Abstract
AbstractWe investigate input-to-state stability (ISS) of infinite-dimensional collocated control systems subject to saturated feedback. Here, the unsaturated closed loop is dissipative and uniformly globally asymptotically stable. Under an additional assumption on the linear system, we show ISS for the saturated one. We discuss the sharpness of the conditions in light of existing results in the literature.
Funder
Bergische Universität Wuppertal
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering
Reference26 articles.
1. Cazenave T, Haraux A (1998) An introduction to semilinear evolution equations, Oxford Lecture Series in Mathematics and its Applications, vol 13. The Clarendon Press, Oxford University Press, New York
2. Curtain R, Zwart H (2020) Introduction to infinite-dimensional systems theory: a state-space approach, Texts in applied mathematics, vol 71. Springer, New York, NY
3. Dashkovskiy S, Mironchenko A (2013) Input-to-state stability of infinite-dimensional control systems. Math Control Signals Syst 25(1):1–35
4. Engel KJ, Nagel R (2000) One-parameter semigroups for linear evolution equations, Graduate Texts in Mathematics, vol 194. Springer, New York. With contributions by S. Brendle, M. Campiti, T. Hahn, G. Metafune, G. Nickel, D. Pallara, C. Perazzoli, A. Rhandi, S. Romanelli and R. Schnaubelt
5. Grüne L (1999) Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations. Syst Control Lett 38(1):27–35
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献