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This paper deals with uncertain systems with delayed argument and having the property that the entries of the state matrix are functionals of arbitrary nature with the only available information being the bounds on their variations. Using quadratic Lyapunov-Krasovskii functionals of the special form, the control is designed such that it is robust against the variations in the plant matrix, the system output decays exponentially no matter what the persistent exogenous disturbance is, and the state vector remains bounded. [ABSTRACT FROM AUTHOR]

Discusses invariant integrals in problems of a crack at the locus of inhomogeneity and in contact problems by researchers from Novosibirsk, Russia. Elucidation on the existence of an invariant integrals; Establishment of its existence in the problem of an elastic body that interacts with a rigid stamp; Reference of the existence of invariant integrals in the linear theory of cracks as Chepanov-Rice integrals.