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This paper deals with the problem of tracking a reference signal while maintaining the stability of the closed loop system for linear time invariant systems with delays in the states. We show that conditions for the existence of a solution to this problem (the so-called regulation problem), similar to those known for the case of delay-free linear systems, may be given. We propose a solution for both the state and error feedback regulation.
The disturbance decoupling problem is studied for linear delay systems. The structural approach is used to design a decoupling precompensator. The realization of the given precompensator by static state feedback is studied. Using various structural and geometric tools, a detailed description of the feedback is given, in particular, derivative of the delayed disturbance can be needed in the realization of the precompensator.
The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stability of closed-loop system achieved by some stabilizing output feedback laws may be destroyed by whatever small time delay there exists in observation. In this paper, we are concerned with a particularly interesting case: Boundary output feedback stabilization of a one-dimensional wave equation system for which the...
The stabilization with time delay in observation or control represents difficult
mathematical challenges in the control of distributed parameter systems. It is well-known
that the stability of closed-loop system achieved by some stabilizing output feedback laws
may be destroyed by whatever small time delay there exists in observation. In this paper,
we are concerned with a particularly interesting case: Boundary output feedback
stabilization of a...
The stabilization with time delay in observation or control represents difficult
mathematical challenges in the control of distributed parameter systems. It is well-known
that the stability of closed-loop system achieved by some stabilizing output feedback laws
may be destroyed by whatever small time delay there exists in observation. In this paper,
we are concerned with a particularly interesting case: Boundary output feedback
stabilization of a...
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