Abstract
Sufficient conditions for the existence of stabilizing controllers are established for switched interval linear systems. In particular, the condition for the existence of a static state feedback stabilizer is reduced to the solvability of a system of linear matrix inequalities for a switched interval system with modes of various orders, and the condition for the existence of a digital stabilizing dynamic output feedback controller is stated in terms of the solvability of a system of nonlinear matrix inequalities for a switched interval system with slow switching.
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REFERENCES
Fursov, A.S., Mosolova, Yu.M., and Minyaev, S.I., Construction of stabilization systems for switched interval plants with modes of different orders, Differ. Equations, 2021, vol. 57, no. 11, pp. 1536–1544.
Fursov, A.S., Minyaev, S.I., and Mosolova, Yu.M., Synthesis of a digital output controller for a switched interval linear system, Differ. Equations, 2019, vol. 55, no. 11, pp. 1503–1517.
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This work was supported by the Russian Science Foundation, project no. 22-21-00162.
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Translated by V. Potapchouck
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Fursov, A.S., Mosolova, Y.M. Sufficient Conditions for the Existence of Stabilizing Controllers for Switched Interval Systems. Diff Equat 58, 535–545 (2022). https://doi.org/10.1134/S0012266122040097
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DOI: https://doi.org/10.1134/S0012266122040097