Improvement of the control realizing the sliding mode

Гурман, В. И.; Трушкова, Е. А.; Ukhin, M. Yu.

doi:10.1134/s0005117908030144

Cited by 2 publications

(3 citation statements)

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“…Eliminate the differential equations in k z , k d and θ from the system (1)- (6). Controls u and z are supposed unbounded, u d = 0, d = 0, C(θ) = const = C(θ(t I )), A(θ) = const = A(θ(t I )), B z = 0, D = 0, and D z = 0.…”

Section: Searching For the Turnpike Solutionmentioning

confidence: 99%

“…For the model (1)-(6), the intricacies lie in (a) the procedure of choosing the weight coefficients when adding penalty terms in the goal function and (b) evaluation of the partial derivatives matrices f u and f x (due to the nonlinear character of the original model (1)- (6)). To overcome the first intricacy in PC ISCON, the authors [5][6][7] suggested rather universal procedure of weight coefficients choice during addition of penalty terms at each iteration of the improvement algorithm. The partial derivatives matrices were derived analytically.…”

Section: Sequential Improvement Of Controlmentioning

confidence: 99%

“…The ecological-social sector is characterized by 8 aggregated indices. The total dimensions of the dynamic system (7), which corresponds to the constructed socio-ecological-economic model (1)- (6), have been equal to n = 3551 and p = 3588. In other words, the resulting model describes the dynamics of 3551 quantities under the influence of 3588 controls.…”

Section: Test Computationsmentioning

confidence: 99%

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The socio-ecological-economic model of a region in parallel computing

Гурман

Matveev

Трушкова

2013

Autom Remote Control

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The problems of effective use of secondary resources, as well as the overall problem of managing them at the level of the national economy in the context of separate sectors and enterprises remain relevant for countries with transition economy for more than a quarter of a century. However, in the context of management situations modeling, including those with regard to more efficient use of secondary resources, the issue, mentioned above, requires further actualization and its solutions. The article discloses an ecological approach to the study of socioeconomic relations, in particular to the manufacturing processes. It is shown that the scale of use of the environment and the structure of the industrial production established in Ukraine placed it among the countries with the highest absolute and specific indicators of formation and accumulation of toxic waste; a situation with them remains critical today. As a tool for issues optimization associated with the secondary resources and waste, the industry model is considered, in which the criterion of an optimality is the maximum excess of the economic result over the costs for the use of secondary raw materials and the elimination of social, ecological and economic damage due to waste generation. It is proved that the protection of the environment and public health from the negative impact of waste is an urgent task and a priority principle of the policy on the way of sustainable development of the state. The socio-ecological modification of economic-mathematical model of secondary resources management is proposed: environmental effect is represented as the value of prevented damage from environmental waste pollution; social effect is represented as the sum of the effects from improving the utilization of the labor force due to the reduced morbidity from social insurance savings and reduction of costs in healthcare.

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Section: Searching For the Turnpike Solutionmentioning

confidence: 99%

Section: Sequential Improvement Of Controlmentioning

confidence: 99%

Section: Test Computationsmentioning

confidence: 99%

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