The Maximum Principle and Controllability of Nonlinear Equations
- 1 May 1972
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control
- Vol. 10 (2) , 334-338
- https://doi.org/10.1137/0310025
Abstract
The main result proved is that a nonlinear control equation is controllable if a related linear equation is controllable. The result allows the set of control values to be discrete and it is not assumed that “small” values of the control are available. The methods used are closely related to the Pontryagin maximum principle.Keywords
This publication has 2 references indexed in Scilit:
- Controllability of Linear Oscillatory Systems Using Positive ControlsSIAM Journal on Control, 1971
- Controllability of Nonlinear ProcessesJournal of the Society for Industrial and Applied Mathematics Series A Control, 1965