Uniform Stability Analysis for Time-Varying Systems Applying Homogeneity

We developed new stability analysis techniques for piecewise continuous time-varying linear systems with time- varying delays.. Our results can be used when stabilizing control

A summary of some of this work appears in the conference paper [35], but this version adds substantial value relative to [35] by including (i) an input-to-state stability analysis

Some additional tools for stability analysis of time-delay systems using homogeneity are also presented: in particular, it is shown that if a time-delay system is homogeneous

He is currently a Chair of TC on Variable Structure Systems and Sliding mode control of IEEE Control Systems Society, Associated Editor of the Journal of Franklin Institute,

For time-delay systems with negative degree it has been shown that if for zero delay the system is globally asymp- totically stable, then for any delay it is converging to some

The definition of this type of stability implies the existence of a function, often called settling-time function, that determines, given an initial condition, the minimum time at

we show

Thus the numerical analysis and design of homogeneous systems may be simpler since, for example, a Lyapunov function has to be constructed on a sphere only (on the whole state space