Absolute stability criteria for infinite-dimensional discrete Lur%26apos;e systems with application to loaded distortionless electric RLCG-transmission line

作者：Grabowski Piotr^*

来源：Journal of Difference Equations and Applications, 2013, 19(2): 304-331.

DOI：10.1080/10236198.2011.639366

• infinite-dimensional control systems
• Lyapunov functionals
• absolute stability criteria for discrete Lur%26apos
• e systems

We study absolute stability of a class of discrete Lur%26apos;e control system on an infinite-dimensional Hilbert space. Counterparts of the circle criterion and the Szego criterion are derived using, respectively, quadratic and non-quadratic Lyapunov functionals. A link with existing finite-dimensional theory of absolute stability is shown. The results are illustrated by an example of the loaded distortionless electric RLCG-transmission line with a nonlinear static feedback. Its stability was previously investigated using the circle criterion for continuous infinite-dimensional systems with unbounded control and observation in the frame of systems in factor form.

• 出版日期2013-2