S. M. Verduyn Lunel

Stability and control of feedback systems with time delays

Feedback systems are important in applications, e.g. optical feedback lasers, phase-locked frequency synthesizers and wave equations with feedback stabilization at the boundary, and the problem regarding sensitivity and robustness of the feedback system with respect to time delays has attracted much attention. This paper continues the discussion on sensitivity and robustness of the feedback stabilization of neutral differential delay equations with respect to variation in the delays and with respect to a time delay in the feedback loop. The main result shows that robustness of the stabilization actually depends on the radius of the essential spectrum of the semigroup associated with the equation.

Generalizations of the Perron-Frobenius theorem for nonlinear maps

Introduction Basic properties of admissible arrays Further properties of admissible arrays Computation of the sets

A sharp version of Henry's theorem on small solutions

P(n)

Lower and upper bounds for ω-limit sets of nonexpansive maps☆

Necessary conditions for array admissible sets Proof of Theorem C

A Broyden Rank p +1 Update Continuation Method with Subspace Iteration

P(n)\ne Q(n)

Optimization of cyclically operated reactors and separators

for general

Acceleration of the determination of periodic states of cyclically operated reactors and separators

n

Center Manifold Theory for Functional Differential Equations of Mixed Type

P_2(n)

Analysis of Newton's Method to Compute Travelling Waves in Discrete Media

satisfies rule A and rule B The case of linear maps Bibliography Appendix A Description of the program Appendix B Numerical data.