Invariant stabilization of a certain class of functional differential equations

DOI10.3103/S1063454110020068zbMath1264.34152OpenAlexW1969128456MaRDI QIDQ1759553

Arkadiĭ Khaimovich Gelig, Irina Efremovna Zuber

Publication date: 21 November 2012

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454110020068

zbMATH Keywords

Lyapunov functionstabilizationfunctional differential equation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Control problems for functional-differential equations (34K35)

Cites Work

• Stability of indefinite systems
• Universal regulators in invariance and tracking problems
• Design of stabilizing controllers that ensure that the output variable of a control system is independent of the external action.
• Global stabilization of nonlinear systems by quadratic Lyapunov functions
• Approximate solution to the problem of the invariance of a control system
• The problem of absolute invariance of a linear discrete-time control system
• Synthesis of an adaptive regulator in the stabilization of an uncertain discrete linear system

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