In this paper, an attempt has been made to unify the study of the qualitative and quantitative analysis of systems in a general set up so as to broaden the outlook and applicability of Lyapunov’s second method. Some new notions of quasi-invariant sets are also introduced, which play an important role in application to control theory and differential games.
V. Lakshmikantham —S. Leela,Differential and Integral Inequalities, Theory and Applications, vol. I, Academic Press, New York, 1969.
V. Lakshmikantham —S. Leela,Global results and stability of motion, to appear in the Proc. Cambridge Phil. Soc. (1971).
N. M. Anthony:Quantitative naalysis of systems: stability boundedness and trajectory behavior, Arch. Rational Mech. Anal.,38 (1970), pp. 107–122.
N. Rouche — Phien Dang-Chau,Stabilité densembles pour des equations differentielles ordinaires, rapport no. 37, september 1970, Seminaires de mathématique appliquée et mécanique, Institute de Mathématique pure et appliquée, Université Catholique de Louvain (Belgique).
Entrata in Redazione il 29 agosto 1971.
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Ladde, G.S., Leela, S. Analysis of invariant sets. Annali di Matematica 94, 283–289 (1972). https://doi.org/10.1007/BF02413615
- Quantitative Analysis
- Differential Game