New bounded real lemma for discrete-time singular systems
β Scribed by Gaomin Zhang; Yuanqing Xia; Peng Shi
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 144 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0005-1098
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π SIMILAR VOLUMES
The existence of a solution of the discrete-time algebraic Riccati equation is established assuming modulus controllability and positive semideΓΏniteness on the unit circle of the Popov function. As an application a nonstrictly bounded real lemma is obtained.
This paper investigates the problem of Hβ model reduction for linear discrete-time singular systems. Without decomposing the original system matrices, necessary and su cient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs) and a coupling non-c
The problem of the local stabilization of linear discrete-time systems subject to bounded controls and suffering from uncertainty of the norm-bounded time-varying type is addressed. From the solution of a certain discrete Riccati equation, a control gain and a set of safe initial conditions are obta