solved via the application of a particular nonlinear PD feedback control law. An invertible transformation is provided, which converts the closed loop singular system into an equivalent regular, to which a static state feedback law is applied. This transformation, hence, allows the theory that exists for the c...

Singular zeros of systems of polynomial equations constitute a bottleneck when it comes to computing, since several methods relying on the regularity of the Jacobian matrix of the system do not apply when the latter has a non-trivial kernel. Therefore they require special treatment. The algebraic information regarding an isolated singularity can be captured by a finite, local basis of different...

This paper deals with the class of singular LPV systems. Sufficient conditions on controllers design are developed in the LMI (Linear Matrix Inequality) terms. In order to reduce the conservatism of the developed result using quadratic method, an approach based on polyquadratic Lyapunov functions is proposed. Numerical example is given to illustrate the effectiveness of the obtained results.

We present a local convergence analysis of inexact Newton method for solving singular systems of equations. Under the hypothesis that the derivative of the function associated with the singular systems satisfies a majorant condition, we obtain that the method is well defined and converges. Our analysis provides a clear relationship between the majorant function and the function associated with ...

Sufficient linear matrix inequalities (LMI) conditions for regularization of discrete-time singular systems are given. Then a new class of regularizing stabilizing controllers is discussed. The proposed controllers are the sum of predictive and memoryless state feedbacks. The predictive controller aims to regularizing the singular system while the memoryless state feedback is designed to stabil...