This paper investigates the exponential stability problem for a class of singularly perturbed impulsive systems in which flow dynamics is unstable and affected at discrete time instants by impulses that have both destabilizing stabilizing effects. More precisely effects on slow variables but fast ones. Thus, first contribution our work related to analysis case when neither nor one stable. In or...

Increasing the intensity of a complex catalytic reaction is an obvious task chemical technology, and one important problems obtaining over-equilibrium kinetic characteristics (rate, concentration, yield, selectivity) in transient non-steady-state regime. 
 As known, for closed system or open infinite length, equilibrium final state reaction, simple complex.
 The fundamental properties...

This paper presents a standard H∞ controller design for singularly perturbed systems with frequency domain by unified approach using the delta operators. Decomposition of the singularly perturbed systems into the fast and slow subsystems is shown. And the delta operator approach is implemented to improve a finite word-length (FWL) characteristics. The delta operator systems have the better FWL ...

The problem of state-feedback control design for a class of singularly perturbed systems with time delays and norm-bounded nonlinear uncertainties is studied in this paper. The system under consideration considers discrete delays in both slow and fast dynamics and norm-bounded nonlinear uncertainties. It is shown that the control gains are obtained to guarantee the stability of the closed-loop ...