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IMA Journal of Mathematical Control and Information 1990 7(2):113-124; doi:10.1093/imamci/7.2.113
© 1990 by Institute of Mathematics and its Applications
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Constrained-Input Constrained-State Stability in a Banach Space

C. S. KUBRUSLY and P. C. M. VIEIRA

Department of Research and Development, National Lab. for Scientific Comp. -LNCC Rio de Janeiro 22290, Brazil and Department of Electrical Engineering, Catholic University -PUC/RJ Rio de Janeiro 22453, Brazil
Department of Research and Development, National Lab. for Scientific Comp. -LNCC Rio de Janeiro 22290, Brazil

This paper deals with the class of all discrete time-varying bounded linear systems in a Banach space for which the state sequence remains in a bounded region whenever the input sequence is constrained to (another) bounded region. A necessary and sufficient condition for membership to such a class is given, as well as a full description of its subclasses obtained by fixing a priori those bounded regions.


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