## Abstract The relationship between the spectral radius and the decay rate for discrete stochastic systems is investigated. Several equivalent conditions are obtained, which guarantee a specified decay rate of the closedโloop systems. Based on the relationship, this paper provides a design method
Stabilizing controllers for discrete bilinear systems
โ Scribed by Yury Stepanenko; Xueshan Yang
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 520 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1049-8923
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โฆ Synopsis
In this paper, we study stabilizing controllers for time varying bilinear systems. Here, the feedback function, f in our paper is for larger classes than those given in the current literature. We establish existence theorems for stabilizing bilinear systems by output feedback from a large class. The main theorems basically state that under broad conditions, the zero state of the systems can be made asymptotically stable by output feedback. Following these stabilizing theorems, a new design procedure for the feedback control law is presented. Application of the new theorems is illustrated by a simulation example.
๐ SIMILAR VOLUMES
In this paper we derive a set of conditions which are both necessary and sufficient for complete controllability of a class of inhomogeneous discrete time bilinear systems.
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