Brief paper: New method for identifying finite degree Volterra series
Automatica (Journal of IFAC)
Correspondence item: An addendum to volterra series and geometric control theory
Automatica (Journal of IFAC)
Technical communique: Extending the domain of definition of functional series for nonlinear systems
Automatica (Journal of IFAC)
Brief Series expansions for analytic systems linear in control
Automatica (Journal of IFAC)
Nonlinear system identification and adaptive control using polynomial networks
Mathematical and Computer Modelling: An International Journal 7777
| Hi-index | 22.15 |
It is shown here that controlled differential equations which are analytic in the state and linear in the control have solutions which can be expanded in a Volterra series provided there is no finite escape time. The Volterra kernels are computed in terms of the power series expansion of the functions defining the differential equation. We also give necessary and sufficient conditions for a Volterra series to be realizable by a linear-analytic system. These conditions are particularly easy to test if the Volterra series is finite; a complete theory is worked out for this case. In the final section some applications are considered to singular control, multilinear realization theory, etc.