ROBUST CONTROLLER-DESIGN FOR DISCRETE UNCERTAIN MULTIPLE TIME-DELAY SYSTEMS

We derive a variety of succinct criteria of robust stability for discr ete uncertain systems which contain multiple delays and a class of ser ies nonlinearities. Each result is expressed by a brief inequality and corresponds to compromise between simplicity and sharpness. The prope rties of norm are employed to investigate robust,less conditions that guarantee asymptotic stability rather than ultimate boundedness of tra jectories. It is shown that the uncertainties, nonlinearities, and del ays are the factors of instability of the overall system, between whic h some compromise is necessary.