Entropy for Practical Stabilization
Copyright policy )Entropy for Practical Stabilization
For deterministic continuous time nonlinear control systems, epsilon-practical stabilization entropy and practical stabilization entropy are introduced. Here the rate of attraction is specified by a KL-function. Upper and lower bounds for the diverse entropies are proved, with special attention to exponential KL-functions. The relation to feedbacks is discussed, the linear case and several nonlinear examples are analyzed in detail.
The paper has been thoroughly revised
- IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE United Kingdom
- Universität Augsburg Germany
- Imperial College London United Kingdom
ddc:510, Measures of information, entropy, invariance entropy, math.OC, 93D15, 37B40, 94A17, 37B40, 94A17, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Dynamical Systems (math.DS), Feedback control, 93D15, 510, Optimization and Control (math.OC), FOS: Mathematics, Nonlinear systems in control theory, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, math.DS, practical stabilization, practical stabilization entropy
ddc:510, Measures of information, entropy, invariance entropy, math.OC, 93D15, 37B40, 94A17, 37B40, 94A17, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Dynamical Systems (math.DS), Feedback control, 93D15, 510, Optimization and Control (math.OC), FOS: Mathematics, Nonlinear systems in control theory, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, math.DS, practical stabilization, practical stabilization entropy
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!