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Discrete & Continuous Dynamical Systems - A

April 2011 , Volume 29 , Issue 2

Special Issue on Control, Nonsmooth Analysis and Optimization
Celebrating the 60th Birthday of Francis Clarke and Richard Vinter

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Preface
Maria do Rosário de Pinho, M. Margarida Amorim Ferreira, Fernando A. C. C. Fontes, Fernando L. Pereira, Georgi Smirnov and Delfim F. M. Torres
2011, 29(2): i-ii doi: 10.3934/dcds.2011.29.2i +[Abstract](976) +[PDF](6552.7KB)
On a generalization of the impulsive control concept: Controlling system jumps
Aram Arutyunov, Dmitry Karamzin and Fernando L. Pereira
2011, 29(2): 403-415 doi: 10.3934/dcds.2011.29.403 +[Abstract](1160) +[PDF](381.3KB)
Necessary optimality conditions for fractional difference problems of the calculus of variations
Nuno R. O. Bastos, Rui A. C. Ferreira and Delfim F. M. Torres
2011, 29(2): 417-437 doi: 10.3934/dcds.2011.29.417 +[Abstract](2173) +[PDF](509.9KB)
Existence of minimizers for nonautonomous highly discontinuous scalar multiple integrals with pointwise constrained gradients
Luís Balsa Bicho and António Ornelas
2011, 29(2): 439-451 doi: 10.3934/dcds.2011.29.439 +[Abstract](955) +[PDF](611.0KB)
Semiconcavity of the value function for a class of differential inclusions
Piermarco Cannarsa and Peter R. Wolenski
2011, 29(2): 453-466 doi: 10.3934/dcds.2011.29.453 +[Abstract](1131) +[PDF](347.7KB)
The DuBois-Reymond differential inclusion for autonomous optimal control problems with pointwise-constrained derivatives
Clara Carlota and António Ornelas
2011, 29(2): 467-484 doi: 10.3934/dcds.2011.29.467 +[Abstract](1082) +[PDF](438.1KB)
A general theorem on necessary conditions in optimal control
Francis Clarke
2011, 29(2): 485-503 doi: 10.3934/dcds.2011.29.485 +[Abstract](1117) +[PDF](433.6KB)
Lipschitz continuity of optimal control and Lagrange multipliers in a problem with mixed and pure state constraints
Maria do Rosário de Pinho and Ilya Shvartsman
2011, 29(2): 505-522 doi: 10.3934/dcds.2011.29.505 +[Abstract](991) +[PDF](374.1KB)
Quadratic order conditions for an extended weak minimum in optimal control problems with intermediate and mixed constraints
Andrei V. Dmitruk and Alexander M. Kaganovich
2011, 29(2): 523-545 doi: 10.3934/dcds.2011.29.523 +[Abstract](971) +[PDF](400.2KB)
Regularity of minimizers for second order variational problems in one independent variable
Christos Gavriel and Richard Vinter
2011, 29(2): 547-557 doi: 10.3934/dcds.2011.29.547 +[Abstract](996) +[PDF](337.1KB)
On constraint qualifications for nondegenerate necessary conditions of optimality applied to optimal control problems
Sofia O. Lopes, Fernando A. C. C. Fontes and Maria do Rosário de Pinho
2011, 29(2): 559-575 doi: 10.3934/dcds.2011.29.559 +[Abstract](1326) +[PDF](723.3KB)
Euler-Lagrange equations for composition functionals in calculus of variations on time scales
Agnieszka B. Malinowska and Delfim F. M. Torres
2011, 29(2): 577-593 doi: 10.3934/dcds.2011.29.577 +[Abstract](1084) +[PDF](429.3KB)
Generalized solutions to nonlinear stochastic differential equations with vector--valued impulsive controls
Monica Motta and Caterina Sartori
2011, 29(2): 595-613 doi: 10.3934/dcds.2011.29.595 +[Abstract](888) +[PDF](446.9KB)
Generalized exterior sphere conditions and $\varphi$-convexity
Chadi Nour, Ron J. Stern and Jean Takche
2011, 29(2): 615-622 doi: 10.3934/dcds.2011.29.615 +[Abstract](1032) +[PDF](487.9KB)
$V$-Jacobian and $V$-co-Jacobian for Lipschitzian maps
Zsolt Páles and Vera Zeidan
2011, 29(2): 623-646 doi: 10.3934/dcds.2011.29.623 +[Abstract](1140) +[PDF](492.6KB)
Numerical procedure for optimal control of higher index DAEs
Radoslaw Pytlak
2011, 29(2): 647-670 doi: 10.3934/dcds.2011.29.647 +[Abstract](1068) +[PDF](431.8KB)
Subdifferentials of convex functions on time scales
Małgorzata Wyrwas, Dorota Mozyrska and Ewa Girejko
2011, 29(2): 671-691 doi: 10.3934/dcds.2011.29.671 +[Abstract](1116) +[PDF](259.9KB)

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