Feedback systems are important in applications, for example, optical feedback lasers, phase-locked frequency synthesizers and wave equations with feedback stabilization at the boundary, and theâ€¦ (More)

We show that stabilizing tracking proportional-integral (PI) controllers can be constructed for minimum-phase nonaffine-in-control systems. The constructed PI controller is an equivalent realizationâ€¦ (More)

We study linear systems of functional differential equations of mixed type, both autonomous and (asymptotically hyperbolic) nonautonomous. Such equations arise naturally in various contexts, forâ€¦ (More)

This paper develops the theory of vibrational control Of "lhJear time Systems with arbitrarily large but bounded delay. theory for fast Oscillating, differential delay equations is presented and thenâ€¦ (More)

We extend Linâ€™s method for use in the setting of parameter-dependent nonlinear functional differential equations of mixed type (MFDEs). We show that the presence of M -homoclinic and M -periodicâ€¦ (More)

Electric circuits designers are frequently interested in the transient behaviour of the designed circuit. A common method for time integration of the Differential Algebraic circuit Equations (DAE) isâ€¦ (More)

Let Kn = {x âˆˆ Rn | xi â‰¥ 0, 1 â‰¤ i â‰¤ n} and suppose that f : Kn â†’ Kn is nonexpansive with respect to the l1-norm, â€–xâ€–1 = âˆ‘n i=1 |xi|, and satisfies f(0) = 0. Let P3(n) denote the (finite) set ofâ€¦ (More)