Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class of nonlinear systems is investigated and it is shown how the problem of model following control may be tackled using this methodology.
Słowa kluczowe
Wydawca
Rocznik
Tom
Numer
Strony
455-462
Opis fizyczny
Daty
wydano
2005
otrzymano
2005-06-01
poprawiono
2005-09-01
Twórcy
autor
- Institute of Control and Industrial Electronics, Warsaw University of Technology, 00-662 Warsaw, Poland
Bibliografia
- Corduneanu C. (1960): Application of differential inequalities to stability theory.- Analele Stiinctifice ale Universitatii 'Al. I. Cuza' din Iasi (Serie Noua). Sectiunea I (Matematica, Fizica, Chimie), Vol. VI, No. 1, pp. 47-58, (in Russian).
- Corduneanu C. (1961): Addendum to the paper Application of differential inequalities to stability theory. - Analele Stiinctifice ale Universitatii 'Al. I. Cuza' din Iasi (Serie Noua). Sectiunea I (Matematica, Fizica, Chimie), Vol. VII(2), pp. 247-252, (in Russian).
- Corduneanu C. (1964): On partial stability. - Revue Roumaine de Mathematiques Pures et Appliquees, Vol. IX(3), pp. 229-236, (in French).
- Dzieliński A. (2002a): Neural networks based NARX models in nonlinear adaptive control. - App. Math. Comput. Sci., Vol. 12, No. 2, pp. 101-106.
- Dzieliński A. (2002b): Difference inequalities and BIBO stability of approximate NARX models. - Bull. Polish Acad. Sci., Techn. Sci., Vol. 50, No. 4, pp. 295-311.
- Hahn W.(1963): Theory and Application of Liapunov's Direct Method. - Englewood Cliffs, NJ: Prentice-Hall.
- Hahn W. (1967): Stability of Motion. - New York: Springer.
- Hatvany L.(1975): On the application of differential inequalities to stability theory.- Vestnik Moskovskogo Universiteta, Vol. I30, No. 3, pp. 83-89, (in Russian).
- Lakshmikantham V.(1962a): Differential systems and extension of Lyapunov's method. - Michigan Math. J., Vol. 9, No. 4, pp. 311-320.
- Lakshmikantham V. (1962b): Notes on variety of problems of differential systems. - Arch. Rat. Mech. Anal., Vol. 10, No. 2, pp. 119-126.
- Lakshmikantham V. and Leela S. (1969a): Differential and Integral Inequalities. Theory and Applications, Vol. I: Ordinary Differential Equations. - New York: Academic Press.
- Lakshmikantham V. and Leela S. (1969b): Differential and Integral Inequalities. Theory and Applications, Vol. II: Functional, Partial, Abstract, and Complex Differential Equations. - New York: Academic Press.
- Liu X. and Siegel D., editors. (1994): Comparison Method in Stability Theory.- Amsterdam: Marcel Dekker.
- Luzin N. N. (1951): On the method of approximate integration due to academician S. A. Chaplygin. - Uspekhi matematicheskikh nauk, Vol. 6, No. 6, pp. 3-27, (in Russian).
- Makarov S. M. (1938): A generalisation of fundamental Lyapunov's theorems on stability of motion. - Izvestiya fiziko-matematicheskogo obshchestva pri Kazanskom gosudarstvennom universitete (Seriya 3), Vol. 10, No. 3, pp. 139-159, (in Russian).
- Narendra K. S. and Annaswamy A. M. (1989): Stable Adaptive Systems. - Eglewood Cliffs, NJ: Prentice-Hall.
- Pachpatte B. G. (1971): Finite-difference inequalities and an extension of Lyapunov's method. - Michigan Math. J., Vol. 18, No. 4, pp. 385-391.
- Rabczuk R. (1976): Elements of Differential Inequalities. - Warsaw: Polish Scientific Publishers, (in Polish).
- Szarski J. (1967): Differential Inequalities, 2nd Ed.. - Warsaw: Polish Scientific Publishers, (in Polish).
- Walter W. (1970): Differential and Integral Inequalities. - Berlin: Springer.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv15i4p455bwm