Feedback and impulse behavior of differential-algebraic equations

DOI10.1134/S0001434621090303zbMath1478.93212OpenAlexW3209592757WikidataQ115253645 ScholiaQ115253645MaRDI QIDQ2666633

Alla Arkad'evna Shcheglova

Publication date: 23 November 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621090303

zbMATH Keywords

feedbackdifferential-algebraic equationsgeneralized solutionexclusion of impulse terms

Mathematics Subject Classification ID

Feedback control (93B52) Linear systems in control theory (93C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Control/observation systems governed by ordinary differential equations (93C15) Impulsive control/observation systems (93C27)

Cites Work

• The solvability of the initial problem for a degenerate linear hybrid system with variable coefficients
• Singular control systems
• Controllability of differential-algebraic equations in the class of impulse effects
• State feedback impulse elimination of linear time-varying singular systems
• Stability of an interval family of differential-algebraic equations
• Feedback elimination of impulse terms from the solutions of differential-algebraic equations
• A generalized state-space for singular systems
• State Feedback Impulse Elimination for Singular Systems over a Hermite Domain
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