Preview
Unable to display preview. Download preview PDF.
References
Byrnes, C. I., Isidori, A., Willems, J. C., 1991, Passivity, feedback equivalence, and global stabilization of minimum phase nonlinear systems, IEEE Transactions on Automatic Control, 36(11), 1228–1240.
Doyle, J. C., 1982, Analysis of feedback systems with structured uncertainty, IEEE Proceedings Part D, 129(6), 242–250.
Hill, D., Moylan, P., 1976, The stability of nonlinear dissipative systems, IEEE Transactions on Automatic Control, 21, 708–711.
Hill, D., Moylan, P., 1977, Stability results for nonlinear feedback systems, Automatica, 13, 377–382.
Hill, D., Moylan, P., 1980, Dissipative dynamical systems: Basic input-output and state properties, Journal of the Franklin Institute, 309, 327–357.
Khammash, M., Pearson, J. B., 1993, Analysis and design for robust performance with structured uncertainty, Systems and Control Letters, 20(3), 179–188.
Megretsky, A., 1993, Necessary and sufficient conditions of stability: A multiloop generalization of the circle criterion, IEEE Transactions on Automatic Control, 38(5), 753–756.
Megretsky, A., Treil, S., 1993, Power distribution inequalities in optimization and robustness of uncertain systems, Journal of Mathematical Systems, Estimation and Control, 3(3), 301–319.
Rockafellar, R. T., 1970, Convex Analysis, Princeton University Press, Princeton, NJ.
Safonov, M. G., 1982, Stability margins of diagonally perturbed multivariable feedback systems, IEE Proceedings Part D, 129(6), 251–256.
Savkin, A. V., Petersen, I. R., 1994, A connection between H ∞ control and the absolute stabilizability of uncertain systems, Systems and Control Letters, 23(3), 197–203.
Savkin, A. V., Petersen, I. R., 1995a, Minimax optimal control of uncertain systems with structured uncertainty, International Journal of Robust and Nonlinear Control, 5(2), 119–137.
Savkin, A. V., Petersen, I. R., 1995b, Nonlinear versus linear control in the absolute stabilizability of uncertain linear systems with structured uncertainty, IEEE Transactions on Automatic Control, 40(1), 122–127.
Shamma, J. S., 1992, Robustness analysis for time-varying systems, Proceedings IEEE Conference on Decision and Control, Tucson, Arizona.
Uhlig, F., 1979, A recurring theorem about pairs of quadratic forms and extensions: A survey, Linear Algebra and its Applications, 25, 219–237.
Willems, J. C., 1972, Dissipative dynamical systems—part I: General theory, Archive of Rational Mechanics and Analysis, 45, 321–351.
Yakubovich, V. A., 1971, S-procedure in nonlinear control theory, Vestnik Leningrad University, Series 1, 13(1), 62–77.
Yakubovich, V. A., 1973, Minimization of quadratic functionals under the quadratic constraints and the necessity of a frequency condition in the quadratic criterion for absolute stability of nonlinear control systems, Soviet Mathematics Doklady, 14, 593–597.
Yakubovich, V. A., 1988a, Absolute stability of nonlinear systems with a periodically nonstationary linear part, Soviet Physics Doklady, 32(1), 5–7.
Yakubovich, V. A., 1988b, Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part, Systems and Control Letters, 11(3), 221–228.
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag London Limited
About this paper
Cite this paper
Savkin, A.V., Petersen, I.R. (1996). Structured dissipativity and absolute stability of nonlinear systems. In: Garofalo, F., Glielmo, L. (eds) Robust Control via Variable Structure and Lyapunov Techniques. Lecture Notes in Control and Information Sciences, vol 217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027571
Download citation
DOI: https://doi.org/10.1007/BFb0027571
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-76067-2
Online ISBN: 978-3-540-40946-5
eBook Packages: Springer Book Archive