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Boundary controllability for the semilinear Schrödinger equation
2009 Edition, December 1, 2009 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We study the boundary exact controllability for the semilinear Schrödinger equation defined on an open, bounded, connected set Ω of a complete, n-dimensional, Riemannian manifold M with metric g. We prove the local exact...

Constrained approximate boundary controllability
1997 Edition, Volume 42, February 1, 1997 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper, constrained approximate boundary controllability for linear disturbed parameter dynamical systems described by partial differential equations of parabolic-type with mixed boundary conditions is considered. Using methods of spectral analysis...

Boundary controllability of a micropolar elastic body
2015 Edition, October 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this research the boundary controllability (boundary control) of three-dimensional micropolar elastic media using mathematical tool has been demonstrated. The advantage of the boundary control laws for boundary...

Backstepping boundary control for semilinear parabolic PDEs
2015 Edition, December 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper presents an infinite-dimensional back-stepping for boundary stabilization of semilinear parabolic PDEs. The feedback control law is developed from the feedback control law obtained for the linear parabolic PDEs. The...

Dynamic boundary control and disturbance rejection in boundary control systems
1992 Edition, January 1, 1992 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The authors consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. They assume that the system is subjected to external disturbance. To stabilize the undisturbed system, a dynamic...

Synchronization of nonlinear complex spatio-temporal networks using adaptive boundary control and pinning adaptive boundary control
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

There are many behaviors with spatio-temporal characteristics in nature. Complex spatio-temporal networks (CSNs) based on partial differential equations are to process such issues. This paper studies two synchronization boundary control methods. An adaptive boundary...

Boundary controllability of a thermoelastic plate
2016 Edition, July 1, 2016 - TCCT

Controllability properties of the thermoelastic plate with a curved middle surface are studied. By virtue of the Riemannian geometry approach and the multiplier technique, we show that one can simultaneously control the displacement of the plate...

Boundary control of thermoelastic beams
1997 Edition, July 1, 1997 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We show that the motions of a linear thermoelastic beam may be controlled exactly to zero in a finite time by a single boundary control that acts on one end of the beam. The optimal time of controllability depends upon the moment of inertia...

E-insensitizing boundary controls for semilinear wave equations
2008 Edition, July 1, 2008 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We consider the epsiv-insensitizing boundary controllability of semilinear wave equations under the Lipschitz nonlinearity in a bounded domain of Rn. We deduce that the controllability problem to a unique continuation property for a...

Absolute stability via boundary control of a semilinear parabolic PDE
2006 Edition, Volume 51, March 1, 2006 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We consider the problem of achieving global absolute stability of an unstable equilibrium solution of a semilinear dissipative parabolic partial differential equation (PDE) through boundary control. The state space of the system is extended in order...

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