This work presents overviews of Soviet research on nonlinear dynamics, particularly as applied to uncertain systems in a deterministic setting. The book concentrates on the three main branches of uncertain dynamics: differential games; evolution, estimation and control; and robust stabilization.
The decomposition of controlled dynamic systems, F.L. Chernousko; a differential game for the minimax of a positional functional, N.N. Krasovski and A.N. Krasovski; global methods in optimal control theory, V.F. Krotov; on the theory of trajectory tubes - a mathematical formalism for uncertain dynamics, viability and control, A.B. Kurzhanski and T.F. Filippova; a theory of generalized solutions to first-order PDEs with an emphasis on differential games, A.I. Subbotin; adaptivity and robustness in automatic control systems, Ya Z. Tsypkin.