Approximate Controllability of Boundary Control Systems with Nonlinear Boundary Conditions

Boundary Control Systems ◽

Delayed Control Systems ◽

Controllability Result

The paper deals with the approximate controllability of a class of nonlinear delayed control systems in which the control is acted through the boundary of the region and the boundary conditions are nonlinear. The approximate controllability result is established provided the approximate controllability of the corresponding linear systems.

Particular solution of infinite-dimensional linear systems with applications to trajectory planning of boundary control systems

Mathematics of Control Signals and Systems ◽

10.1007/s00498-013-0119-1 ◽

2013 ◽

Vol 26 (2) ◽

pp. 279-301

Author(s):

Nader Sadegh

Keyword(s):

Control Systems ◽

Linear Systems ◽

Boundary Control ◽

Trajectory Planning ◽

Infinite Dimensional ◽

Boundary Control Systems ◽

Particular Solution

Constrained approximate controllability of boundary control systems

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnv002 ◽

2015 ◽

Vol 33 (3) ◽

pp. 669-683 ◽

Cited By ~ 1

Author(s):

Mohamed El Azzouzi ◽

Hammadi Bouslous ◽

Lahcen Maniar ◽

Said Boulite

Keyword(s):

Control Systems ◽

Boundary Control ◽

Approximate Controllability ◽

Well-posedness and exponential stability of boundary control systems with dynamic boundary conditions

Systems & Control Letters ◽

10.1016/j.sysconle.2020.104825 ◽

2021 ◽

Vol 147 ◽

pp. 104825

Author(s):

Abed Boulouz ◽

Hamid Bounit ◽

Said Hadd

Keyword(s):

Boundary Conditions ◽

Exponential Stability ◽

Control Systems ◽

Boundary Control ◽

Well Posedness ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary ◽

Generalized control systems, boundary control systems, and delayed control systems

Mathematics of Control Signals and Systems ◽

10.1007/bf02551366 ◽

1990 ◽

Vol 3 (2) ◽

pp. 165-181 ◽

Cited By ~ 22

Author(s):

L. Pandolfi

Keyword(s):

Control Systems ◽

Boundary Control ◽

Boundary Control Systems ◽

Delayed Control Systems ◽

Generalized Control Systems

Approximate controllability of non-autonomous mixed boundary control systems

10.1063/5.0039274 ◽

2021 ◽

Author(s):

Sutrima Sutrima ◽

Mardiyana Mardiyana ◽

Respatiwulan ◽

Winita Sulandari ◽

Mochtar Yunianto

Keyword(s):

Control Systems ◽

Boundary Control ◽

Approximate Controllability ◽

Mixed Boundary ◽

Disturbance Rejection in Boundary Control Systems

10.23919/acc.1989.4790448 ◽

1989 ◽

Cited By ~ 2

Author(s):

S. M. Shahruz ◽

O. Morgul

Keyword(s):

Control Systems ◽

Boundary Control ◽

Disturbance Rejection ◽

Destabilization of uniform steady states in linear diffusion systems with nonlinear boundary conditions

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410201 ◽

2019 ◽

Cited By ~ 1

Author(s):

Atsushi Anma ◽

Kunimochi Sakamoto

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Steady States ◽

Linear Diffusion ◽

Diffusion Systems

A uniqueness result for a class of infinite semipositone problems with nonlinear boundary conditions

Positivity ◽

10.1007/s11117-021-00820-x ◽

2021 ◽

Author(s):

D. D. Hai ◽

A. Muthunayake ◽

R. Shivaji

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Uniqueness Result

Ordinary Differential Equations with Nonlinear Boundary Conditions

Georgian Mathematical Journal ◽

10.1515/gmj.2002.287 ◽

2002 ◽

Vol 9 (2) ◽

pp. 287-294

Author(s):

Tadeusz Jankowski

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Ordinary Differential Equations ◽

Nonlinear Boundary ◽

Existence Results ◽

Monotone Iterative Technique ◽

Lower And Upper Solutions ◽

Iterative Technique ◽

Monotone Iterative

Abstract The method of lower and upper solutions combined with the monotone iterative technique is used for ordinary differential equations with nonlinear boundary conditions. Some existence results are formulated for such problems.