A basic problem in the control system theory is the mathematical modeling of a physical
system. The modeling of many systems calls for high-order dynamic equations. The …

This paper establishes a type of total stability for the input-to-state stability property with
respect to singular perturbations. In particular, if the boundary layer system is uniformly …

This note is concerned with the robust stability problem of uncertain two-time-scale systems,
where the only information available for system uncertainties is their norm upper bounds …

This article concerns a class of two-time-scale single-input single-output nonlinear systems.
For such systems, combination of singular perturbation and geometric methods is employed …

The H/sub 2/guaranteed cost control problem for a singularly perturbed norm-bounded
uncertain system is addressed using the quadratic stabilizability framework. After defining …

This note studies the robust stabilisation problem of a linear time–invariant singularly
perturbed system with nonlinear uncertainties, where the only information available for …

In this work, a robust controller design methodology for a broad class of singularly perturbed
nonlinear systems with time-varying uncertainties is developed. When the fast subsystem is …

A direct approach to the Lur'e problem for singularly perturbed systems (SPS) is proposed.
In contrast to previous results, the feedback connection between the linear and nonlinear …

This paper focuses on the synthesis of well-conditioned multivariable robust controllers for a
broad class of multi-input multi-output two-time-scale nonlinear systems with time-varying …

The singularly perturbed system is easily analysed by two time-scale systems, each of which
with a lower dimension than the original system. However, if uncertainties are added, then …