An algorithm for approximate calculation of the attainable sets of the nonlinear control systems with integral constraint on controls

DOI10.1016/j.camwa.2011.06.032zbMath1231.93011OpenAlexW2048318772MaRDI QIDQ660819

Khalik G. Guseinov, Ali S. Nazlipinar

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.06.032

zbMATH Keywords

numerical methodsnonlinear control systemsattainable setintegral constraintbiological system

Mathematics Subject Classification ID

Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15) Numerical problems in dynamical systems (65P99)

Related Items (4)

Attainable set of a \textit{SIR} epidemiological model with constraints on vaccination and treatment stocks ⋮ Approximations of the images and integral funnels of the \(L_p\) balls under a Urysohn-type integral operator ⋮ Approximation of the Set of Integrable Trajectories of the Control Systems with Limited Control Resources ⋮ APPROXIMATION OF THE SECTIONS OF THE SET OF TRAJECTORIES OF THE CONTROL SYSTEM DESCRIBED BY A NONLINEAR VOLTERRA INTEGRAL EQUATION

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