Nonsmooth problems of the theory of optimization and control. (Negladkie zadachi teorii optimizatsii i upravleniya). (Russian) Zbl 0547.49001
Leningrad: ”Izdatel’stvo Leningradskogo Universiteta”. 323 p. R. 1.80 (1982).
Contents: Chapter 1. Elements of quasidifferential calculus. Chapter 2. Differentiability of multivalued mappings. Chapter 3. Methods of linearization in discrete problems of Chebyshev approximation. Chapter 4. Conditions of optimality in problems of control with a quasidifferentiable functional. Chapter 5. Minimax problems of control theory. Chapter 6. Linear control systems with incomplete information on state coordinates. Chapter 7. Identifiability of linear systems according to a minimax criterion.
MSC:
49-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control |
26B05 | Continuity and differentiation questions |
49K35 | Optimality conditions for minimax problems |
28A15 | Abstract differentiation theory, differentiation of set functions |
41A50 | Best approximation, Chebyshev systems |
49K10 | Optimality conditions for free problems in two or more independent variables |
90C30 | Nonlinear programming |
93C05 | Linear systems in control theory |
93B30 | System identification |