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D. Liberzon, A. Morse (1999)
Basic problems in stability and design of switched systemsIEEE Control Systems Magazine, 19
A. Fursov, E. Khusainov (2015)
On the stabilization of switchable linear systemsDifferential Equations, 51
(2002)
Robastnaya ustoichivost’ i upravlenie (Robust Stability and Control)
A. Fursov, S. Minyaev, Yu. Mosolova (2019)
Synthesis of a Digital Output Controller for a Switched Interval Linear SystemDifferential Equations, 55
(2006)
Universal’nye resheniya interval’nykh zadach optimizatsii i upravleniya (Universal Solutions of Interval Optimization and Control Problems)
R. Horn, Charles Johnson (1985)
Matrix analysis
L. Jaulin, M. Kieffer, Olivier Didrit, Éric Walter (2001)
Applied Interval Analysis
(2010)
Konechnomernyi interval’nyi analiz (Finite-Dimensional Interval Analysis)
(1985)
Translated under the title: Matrichnyi analiz
We solve the problem of constructing a digital controller superstabilizing acontinuous-time switched system whose operation modes are interval linear systems. Theproposed approach to stabilization includes constructing a continuous/discrete-time closed-loopsystem with a digital controller, passing to its discrete-time model, and constructing a controllerthat simultaneously superstabilizes all the interval discrete-time systems in the finite familyformed by the modes of the discrete-time model.
Differential Equations – Springer Journals
Published: Dec 9, 2020
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