discrete time systems. Necessary and sufficient globally optimal conditions, in the form of a matrix equation and a matrix inequality, are presented for the existence of the optimal constant output feedback gain of discrete time invariant system. Furthermore, it is shown that if the optimal output g
Necessary and sufficient conditions for stabilization of discrete-time planar switched systems
โ Scribed by Yuan Gong Sun; Long Wang; Guangming Xie
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 182 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
This paper discusses the stabilization problem for single-input discrete-time planar switched systems. We establish necessary and sufficient conditions for the stabilization of planar switched systems. A series of linear inequalities are presented for describing the set of all common quadratic Lyapunov functions. Our results are not only easily testable, but also constructive.
๐ SIMILAR VOLUMES
A simple sujicient stability criterionfor linear discrete systems obtained previously is proved to be necessary and sujicientfor the stability of a class of such systems with parametervariation.
Al~a~et--Let a real polynomial in a complex variable, whose coefficients are any given continuous functions of two real interval parameters, be given. Necessary and sufficient conditions are derived for the polynomial to have all its zeros outside (or inside) the unit circle of the complex variable