This paper focuses on the solution of the optimal diversity management problem formulated as a p-Median problem. The problem is solved for very large scale real instances arising in the car industry and defined on a g...
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作者：
Buldaev, A.S.Ulan-Ude
Filiation from Institute for System Dynamics and Control Theory of Siberian Branch of RAS Russia
An iteration method for finding the control, which satisfies the necessary optimality condition, in the main problem of optimal control is proposed. This method has been applied for solving a system of functional equa...
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作者：
A.S. BuldaevUlan-Ude
Filiation from Institute for System Dynamics and Control Theory of Siberian Branch of RAS
An iteration method for finding the control, which satisfies the necessary optimality condition, in the main problem of optimal control is proposed. This method has been applied for solving a system of functional equa...
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An iteration method for finding the control, which satisfies the necessary optimality condition, in the main problem of optimal control is proposed. This method has been applied for solving a system of functional equations in the space of controls, which is constructed on the basis of the necessary optimality condition with the use of the operation of projection on the set of admissible values of control. In order to ground the method, elements of the theory of perturbations have been applied.
The problem of programmed control of the spacecraft attitude, including in worstcase situations of on-board equipment failures, is considered. During a programmed reorientation (traditionally, by solving an inverse pr...
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The problem of programmed control of the spacecraft attitude, including in worstcase situations of on-board equipment failures, is considered. During a programmed reorientation (traditionally, by solving an inverse problem of dynamics) there arise singular states of the gyrosystem that interrupt the process and require additional resources to reconfigure the gyroscope frames. A technique is proposed, which is not subject to these drawbacks, does not need an a priori specification of the phase trajectory and is based on a sequential linearization and controllability of the system. To ensure fault-tolerance of the control, a new method of knowledge-based control is suggested, which relies on an original, high-performance logical formalism and an advanced architecture of logic-dynamic control. Example of the application of methods of fault-tolerance control is considered.
We study the long term asymptotic behavior of attainable sets and their shapes of linear time-invariant impulse controlsystems. We give an exhaustive description of attractors arising and the related dynamics. The re...
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This work studies the issue of optimal output transition control for nonlinear flat differential systems with constraints. Of special interest here is to generate a state reference trajectory and a feedforward input c...
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This work studies the issue of optimal output transition control for nonlinear flat differential systems with constraints. Of special interest here is to generate a state reference trajectory and a feedforward input command, which are essential for the implementation of exact feedforward linearization. Our approach is to transfer the transition problem in the real output space into a trajectory planning issue in the flat output space. The new aspect of this idea in our approach is to involve the generation of a noncausal trajectory for the flat output. This novelty turns out to be considerably effective for the performance improvement. It is also remarkable that our methodology guarantees the planned trajectories feasible for all nonlocal transitions. This is a new contribution to noncausal output transition control of nonlinear systems. The proposed method is illustrated on a benchmark system, the ICSTR, although its applicability could be much more wider.
We study the long term asymptotic behavior of attainable sets and their shapes of linear time-invariant impulse controlsystems. We give an exhaustive description of attractors arising and the related dynamics. The re...
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We study the long term asymptotic behavior of attainable sets and their shapes of linear time-invariant impulse controlsystems. We give an exhaustive description of attractors arising and the related dynamics. The results are compared with [4], [3].
In a separable Hilbert space we consider an evolution inclusion with a multivalued perturbation and evolution operators that are subdifferentials of a proper convex lower semicontinuous function depending on time. Alo...
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In a separable Hilbert space we consider an evolution inclusion with a multivalued perturbation and evolution operators that are subdifferentials of a proper convex lower semicontinuous function depending on time. Along with the original inclusion, we consider a sequence of approximating evolution inclusions with the same perturbation and the evolution operators that are subdifferentials of the Moreau-Yosida regularizations of the original function. We show that the attainable set of the original inclusion, regarded as a multivalued function of time, is the uniform (in time) limit in the Hausdorff metric of the sequence of attainable sets of the approximating inclusions. As an application we consider an example of a controlsystem with discontinuous nonlinearity.
We prove invariance of the fast diffusion equation in the two-dimensional coordinate space and give its reduction to a one-dimensional analog in the space variable. Using these results, we construct new exact multidim...
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We prove invariance of the fast diffusion equation in the two-dimensional coordinate space and give its reduction to a one-dimensional analog in the space variable. Using these results, we construct new exact multidimensional solutions which depend on arbitrary harmonic functions. As a consequence, we obtain new exact solutions to the well-known Liouville equation, the stationary analog of the fast diffusion equation with a linear source. We consider some generalizations to the case of systems of quasilinear parabolic equations.
In this paper some class of nonlinear differential-algebraic equations of high index is considered. For the numerical solution of this problem the family of multistep, multistage difference schemes of high order is pr...
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