Solution of discrete matrix lyapunov and riccati equations and their generalizations

DOI10.1007/BF01078249zbMath0472.65033OpenAlexW1984623499MaRDI QIDQ3925799

M. M. Lychak, Vsevolod M. Kuntsevich

Publication date: 1980

Published in: Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01078249

zbMATH Keywords

Lyapunov equationRiccati equationdiscrete control systemsdiscrete matrix equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10)

Cites Work

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• Synthesis of optimal and suboptimal discrete control systems for deterministic and stochastic objects by means of Lyapunov functions
• Synthesis of discrete control systems with continuous modulus-constrained perturbations
• Game problem of control and synthesis of suboptimal discrete control systems of a class of nonlinear plants
• Synthesis of optimal nonlinear discrete control systems with feedback
• Optimal control of linear multivariable systems with quadratic performance index, and the inverse optimal control problem

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