New converse Lyapunov theorems and related results on exponential stability

DOI10.1007/BF02741886zbMath0899.93034MaRDI QIDQ1388100

Luigi Glielmo, Martin Corless

Publication date: 8 June 1998

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

zbMATH Keywords

exponential stabilitylinearizationconverse Lyapunov theoremscascade systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) General systems theory (93A99)

Related Items (11)

Blended dynamics approach to distributed optimization: sum convexity and convergence rate ⋮ On output feedback control of singularly perturbed systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A converse theorem on practical \(h\)-stability of nonlinear systems ⋮ New results on the uniform exponential stability of nonautonomous perturbed dynamical systems ⋮ Convergence of stochastic approximation via martingale and converse Lyapunov methods ⋮ The exponential input-to-state stability property: characterisations and feedback connections ⋮ Uniform parametric convergence in the adaptive control of mechanical systems ⋮ Robust nonlinear control of systems with input unmodeled dynamics ⋮ Exponential convergence of nonlinear time-varying differential equations

Cites Work

• On the Exponential Stability of Singularly Perturbed Systems
• A Smooth Converse Lyapunov Theorem for Robust Stability
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