Stabilization of deterministic and stochastic-parameter discrete systems

DOI10.1080/00207178508933344zbMath0569.93067OpenAlexW1965083998MaRDI QIDQ3688290

Engin Yaz

Publication date: 1985

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178508933344

zbMATH Keywords

stabilizationLyapunov's second methodalmost sure asymptotic and mean-square exponential stabilitydeterministic- and stochastic-parameter linear multivariable discrete-time systemsmoving-horizon control approach

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Stochastic stability in control theory (93E15)

Related Items (11)

Optimal, stabilizing control of a stochastic system driven by randomly correlated noise ⋮ A Q-Learning Algorithm for Discrete-Time Linear-Quadratic Control with Random Parameters of Unknown Distribution: Convergence and Stabilization ⋮ Relationships between several novel control schemes proposed for a class of non-linear stochastic systems ⋮ Further results on stabilizing controllers for discrete non-linear stochastic systems ⋮ Observer design for stochastic-parameter systems ⋮ Stabilizing compensator design for discrete-time non-linear stochastic systems with incomplete state information ⋮ Dynamic feedback control of stochastic-parameter systems ⋮ Sliding-horizon optimal and certainty-equivalent controllers for stabilizing stochastic-parameter systems ⋮ Feedback controllers for stochastic-parameter systems: Relations among various stabilizability conditions ⋮ Feedback controllers for stochastic‐parameter systems: Relations among various stabilizability conditions ⋮ Equivalence of two stochastic stabilizability conditions and its implications

Cites Work

• Equivalent discrete optimal control problem for randomly sampled digital control systems
• Stabilizing a discrete, constant, linear system with application to iterative methods for solving the Riccati equation
• Control of linear discrete-time stochastic dynamic systems with multiplicative disturbances
• The uncertainty threshold principle: Some fundamental limitations of optimal decision making under dynamic uncertainty
• Stochastic controllability of linear discrete systems with multiplicative noise

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