On zero-input stability inheritance for time-varying systems with decaying-to-zero input power

H. HAIMOVICH; J.L.MANCILLA AGUILAR

SYSTEMS AND CONTROL LETTERS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2017 vol. 104 p. 31 - 37

0167-6911

Stability results for time-varying systems with inputs are relatively scarce, as opposed to the abundant literature available for time-invariant systems. This paper extends to time-varying systems existing results that ensure that if the input converges to zero in some specific sense, then the state trajectory will inherit stability properties from the corresponding zero-input system. This extension is non-trivial, in the sense that the proof technique is completely novel, and allows to recover the existing results under weaker assumptions in a unifying way.