Robustness of feedback-stabilized systems in the presence of non-linear and random perturbations

DOI10.1080/0020718508961131zbMath0559.93072OpenAlexW1997238368MaRDI QIDQ5184803

Engin Yaz, Nihal Yildizbayrak

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/0020718508961131

zbMATH Keywords

robustnesswhite Gaussian noisesecond method of Lyapunovfeedback nonlinearitydiscrete stochastic version

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Canonical structure (93B10) Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03)

Related Items (10)

Parametrization of all linear compensators for discrete-time stochastic parameter systems ⋮ Absolute stability approach to stochastic stability of infinite-dimensional nonlinear systems ⋮ Stabilization analysis of discrete nonlinear systems ⋮ Stochastic problems of absolute stability ⋮ 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 ⋮ Stabilizing compensator design for discrete-time non-linear stochastic systems with incomplete state information ⋮ Optimal dissipative control of a class of discrete-time nonlinear stochastic systems with general criteria ⋮ Stability robustness of linear discrete-time systems in the presence of uncertainty ⋮ A stability criterion for a class of discrete nonlinear systems with random parameters

Cites Work

• Unnamed Item
• Feedback stabilizability for stochastic systems with state and control dependent noise
• Liapunov criteria for weak stochastic stability
• The method of V. M. Popov for control systems with random parameters
• Optimization of stochastic systems. Topics in discrete-time systems
• Stochastic stability and control
• Frequency-domain criteria for stability of a class of nonlinear stochastic systems
• A note on the receding-horizon control method
• A suboptimal terminal controller for linear discrete-time systems
• Robustness results in linear-quadratic Gaussian based multivariable control designs
• Principal gains and principal phases in the analysis of linear multivariable feedback systems
• Multivariable feedback design: Concepts for a classical/modern synthesis
• The design of controllers for the multivariable robust servomechanism problem using parameter optimization methods
• Feedback properties of multivariable systems: The role and use of the return difference matrix
• Insensitivity of optimal linear discrete-time regulators †
• On the stability of discrete non-linear feedback systems with state-dependent noise
• The robust control of a servomechanism problem for linear time-invariant multivariable systems
• Gain and phase margin for multiloop LQG regulators
• Robustness of linear quadratic state feedback designs in the presence of system uncertainty
• An inequality and some computations related to the robust stability of linear dynamic systems
• Mean square stability criteria for stochastic feedback systems

This page was built for publication: Robustness of feedback-stabilized systems in the presence of non-linear and random perturbations