A simple criterion for global stabilizability of a class of nonlinear singularly perturbed systems

DOI10.1080/00207179408923094zbMath0810.93050OpenAlexW2144131560MaRDI QIDQ4286553

Jer-Guang Hsieh, Chung-Cheng Chen

Publication date: 27 March 1994

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

Full work available at URL: https://doi.org/10.1080/00207179408923094

zbMATH Keywords

singularly perturbed systemsglobal stabilizability

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Perturbations in control/observation systems (93C73) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Saint-Venant's principle (74G50)

Related Items (5)

Closed loop stability of a class of nonlinear singularly perturbed systems with discretized composite feedback ⋮ A simple criterion for global exponential stabilizability of nonlinear multiple time-delay singularly perturbed systems ⋮ On the global stabilization of a class of nonlinear singularly perturbed systems using nonlinear H_∞ control approach ⋮ Application of feedback linearization to tracking and almost disturbance decoupling control of the AMIRA ball and beam system. ⋮ Stabilization and regulation of class of non-linear singularly perturbed discrete-time systems

Cites Work

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• Integral manifolds and decomposition of singularly perturbed systems
• A geometric approach to nonlinear singularly perturbed control systems
• Feedback control of nonstandard singularly perturbed systems
• Composite feedback control for a class of non-linear singularly perturbed systems with fast actuators
• Stabilization and regulation of nonlinear singularly perturbed systems--Composite control
• A corrective feedback design for nonlinear systems with fast actuators
• Exact design manifold control of a class of nonlinear singularly perturbed systems
• Transformations of a class of non-linear multivariable control systems to block companion forms and their applications
• <tex>L_infty</tex>-stability criteria for interconnected systems using exponential weighting

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