[PDF] Top 20 Noether's symmetry theorem for variational and optimal control problems with time delay
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Noether's symmetry theorem for variational and optimal control problems with time delay
... condition and Noether’s symmetry theorem to the time delay variational ...Lagrangian and Hamiltonian versions of Noether’s theorem are proved, cover- ing ... See full document
12
Noether's theorem for higher-order variational problems of Herglotz type
... ) and u ∈ P C([a, b]; Ω), with Ω ⊆ R r an open ...of optimal control, x and u are frequently called the state and control variables, respectively, while φ is known as the ... See full document
10
Optimal control with time delays via the penalty method
... for problems of the calculus of variations and optimal control with time delays, where the delay in the unknown function differs from the delay in its ... See full document
10
Symbolic computation of variational symmetries in optimal control
... related with the values n and m, that are fixed with a given optimal control problem, we get, even so, a quite satisfactory answer to the ...of problems, we verify that, in spite ... See full document
20
Variational and optimal control approaches for the second-order Herglotz problem on spheres
... the variational problem of Herglotz. We highlight the two Noether theorems for the first–order problem [3, 6, 7, 8] that were generalized for the Herglotz problem with time delay [9] ... See full document
16
Gauge symmetries and Noether currents in optimal control
... second Noether the- orem is related to: (i) parameter invariant variational problems, ...i.e., problems of the calculus of variations, as in the homogeneous-parametric form, which are ... See full document
9
Fractional variational problems with the Riesz-Caputo derivative
... Fractional variational calculus deals with problems of minimizing functionals that involves some fractional deriva- tives and/or fractional ...pure and applied mathematics, but also ... See full document
7
Higher-order variational problems of Herglotz type with time delay
... Emmy Noether proved two remarkable theorems that relate the invariance of a variational integral with the corresponding Euler–Lagrange ...two Noether theorems were proved in different ... See full document
18
Quadratures of Pontryagin extremals for optimal control problems
... an optimal control problem frequently requires the existence of a set of first integrals (or conser- vation laws) of the true Hamiltonian equations, and an appropriate method of ...quadratures; ... See full document
18
Optimal control of Newton-type problems of minimal resistance
... convex, and Tonelli’s di- rect method (see [10]) ...treated with the help of relaxation techniques (see [5]), although direct arguments are also possible (see [16, ...Newton-type problems, the ... See full document
17
Fractional variational problems depending on indefinite integrals and with delay
... fractional variational problems with the Lagrangian containing not only fractional integrals and fractional derivatives, but an indefinite integral as ...well. With this approach, we ... See full document
10
On first order state constrained optimal control problems
... an easy task to guarantee that the state constraint is inactive on end points. We present an example with first order state constraints where the state constraint is active on the end point and the adjoint ... See full document
6
A special class of mixed constrained optimal control problems
... on optimal control problems with mixed state and control inequality ...of problems which can be associated with an auxiliary problem with both regular mixed ... See full document
6
A new version of necessary conditions for optimal control problems with differential algebraic equations
... a control or y is seen as a component of the state ...the control is v = (y, u), with y unconstrained while u takes values in a certain control set U ...constrained optimal ... See full document
8
Necessary Conditions for Constrained Nonsmooth Fractional Optimal Control Problems
... ♠♦st s✐♥❝❡r❡ ❣r❛t✐t✉❞❡ t♦ ♠② s✉♣❡r✈✐s♦rs✱ Pr♦❢✳ ❋❡r♥❛♥❞♦ ▼❛♥✉❡❧ ❋❡rr❡✐r❛ ▲♦❜♦ P❡r❡✐r❛✱ ❋✉❧❧ Pr♦❢❡ss♦r ✐♥ t❤❡ ❉❡♣❛rt♠❡♥t ♦❢ ❊❧❡❝tr✐❝❛❧ ❛♥❞ ❈♦♠♣✉t❡r ❊♥❣✐♥❡❡r✐♥❣ ✭❉❊❊❈✱ ❛♥❞ ❙❨❙❚❊❈✮ ❛t t❤❡ ❋❛❝✉❧t② ♦❢ ... See full document
152
Variational problems for Hölderian functions with free terminal point
... new variational calculus introduced in 2011 by ...nondifferentiable variational problems with free terminal point: with and without constraints, of first and higher-order ... See full document
14
Existence results and applications for some non-linear optimal control problems
... compared with the ones obtained with CONOPT3, the package that we have utilized to solve the discretized nonlinear problem (DN LP ...of optimal solutions are shown, as it was obtained in several ... See full document
155
Discrete-time sliding mode control for uncertain networked system subject to time delay
... switching control law in order to take the states trajectory to a sliding surface, if the states used are delayed, the control law may not direct the states to this surface, which can also generate ... See full document
11
Dynamic analysis and optimal control with applications to economics
... periods and the effect of financial infection between ...identified and found confirmation that the United States was the source of financial contagion during the recent ...risks and the transfer of ... See full document
170
Optimal Control Problems for Path Planing of AUV using Simplified Models
... Optimal control problems for autonomous vehicles have long proved to be a useful tool for robotics and, in particular, to determine references trajectories to execute certain ...illustrate ... See full document
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