Lyapunov functions for stable cascades and applications to global stabilization

DOI10.1109/9.788556zbMath0958.93080OpenAlexW2567568699MaRDI QIDQ4506903

Mrdjan Jankovic, Frederic Mazenc, Rodolphe J. Sepulchre

Publication date: 17 October 2000

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: http://orbi.ulg.ac.be/handle/2268/78061

zbMATH Keywords

Lyapunov functionnonlinear systemsglobal stabilizationfeedforward systemscascade

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30)

Related Items (11)

Nonsmooth stabilization of a class of nonlinear cascaded systems ⋮ Global asymptotic stabilisation of non-linear systems ⋮ A quotient method for designing nonlinear controllers ⋮ Global smooth stabilization of a class of feedforward systems under the framework of generalized homogeneity with monotone degrees ⋮ On the global stabilization of Takagi-Sugeno fuzzy cascaded systems ⋮ State feedback stabilization of cascaded nonlinear systems with discontinuous connection ⋮ The Trajectory Tracking Problem of Quadrotor <scp>UAV</scp>: Global Stability Analysis and Control Design Based on the Cascade Theory ⋮ Forward completeness, unboundedness observability, and their Lyapunov characterizations ⋮ Global asymptotic output feedback stabilization of feedforward systems ⋮ The global asymptotic stability and stabilization in nonlinear cascade systems with delay ⋮ Growth conditions for exponential stability of time-varying perturbed systems

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