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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Attainability Domains for Linear and Some Classes of Nonlinear Discrete Systems and Their Control

Volume 42, Issue 1, 2010, pp. 1-18
DOI: 10.1615/JAutomatInfScien.v42.i1.10
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ABSTRACT

We calculate the exact boundaries of attainability domain for nonstationary linear and some classes of nonlinear discrete systems under bounded parametric (multiplicative) and additive disturbances. The proposed algorithm of solving this problem admits efficient parallelization of computations. We also provide a solution to the synthesis problem stated as minimization of a scalar function which is a distance between the center of attainability domain and the origin of coordinates. One can find the examples illustrating application of the suggested algorithms to solution of these two problems.

CITED BY
  1. Larin V. B., Apostolyuk A. S., Identification of linear time-invariant systems, International Applied Mechanics, 47, 6, 2011. Crossref

  2. Kostousova E. K., On the polyhedral method of solving problems of control strategy synthesis, Proceedings of the Steklov Institute of Mathematics, 292, S1, 2016. Crossref

  3. Kostousova Elena K., External polyhedral estimates of reachable sets of linear and bilinear discrete-time systems with integral bounds on additive terms, 2018 14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) (STAB), 2018. Crossref

  4. Kostousova Elena K., On Target Control Synthesis Under Set-Membership Uncertainties Using Polyhedral Techniques, in System Modeling and Optimization, 443, 2014. Crossref

  5. Kostousova Elena K., State Estimates of Bilinear Discrete-Time Systems with Integral Constraints through Polyhedral Techniques, IFAC-PapersOnLine, 51, 32, 2018. Crossref

  6. Kostousova Elena K., On Control Synthesis for Uncertain Differential Systems Using a Polyhedral Technique, in Large-Scale Scientific Computing, 8353, 2014. Crossref

  7. Kostousova Elena K., State Estimation for Control Systems with a Multiplicative Uncertainty through Polyhedral Techniques, in System Modeling and Optimization, 391, 2013. Crossref

  8. Kostousova Elena K., On Polyhedral Estimates for Trajectory Tubes of Differential Systems with a Bilinear Uncertainty, in Differential and Difference Equations with Applications, 47, 2013. Crossref

  9. Kostousova E. K., On polyhedral estimates for reachable sets of discrete-time systems with bilinear uncertainty, Automation and Remote Control, 72, 9, 2011. Crossref

  10. Kostousova Elena K., External polyhedral estimates of reachable sets of discrete-time systems with integral bounds on additive terms, Mathematical Control & Related Fields, 11, 3, 2021. Crossref

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