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The nonlocal reduction method in the theory of absolute stability of nonlinear systems. I

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Publication:759715
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zbMath0553.93045MaRDI QIDQ759715

Gennady Alekseevich Leonov

Publication date: 1984

Published in: Automation and Remote Control (Search for Journal in Brave)


zbMATH Keywords

Lyapunov functionsKalman-Yakubovich lemmatheorems of Barbashin- Krasovskii type


Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20)


Related Items (3)

On estimating the attraction regions of the equilibrium states of dynamic systems by the direct Lyapunov method ⋮ One method of constructing positively invariant sets for a Lorenz system ⋮ Differential equations with hysteresis operators. existence of solutions, stability, and oscillations







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