Title :
Stability properties and periodic evolutions of bilinear systems in input-output form
Author :
Fornasini, Ettore ; Valcher, Maria Elena
Author_Institution :
Dipt. di Elettronica e Inf., Padova Univ., Italy
fDate :
6/1/1999 12:00:00 AM
Abstract :
Bilinear systems in input-output form are introduced and represented by means of suitable rational functions in two indeterminates. Necessary and sufficient conditions for bounded-input/bounded-output (BIBO) stability are derived and compared with analogous results on two-dimensional systems stability. Several features of the output evolutions corresponding to finite support as well as to periodic input sequences are discussed and related to the polar structure of the rational functions describing the input-output maps
Keywords :
bilinear systems; discrete time systems; input-output stability; poles and zeros; rational functions; sequences; BIBO stability; bilinear systems; bounded-input/bounded-output stability; input-output form systems; input-output maps; necessary and sufficient conditions; periodic evolutions; rational functions; stability properties; two-dimensional systems; Added delay; Linear systems; Linearity; Mathematical model; Modal analysis; Nonlinear systems; Periodic structures; Stability analysis; Sufficient conditions; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
