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A survey of viability theory. (English) Zbl 0714.49021

49J52 Nonsmooth analysis
93C10 Nonlinear systems in control theory
26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
49-02 Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control
93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
26A51 Convexity of real functions in one variable, generalizations
26E25 Set-valued functions
28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections
28D05 Measure-preserving transformations
34A60 Ordinary differential inclusions
34Dxx Stability theory for ordinary differential equations
39Axx Difference equations
54C60 Set-valued maps in general topology
54C65 Selections in general topology
58C06 Set-valued and function-space-valued mappings on manifolds
58C07 Continuity properties of mappings on manifolds
58C30 Fixed-point theorems on manifolds
93C15 Control/observation systems governed by ordinary differential equations
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
Zbl 0538.34007
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