Abstract: A switched system with sector bounded nonlinearities is a precisely unified model to describe many kinds of practical systems. However, up to now, only Lyapunov asymptotically stability of ...

Abstract: It is well known that guaranteeing the stability of a recursive digital filter is the most important issue in the filter design process. The main objective of this paper is to present a new ...

Mathematics of Computation, Vol. 25, No. 115 (Jul., 1971), pp. 413-424 (12 pages) The weak sequential compactness of reflexive Banach spaces is used to explain the fact that certain ill-posed, linear ...

Infinite-dimensional systems, characterised by state spaces of infinite dimension such as those described by partial differential equations, present profound challenges and opportunities within ...

We study the asymptotic behaviour of individual orbits T(·)x of a uniformly bounded C0-semigruop {T(t)}t≥ 0 with generator A in terms of the singularities of the local resolvent (λ -A)-1x on the ...

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...