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Stability results of Popov-type for infinite-dimensional systems with applications to integral control. (English) Zbl 1032.93061

This paper considers feedback systems when the linear part contains an integrator (meaning in particular that the linear system is not input-output stable) and where at the same time the lower gain of the nonlinearity is allowed to be equal to 0 (which, for example, is the case for bounded nonlinearities such as a saturation). Absolute stability results are used to develop an input-output theory of low-gain integral control in the presence of input and output nonlinearities. Some applications to well-posed state-space systems are presented.

MSC:

93D10 Popov-type stability of feedback systems
93C25 Control/observation systems in abstract spaces
93D25 Input-output approaches in control theory
45M05 Asymptotics of solutions to integral equations
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