Title :
On nonlinear sampling inversion
Author :
Monaco, S. ; Normand-Cyrot, D.
Author_Institution :
Dipt. di Informatica e Sistemistica, Universita di Roma "La Sapienza", Rome
Abstract :
The paper studies how to recover a nonlinear continuous-time dynamics from the asymptotic expansion in powers of delta, the sampling period, of a given map. Two strategies are discussed yielding either directly to a time-varying differential equation or to a stationary delta dependent differential equation which results to be the average dynamics of another time-varying one
Keywords :
continuous time systems; differential equations; nonlinear control systems; sampling methods; time-varying systems; asymptotic expansion; formal series expansions; nonlinear continuous-time dynamics; nonlinear sampling inversion; stationary delta dependent differential equation; time-varying differential equation; Closed-form solution; Combinatorial mathematics; Context modeling; Differential equations; Digital control; Inverse problems; Sampling methods; USA Councils; Nonlinear sampling; formal series expansions; time-varying dynamics;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377805
