Skip to main content
placeholder image

Sampling-interval-dependent stability for linear sampled-data systems with non-uniform sampling

Journal Article


Abstract


  • This paper is concerned with the sampling-interval-dependent stability of linear sampled-data systems with non-uniform sampling. A new Lyapunov-like functional is constructed to derive sampling-interval-dependent stability results. The Lyapunov-like functional has three features. First, it depends on time explicitly. Second, it may be discontinuous at the sampling instants. Third, it is not required to be positive definite between sampling instants. Moreover, the new Lyapunov-like functional can make use of the information fully of the sampled-data system, including that of both ends of the sampling interval. By making a new proposition for the Lyapunov-like functional, a sampling-interval-dependent stability criterion with reduced conservatism is derived. The new sampling-interval-dependent stability criterion is further extended to linear sampled-data systems with polytopic uncertainties. Finally, examples are given to illustrate the reduced conservatism of the stability criteria.

Publication Date


  • 2016

Citation


  • Shao, H., Lam, J., & Feng, Z. (2016). Sampling-interval-dependent stability for linear sampled-data systems with non-uniform sampling. International Journal of Systems Science, 47(12), 2893-2900. doi:10.1080/00207721.2015.1036475

Scopus Eid


  • 2-s2.0-84928383954

Web Of Science Accession Number


Start Page


  • 2893

End Page


  • 2900

Volume


  • 47

Issue


  • 12

Abstract


  • This paper is concerned with the sampling-interval-dependent stability of linear sampled-data systems with non-uniform sampling. A new Lyapunov-like functional is constructed to derive sampling-interval-dependent stability results. The Lyapunov-like functional has three features. First, it depends on time explicitly. Second, it may be discontinuous at the sampling instants. Third, it is not required to be positive definite between sampling instants. Moreover, the new Lyapunov-like functional can make use of the information fully of the sampled-data system, including that of both ends of the sampling interval. By making a new proposition for the Lyapunov-like functional, a sampling-interval-dependent stability criterion with reduced conservatism is derived. The new sampling-interval-dependent stability criterion is further extended to linear sampled-data systems with polytopic uncertainties. Finally, examples are given to illustrate the reduced conservatism of the stability criteria.

Publication Date


  • 2016

Citation


  • Shao, H., Lam, J., & Feng, Z. (2016). Sampling-interval-dependent stability for linear sampled-data systems with non-uniform sampling. International Journal of Systems Science, 47(12), 2893-2900. doi:10.1080/00207721.2015.1036475

Scopus Eid


  • 2-s2.0-84928383954

Web Of Science Accession Number


Start Page


  • 2893

End Page


  • 2900

Volume


  • 47

Issue


  • 12