On the stabilization of a nonlinear controlled system in the critical case of zero and purely imaginary roots

1970 ◽  
Vol 34 (4) ◽  
pp. 712-717
Author(s):  
N.V. Stoianov
Keyword(s):  
Critical Case ◽  
Controlled System ◽  
Nonlinear Controlled System ◽  
Imaginary Roots

scholarly journals An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Jian-Ping Sun ◽  
Qiu-Yan Ren ◽  
Ya-Hong Zhao
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Time Scales ◽  
Dynamic Equation ◽  
Optimal Solution ◽  
Control Policy ◽  
Controlled System ◽  
First Order ◽  
Nonlinear Controlled System

In this paper, we are concerned with a class of optimal control problem governed by nonlinear first order dynamic equation on time scales. By imposing some suitable conditions on the related functions, for any given control policy, we first obtain the existence of a unique solution for the nonlinear controlled system. Then, we study the existence of an optimal solution for the optimal control problem.

Sign in / Sign up

Export Citation Format

Share Document