Asymptotic stability regions via extensions of Zubov's method—I

DOI10.1016/0362-546X(83)90010-XzbMath0532.34035OpenAlexW1975441064MaRDI QIDQ3314194

Aulbach, Bernd

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90010-x

zbMATH Keywords

asymptotic stability regionautonomous diffferential systemZubov method

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (9)

On the determination of the basin of attraction of discrete dynamical systems ⋮ Zubov's equation for state-constrained perturbed nonlinear systems ⋮ Zubov's method for controlled diffusions with state constraints ⋮ Asymptotic stability regions via extensions of zubov's method—II ⋮ The local flow-box theorem for discretizations the analytic case ⋮ Optimal controller tuning for nonlinear processes ⋮ Bernd Aulbach—Obituary ⋮ A new Lyapunov design approach for nonlinear systems based on Zubov's method ⋮ Review on computational methods for Lyapunov functions

Cites Work

• Stability by Liapunov's direct method. With applications
• Existence of dichotomies and invariant splittings for linear differential systems. I
• Dichotomies in stability theory
• Determination of the domain of stability
• Asymptotic stability regions via extensions of zubov's method—II
• Comments on "On the adiabatic approximation for design of control laws for linear, time-varying systems" [with reply]
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