During the past decades, considerable advances have been made in the numerical simulation of controlled distributed parameter systems (DPS). In the opinion of this author, this numericalâ€¦ (More)

In the preface, the authors refer to three milestones of modern optimal control theory: the Pontryagin muximum principle, Bellmanâ€™s dynamic programming principle and Kalmanâ€™s optimal linear regulatorâ€¦ (More)

For a wide class of infinite-dimensional linear systems it is shown that if the state-space realization is exponentially stabilizable and detectable then exponential stability is equivalent toâ€¦ (More)

We obtain necessary and sufficient conditions for the existence of strongly stabilizing solutions to Riccati equations for infinite-dimensional systems that are strongly, but not exponentiallyâ€¦ (More)

For a regular linear system with zero in the resolvent set of the generator we introduce its reciprocal system, which has bounded generators. We show that there are close relationships between keyâ€¦ (More)

We consider a hinged elastic beam described by the Rayleigh beam equation on the interval [0,pi]. We assume the presence of two sensors: one measures the angular velocity of the beam at a point xiâ€¦ (More)

Invariance concepts such as A-invariance, (A, B)- invariance and (C, A)-invariance are extended to infinite dimensions and their applicability to classical disturbance decoupling problems areâ€¦ (More)

The aim of this investigation is to construct an adaptive observer and an adaptive compensator for a class of infinitedimensional plants having a known exogenous input and a structured perturbationâ€¦ (More)