Discrete feedback stabilization of semilinear control systems

Feedback Stabilization of Semilinear Heat Equations

Global Stabilization of Linear Discrete-Time Systems with Bounded Feedback

This paper deals with the problem of global stabilization of linear discrete time systems by means of bounded feedback laws. The main result proved is an analog of one proved for the continuous time case by the authors, and shows that such stabilization is possible if and only if the system is stabilizable with arbitrary controls and the transition matrix has spectral radius less or equal to on...

State Feedback Positive Stabilization of Discrete Descriptor Systems

The positive stabilization problem of discrete-time descriptor systems by means of state-feedback control is studied here. Thus, conditions are developed for a state-feedback controller to make the controlled descriptor system simultaneously stable and positive. An illustrative example is provided to illustrate the proposed approach.

Stabilization of Unstable Periodic orbits of Chaotic Discrete-Time Systems Using Prediction-Based Feedback Control

In this paper, we consider feedback control that stabilizes unstable periodic orbits (UPOs) of chaotic discrete-time systems. First, we show that there exists a strong necessary condition for stabilization of the UPOs when we use delayed feedback control (DFC) that is known as one of useful methods for controlling chaotic systems. The condition is similar to that in the xed point stabilization ...

Stabilization of Hybrid Systems by Feedback Control Based on Discrete-Time State Observations

Recently, Mao [19] initiates the study the mean-square exponential stabilization of continuous-time hybrid stochastic differential equations by feedback controls based on discrete-time state observations. Mao [19] also obtains an upper bound on the duration τ between two consecutive state observations. However, it is due to the general technique used there that the bound on τ is not very sharp....