Correctness of controlled dissipative systems relative to small-amplitude disturbances (Q1175860)

The paper is devoted to the study of the so-called dissipative or convergence systems, in the form of \(\dot x(t)+Ax(t)=\dot u(t)\), where \(u\) is the control, \(x\) is the state vector, \(A\) in general is a nonlinear and even multivalued maximal monotone operator. It is shown the vibration correctness of the input-output transducers, defined by the differential equations with maximal monotone operators whose effective domain has a non-empty interior in a Hilbert space.