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Practical stability of nonlinear time-varying cascade systems. (English) Zbl 1203.93160
Summary: We investigate the practical stability problem of nonlinear time-varying cascade systems. We give some sufficient conditions that guarantee practical global uniform asymptotic stability and practical global uniform exponential stability of such dynamical systems.

MSC:
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
34D20 Stability of solutions to ordinary differential equations
37B25 Stability of topological dynamical systems
37B55 Topological dynamics of nonautonomous systems
37N35 Dynamical systems in control
93A13 Hierarchical systems
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