Optimality Criterion for Switching Systems

Bortakovskii, A. S.

doi:10.1007/s10958-016-3081-x

Cited by 1 publication

(4 citation statements)

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“…In contrast to [7], the number of switchings and switching moments are not predetermined and are subject to optimization. In this case, multiple switchings at a fixed time instant are not excluded [2][3][4]. Similar models were previously considered in the class of logical-dynamical systems [8].…”

Section: Introductionmentioning

confidence: 94%

“…) and there is no actual switching are excluded. The possible equality of successive moments in (1.1) means that the system performs instant multiple switchings [2,3].…”

Section: Problem Statementmentioning

confidence: 99%

“…For the SS under consideration, the method for constructing sufficient conditions developed for a more general model of hybrid systems is used [3]. According to this method, the value function is constructed using auxiliary functions, the so-called generators of the value function [2][3][4]. Let us define auxiliary functions for problem (1.7).…”

Section: Sufficient Optimal Conditionsmentioning

confidence: 99%

“…Switchable systems (SSs) serve as mathematical models of multimode automatic control systems for technological processes and moving objects [1][2][3][4]. The functioning of such systems is represented by continuous-discrete processes that have a heterogeneous description [4][5][6] and belong to hybrid systems (HSs).…”

Section: Introductionmentioning

confidence: 99%

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Optimization of Switchable Systems’ Trajectories

Bortakovsky

Uryupin

2021

J. Comput. Syst. Sci. Int.

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We consider the problem of trajectory optimization by a switchable system whose continuous motion is described by differential equations; and discrete state changes (switching), by recurrent inclusions. Its motion is continuously controlled by choosing the state of the discrete part of the system. The number of switchings and time of switching are not predefined. The quality of the trajectory is characterized by a functional that takes into account the costs of each switch. Together with the task of optimizing the trajectories of motion, the task of finding the minimum number of switchings at which the value of the quality functional does not exceed the given value is solved.

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Section: Introductionmentioning

confidence: 94%

“…) and there is no actual switching are excluded. The possible equality of successive moments in (1.1) means that the system performs instant multiple switchings [2,3].…”

Section: Problem Statementmentioning

confidence: 99%