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The problem of deriving less conservative stability and stabilisation conditions for a class of discrete-time Markovian jump linear systems with partly unknown transition probabilities is investigated. To do so, traditional conditions under consideration are first formulated to be with homogeneous polynomial dependence on partly unknown transition probabilities, and then be converted into a finite set of linear matrix inequalities via a relaxation process that can incorporate all possible slack variables coupled with transition probabilities.
References
-
-
1)
-
1. Boukas, E.-K., Liu, Z.K.: ‘Robust H∞ control of discrete-time Markovian jump linear systems with mode-dependent time-delays’, IEEE Trans. Autom. Control, 2001, 46, pp. 1918–1924 (doi: 10.1109/9.975476).
-
2)
-
4. Zhang, L., Lam, J.: ‘Necessary and sufficient conditions for analysis and synthesis of Markov jump linear systems with incomplete transition descriptions’, IEEE Trans. Autom. Control, 2010, 55, (7), pp. 1695–1701 (doi: 10.1109/TAC.2010.2046607).
-
3)
-
2. Costa, O.L.V., Fragoso, M.D., Marques, R.P.: ‘Discrete-time Markovian jump linear systems’ (Springer-Verlag, London, 2005).
-
4)
-
3. Xionga, J., Lam, J., Gao, J., Ho, , and Daniel, W.C.: ‘On robust stabilization of Markovian jumpsystems with uncertain switching probabilities’, Automatica, 2005, 41, pp. 897–903 (doi: 10.1016/j.automatica.2004.12.001).
-
5)
-
5. Shen, M., Yang, G.-H.: ‘H2 state feedback controller design for continuous Markov jump linear systems with partly known information’, Int. J. Syst. Sci., 2012, 43, (4), pp. 786–796 (doi: 10.1080/00207721.2010.523799).
-
6)
-
6. Kim, S.H., Park, P.: ‘Networked-based robust H∞ control design using multiple levels of network traffic’, Automatica, 2009, 45, pp. 764–770 (doi: 10.1016/j.automatica.2008.10.013).
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