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71.
To avoid the unstable phenomena caused by time delays and perturbations, we investigate the sufficient conditions to ensure the global exponential robust stability with a convergence rate for the reaction-diffusion neural networks with S-type distributed delays. Because S-type distributed delays lead to some difficulty, we also introduce a new generalized Halanay inequality and a novel method-system-approximation method into the qualitative research of neural networks. Moreover, the sufficient criteria provided here, which are rather accessible and feasible, have wider adaptive range. 相似文献
72.
Chun-fa Li Xue Yang En-min Feng 《应用数学学报(英文版)》2008,24(1):29-40
In this paper, an optimal control problem governed by semilinear parabolic equation which involves the control variable acting on forcing term and coefficients appearing in the higher order derivative terms is formulated and analyzed. The strong variation method, due originally to Mayne et al to solve the optimal control problem of a lumped parameter system, is extended to solve an optimal control problem governed by semilinear parabolic equation, a necessary condition is obtained, the strong variation algorithm for this optimal control problem is presented, and the corresponding convergence result of the algorithm is verified. 相似文献
73.
74.
Using a risk-based approach to project scheduling: A case illustration from semiconductor manufacturing 总被引:1,自引:0,他引:1
Ascensin Zafra-Cabeza Miguel A. Ridao Eduardo F. Camacho 《European Journal of Operational Research》2008,190(3):708-723
This paper introduces a risk-based optimization method to schedule projects. The method uses risk mitigation and optimal control techniques to minimize variables such as the project duration or the cost estimate at completion. Mitigation actions reduce the risk impacts that may affect the system. A model predictive control approach is used to determine the set of mitigation actions to be executed and the time in which they are taken. A real-life project in the field of semiconductor manufacturing has been taken as an example to show the benefits of the method in a deterministic case and a Monte Carlo simulation has also been carried out. 相似文献
75.
76.
We consider a steady-state heat conduction problem P
α
with mixed boundary conditions for the Poisson equation depending on a positive parameter α , which represents the heat transfer coefficient on a portion Γ
1
of the boundary of a given bounded domain in R
n
. We formulate distributed optimal control problems over the internal energy g for each α . We prove that the optimal control g_ op
α
and its corresponding system u_ g_ op
α
α and adjoint p_ g_ op
α
α states for each α are strongly convergent to g
op
, u_ g
op
and p _ g
op
, respectively, in adequate functional spaces. We also prove that these limit functions are respectively the optimal control,
and the system and adjoint states corresponding to another distributed optimal control problem for the same Poisson equation
with a different boundary condition on the portion Γ
1
. We use the fixed point and elliptic variational inequality theories. 相似文献
77.
P. K. C. Wang 《Journal of Optimization Theory and Applications》1990,65(2):331-362
This paper considers the problem of the stabilization and control of distributed systems with time-dependent spatial domains. The evolution of the spatial domains with time is described by a finite-dimensional system of ordinary differential equations, while the distributed systems are described by first-order or second-order linear evolution equations defined on appropriate Hilbert spaces. First, results pertaining to the existence and uniqueness of solutions of the system equations are presented. Then, various optimal control and stabilization problems are considered. The paper concludes with some examples which illustrate the application of the main results.This work was supported by the Air Force Office of Scientific Research, Grant No. AFOSR 86-0132, by the National Science Foundation, Grant No. 87-18473, and by the Jet Propulsion Laboratory, Pasadena, California. 相似文献
78.
79.
80.
Vibration reduction in a flexible-link mechanism through synthesis of an optimal controller 总被引:1,自引:0,他引:1
In this paper, reduction of vibration of a flexible planar mechanism is achieved through synthesis of an optimal controller.
A finite element model, based on the equivalent rigid-link system theory, is used to accurately describe the dynamic behavior
of the system. The model, which accounts for geometric and inertial nonlinearities of the mechanism, has been fully validated
through experimental tests. In order to be able to employ the classical optimal control theory, a suitable linear model has
been derived from the original one by means of a suitable linearization procedure. Vibration reduction can then be obtained
by first defining an adequate performance index, which accounts for vibration amplitude, then by solving Riccati’s equation
in order to find the controller that minimizes the performance index, i.e. the optimal controller. The results of several
tests that have been carried out are also reported, to show the effectiveness of the synthesized control system. 相似文献