A Spectral Method of the Analysis of Linear Control Systems
References
- Belov, A.A. and Andrianova, O.G. (2016). Anisotropy-based suboptimal state-feedback control design using linear matrix inequalities, Automation and Remote Control77(10): 1741–1755.
- Belov, A.A. Andrianova, O.G. and Kurdyukov, A.P. (2018). Control of Discrete-Time Descriptor Systems, Springer, Cham.
- Bertsekas, D.P. (2003). Convex Analysis and Optimization, Athena Scientific, Nashua, NH.
- Boichenko, V.A. (2017). Anisotropy-based analysis for case of nonzero initial condition, Large-Scale Systems Control (67): 32–51.
- Boichenko, V.A. and Belov, A.A. (2017). On stochastic gain of linear systems with nonzero initial condition, 25th Mediterranean Conference on Control and Automation, MED 2017, Valletta, Malta, pp. 817–821.
- Boichenko, V.A. and Kurdyukov, A.P. (2016). On lower bound of anisotropic norm, IFAC-PapersOnLine49(13): 48–52.
- Boichenko, V.A. and Kurdyukov, A.P. (2017). On lower bound of anisotropic norm of the linear stochastic system, Automation and Remote Control78(4): 643–653.
- Boyd, S. and Vandenberghe, L. (2004). Convex Optimization, Cambridge University Press, Cambridge.
- Cover, T.M. and Thomas, J.A. (1991). Elements of Information Theory, Wiley, New York, NY.
- Diamond, P., Vladimirov, I.G., Kurdyukov, A.P. and Semyonov, A.V. (2001). Anisotropy-based performance analysis of linear discrete time invariant control systems, International Journal of Control74(1): 28–42.
- Gantmacher, F.R. (2000). The Theory of Matrices, AMS, Providence, RI.
- Iglesias, P.A. and Mustafa, D. (1993). State-space solution of the discrete-time minimum entropy control problem via separation, IEEE Transactions on Automatic Control38(10): 1525–1530
- Iglesias, P.A., Mustafa, D. and Glover, K. (1990). Discrete-time ℋ∞ controllers satisfying a minimum entropy criterion, Systems & Control Letters14(4): 275–286.
- Kurdyukov, A.P. Kustov, A. Yu. Tchaikovsky, M.M. and Karny, M. (2013). The concept of mean anisotropy of signals with nonzero mean, 19th International Conference on Process Control,Štrbské Pleso, Slovakia, pp. 37–41.
- Kurdyukov, A.P. and Maximov, E.A. (2005). State-space solution to stochastic ℋ∞-optimization problem with uncertainty, 16th IFAC World Congress, Prague, Czech Republic, pp. 429–434.
- Kurdyukov, A.P. Maximov, E.A. and Tchaikovsky, M.M. (2006). Homotopy method for solving anisotropy-based stochastic ℋ∞-optimization problem with uncertainty, 5th IFAC Symposium on Robust Control Design, Toulouse, France, pp. 327–332.
- Kustov, A. Yu. (2014). Anisotropy-based analysis and synthesis problems for input disturbances with nonzero mean, 15th International Carpathian Control Conference, ICCC-2014, Velké Karlovice, Czech Republic, pp. 291–295.
- Kustov, A. Yu., Kurdyukov, A.P. and Yurchenkov, A.V. (2016). On the anisotropy-based bounded real lemma formulation for the systems with disturbance-term multiplicative noise, IFAC-PapersOnLine49(13): 65–69.
- Kwakernaak, H. and Sivan, R. (1972). Linear Optimal Control Systems, Wiley, New York, NY.
- Mustafa, D. and Glover, K. (1990). Minimum Entropy ℋ∞Control, Springer, Berlin/Heidelberg.
- Poznyak, A.S. (2008). Advanced Mathematical Tools for Automatic Control Engineers, Vol. 1: Deterministic Techniques, Elsevier, Amsterdam.
- Rockafellar, R.T. (1970). Convex Analysis, Princeton University Press, Princeton.
- Semyonov, A.V., Vladimirov, I.G. and Kurdyukov, A.P. (1994). Stochastic approach to H∞-optimization, 33rd IEEE Conference on Decision and Control, Lake Buena Vista, FL, USA, pp. 2249–2250.
- Tchaikovsky, M.M. and Timin, V.N. (2017). Synthesis of anisotropic suboptimal control for linear time-varying systems on finite time horizon, Automation and Remote Control78(7): 1203–1217.
- Timin, V.N. and Kurdyukov, A.P. (2015). Anisotropy-based multicriteria time-varying filtering on finite horizon, Dok-lady Mathematics92(2): 638–642.
- Timin, V.N. and Kurdyukov, A.P. (2016). Suboptimal anisotropic filtering in a finite horizon, Automation and Remote Control77(1): 1–20.
- Vladimirov, I.G., Kurdyukov, A.P., Maksimov, E.A. and Timin, V.N. (2005). Anisotropy-based control theory—the new approach to stochastic robust control theory, 4th International Conference on System Identification and Control Problems, SICPRO’05, Moscow, Russia, pp. 29–94.
- Yurchenkov, A.V., Kustov, A. Yu. and Kurdyukov, A.P. (2016). Anisotropy-based bounded real lemma for discrete-time systems with multiplicative noise, Doklady Mathematics93(2): 1–3.
- Zhou, K., Doyle, J.C. and Glover, K. (1996). Robust and Optimal Control, Prentice Hall, Englewood Cliffs, NJ.
- Zhou, K., Glover, K., Bodenheimer, B. and Doyle, J. (1994). Mixed ℋ2 and ℋ∞ performance objectives. I: Robust performance analysis, IEEE Transactions on Automatic Control39(8): 1564–1574.
Language: English
Page range: 667 - 679
Submitted on: Jan 3, 2019
Accepted on: Aug 21, 2019
Published on: Dec 31, 2019
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
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© 2019 Alexander P. Kurdyukov, Victor A. Boichenko, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.