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Agnieszka Prusińska, Alexey Tret'yakov (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
We investigate the existence of the solution to the following problem min φ(x) subject to G(x)=0, where φ: X → ℝ, G: X → Y and X,Y are Banach spaces. The question of existence is considered in a neighborhood of such point x₀ that the Hessian of the Lagrange function is degenerate. There was obtained an approximation for the distance of solution x* to the initial point x₀.
Rincon, A., Liu, I-Shih (2003)
Divulgaciones Matemáticas
Ira Neitzel, Fredi Tröltzsch (2009)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we study Lavrentiev-type regularization concepts for linear-quadratic parabolic control problems with pointwise state constraints. In the first part, we apply classical Lavrentiev regularization to a problem with distributed control, whereas in the second part, a Lavrentiev-type regularization method based on the adjoint operator is applied to boundary control problems with state constraints in the whole domain. The analysis for both classes of control problems is investigated and...
Ira Neitzel, Fredi Tröltzsch (2008)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we study Lavrentiev-type regularization concepts for linear-quadratic parabolic control problems with pointwise state constraints. In the first part, we apply classical Lavrentiev regularization to a problem with distributed control, whereas in the second part, a Lavrentiev-type regularization method based on the adjoint operator is applied to boundary control problems with state constraints in the whole domain. The analysis for both classes of control problems is investigated and...
Jaroslav Doležal, Jiří Fidler (1979)
Kybernetika
Jaroslav Doležal, Jiří Fidler (1978)
Kybernetika
K. Glashoff, E. Sachs (1977/1978)
Numerische Mathematik
Grigorieva, Ellina V., Khailov, Evgenii N. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Ram V. Iyer, Raymond Holsapple, David Doman (2006)
ESAIM: Control, Optimisation and Calculus of Variations
The motivation for this work is the real-time solution of a standard optimal control problem arising in robotics and aerospace applications. For example, the trajectory planning problem for air vehicles is naturally cast as an optimal control problem on the tangent bundle of the Lie Group which is also a parallelizable riemannian manifold. For an optimal control problem on the tangent bundle of such a manifold, we use frame co-ordinates and obtain first-order necessary conditions employing calculus...
Ram V. Iyer, Raymond Holsapple, David Doman (2005)
ESAIM: Control, Optimisation and Calculus of Variations
The motivation for this work is the real-time solution of a standard optimal control problem arising in robotics and aerospace applications. For example, the trajectory planning problem for air vehicles is naturally cast as an optimal control problem on the tangent bundle of the Lie Group SE(3), which is also a parallelizable Riemannian manifold. For an optimal control problem on the tangent bundle of such a manifold, we use frame co-ordinates and obtain first-order necessary conditions...
Florent Delmotte, Erik I. Verriest, Magnus Egerstedt (2008)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper, we solve an optimal control problem using the calculus of variation. The system under consideration is a switched autonomous delay system that undergoes jumps at the switching times. The control variables are the instants when the switches occur, and a set of scalars which determine the jump amplitudes. Optimality conditions involving analytic expressions for the partial derivatives of a given cost function with respect to the control variables are derived using the calculus of variation....
Mohamad Jamshidi, Mohsen Razzaghi (1975)
Kybernetika
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