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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