Stability theory for hybrid dynamical systems
Stability theory for hybrid dynamical systems
Dynamical systems of the hybrid type are viewed as dynamical systems on so-called time-spaces. A time-space is a metric space that is completely ordered, has a minimal element and its metric is additive. Such systems are embedded into dynamical systems defined on \(\mathbb{R}_+\) as the time axis. A stability theory is formulated. Applications are given for nonlinear systems with sampled data and for systems with impulse effects.
- Nokia (France) France
- University of Notre Dame United States
- Alcatel-Lucent (France) France
- Nokia (Finland) Finland
Asymptotic stability in control theory, stability theory, sampled data, time-space, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, hybrid systems, impulse effects
Asymptotic stability in control theory, stability theory, sampled data, time-space, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, hybrid systems, impulse effects
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