Polynomial operators in non-linear systems theory
- 1 July 1971
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 2 (1) , 25-47
- https://doi.org/10.1080/00207727108920175
Abstract
The concept of generalized polynomial operators is introduced and applied to the theory of non-linear systems. Several properties similar to those previously derived for systems described e.g. by Volterra functional series are studied. The main attention is given to inverting of the operators in question. A local inverse is constructed and the region where it is valid is determined. The construction is applied to solving of certain types of non-linear differential equations and to seeking sufficient conditions for BIBO stability of the corresponding systems.Keywords
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