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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 23 (1977), S. 593-605 
    ISSN: 1573-2878
    Keywords: Dual variational principles ; corner conditions ; second variation ; regulator problem ; linear neutral functional differential equations ; lower and upper bounds
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We study dual or complementary variational principles for functionals with deviating argument and discontinuous extremals. Local conditions for the existence of a pair of dual extremum principles are given. Results are then applied to the control problem involving linear neutral differential-difference equations.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 29 (1979), S. 215-229 
    ISSN: 1573-2878
    Keywords: Periodic optimal control ; second variation ; sufficient conditions ; proper performance improvement ; normality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We study a second-variation sufficient condition for proper system performance improvement by periodic control. The theory of optimal control developed by Hestenes is adapted to the present situation. Central to our development is the concept of normality which is overlooked by earlier investigators. Relationship with their results in this respect is discussed in terms of illustrative examples.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 76 (1993), S. 131-144 
    ISSN: 1573-2878
    Keywords: Calculus of variations ; delayed arguments ; sufficient conditions ; Riccati differential inequality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Various first-order and second-order sufficient conditions of optimality for calculus of variations problems with delayed argument are formulated. The cost functionals are not required to be convex. A second-order sufficient condition is shown to be related to the existence of solutions of a Riccati-type matrix differential inequality.
    Type of Medium: Electronic Resource
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