Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances

DOI10.1134/S0005117912010067zbMath1307.93240OpenAlexW2030054965WikidataQ57498565 ScholiaQ57498565MaRDI QIDQ2261683

Alexei V. Kuntsevich, Vsevolod M. Kuntsevich

Publication date: 13 March 2015

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117912010067

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Perturbations in control/observation systems (93C73)

Related Items (4)

Control of a family of nonlinear dynamic systems under measurements with bounded disturbances ⋮ Developing B. N. Pshenichnyi's scientific ideas in optimization and mathematical control theory ⋮ Ultimate Bounds and Robust Invariant Sets for Linear Systems with State-Dependent Disturbances ⋮ Generation of stable limit cycles in nonlinear sandwich systems with dead-zone nonlinearity and input saturation

Uses Software

• SolvOpt

Cites Work

• Stability in the domain of nonlinear difference inclusions
• An implementation of Shor's \(r\)-algorithm
• Rejection of bounded exogenous disturbances by the method of invariant ellipsoids
• Linear Matrix Inequalities in System and Control Theory
• Set-theoretic methods in control

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