Nonlinear Perturbations of Control-Semilinear Control Systems

1982 ◽  
Vol 20 (3) ◽  
pp. 311-327 ◽  
Author(s):  
Kevin A. Grasse
Keyword(s):  
Control Systems ◽  
Nonlinear Perturbations ◽  
Semilinear Control Systems

scholarly journals Results on the approximate controllability of fractional hemivariational inequalities of order $1< r<2$

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
M. Mohan Raja ◽  
V. Vijayakumar ◽  
Le Nhat Huynh ◽  
R. Udhayakumar ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Fixed Point ◽  
Control Systems ◽  
Approximate Controllability ◽  
Hemivariational Inequalities ◽  
Evolution Inclusions ◽  
Fractional Systems ◽  
Cosine Families ◽  
Fixed Point Approach ◽  
Semilinear Control Systems ◽  
Theoretical Results

AbstractIn this paper, we investigate the approximate controllability of fractional evolution inclusions with hemivariational inequalities of order $1< r<2$ 1 < r < 2 . The main results of this paper are verified by using the fractional theories, multivalued analysis, cosine families, and fixed-point approach. At first, we discuss the existence of the mild solution for the class of fractional systems. After that, we establish the approximate controllability of linear and semilinear control systems. Finally, an application is presented to illustrate our theoretical results.

scholarly journals Approximate controllability of delayed semilinear control systems

2005 ◽  
Vol 2005 (1) ◽  
pp. 67-76 ◽  
Author(s):  
Lianwen Wang
Keyword(s):  
Differential Equations ◽  
Control Systems ◽  
Approximate Controllability ◽  
Sufficient Conditions ◽  
Semilinear Control Systems

We deal with the approximate controllability of control systems governed by delayed semilinear differential equations y˙(t)=Ay(t)+A1y(t−Δ)+F(t,y(t),yt)+(Bu)(t). Various sufficient conditions for approximate controllability have been obtained; these results usually require some complicated and limited assumptions. Results in this paper provide sufficient conditions for the approximate controllability of a class of delayed semilinear control systems under natural assumptions.

Controllability of fractional order system with nonlinear term having integral contractor

2013 ◽  
Vol 16 (4) ◽  
Author(s):  
Surendra Kumar ◽  
Nagarajan Sukavanam
Keyword(s):  
Control Systems ◽  
Fractional Order ◽  
Mild Solution ◽  
Existence And Uniqueness ◽  
Nonlinear Term ◽  
Lipschitz Continuity ◽  
Fractional Order System ◽  
Order System ◽  
Semilinear Control Systems

AbstractIn this paper, controllability results for a class of semilinear control systems of fractional order are established. The nonlinear term is assumed to have an integral contractor which is a weaker condition than the Lipschitz continuity. The existence and uniqueness of mild solution is also proved.

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