Method of positively invariant cones for evolution systems with cubic and periodic nonlinearities

2014 ◽  
Vol 50 (13) ◽  
pp. 1739-1751
Author(s):  
S. A. Popov
Keyword(s):  
Invariant Cones ◽  
Evolution Systems

scholarly journals On the finite approximate controllability for Hilfer fractional evolution systems with nonlocal conditions

2020 ◽  
Vol 18 (1) ◽  
pp. 529-539
Author(s):  
Xianghu Liu
Keyword(s):  
Approximate Controllability ◽  
Nonlocal Conditions ◽  
Sufficient Conditions ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Evolution System ◽  
Controlled Systems ◽  
Uniqueness Of The Solution ◽  
Fractional Evolution Systems ◽  
Evolution Systems

Abstract The aim of this study is to investigate the finite approximate controllability of certain Hilfer fractional evolution systems with nonlocal conditions. To achieve this, we first transform the mild solution of the Hilfer fractional evolution system into a fixed point problem for a condensing map. Then, by using the topological degree approach, we present sufficient conditions for the existence and uniqueness of the solution of the Hilfer fractional evolution systems. Using the variational approach, we obtain sufficient conditions for the finite approximate controllability of semilinear controlled systems. Finally, an example is provided to illustrate main results.

Feedback control for fractional impulsive evolution systems

2015 ◽  
Vol 268 ◽  
pp. 924-936 ◽  
Author(s):  
Cuie Xiao ◽  
Biao Zeng ◽  
Zhenhai Liu
Keyword(s):  
Feedback Control ◽  
Evolution Systems

scholarly journals Compactly embedded Cartan algebras and invariant cones in Lie algebras

1989 ◽  
Vol 75 (2) ◽  
pp. 168-201 ◽  
Author(s):  
Joachim Hilgert ◽  
Karl Heinrich Hofmann
Keyword(s):  
Lie Algebras ◽  
Invariant Cones
Sign in / Sign up

Export Citation Format

Share Document