Small-gain theorem

Small-gain theorem

In nonlinear systems, the formalism of input-output stability is an important tool in studying the stability of interconnected systems since the gain of a system directly relates to how the norm of a signal increases or decreases as it passes through the system. The small-gain theorem gives a sufficient condition for finite-gain mathcal{L} stability of the feedback connection.

References

* H. K. Khalil, "Nonlinear Systems," third edition, Prentice Hall, Upper Saddle River, New Jersey, 2002.


Wikimedia Foundation. 2010.

Игры ⚽ Нужно сделать НИР?

Look at other dictionaries:

  • Noether's theorem — This article discusses Emmy Noether s first theorem, which derives conserved quantities from symmetries. For her related theorem on infinite dimensional Lie algebras and differential equations, see Noether s second theorem. For her unrelated… …   Wikipedia

  • Nyquist–Shannon sampling theorem — Fig.1: Hypothetical spectrum of a bandlimited signal as a function of frequency The Nyquist–Shannon sampling theorem, after Harry Nyquist and Claude Shannon, is a fundamental result in the field of information theory, in particular… …   Wikipedia

  • Coase theorem — In law and economics, the Coase theorem (pronounced /ˈkoʊs/), attributed to Ronald Coase, describes the economic efficiency of an economic allocation or outcome in the presence of externalities. The theorem states that if trade in an externality… …   Wikipedia

  • Nonlinear control — is the area of control engineering specifically involved with systems that are nonlinear, time variant, or both. Many well established analysis and design techniques exist for LTI systems (e.g., root locus, Bode plot, Nyquist criterion, state… …   Wikipedia

  • George Zames — Infobox Scientist name = George Zames caption = birth date = birth date |1934|1|7 birth place = Łódź, Poland death date = death date and age|1997|8|10|1934|1|7 death place = Montreal, Canada residence = Canada nationality =Canadian Polish field …   Wikipedia

  • Animal coloration — Chapman s Zebras in Botswana, displaying their outline disrupting camouflage Animal coloration has been a topic of interest and research in biology for well over a century. According to Charles Darwin s 1859 theory of natural selection,[1 …   Wikipedia

  • Exact sciences (The) in Hellenistic times: texts and issues — The exact sciences in Hellenistic times: Texts and issues1 Alan C.Bowen Modern scholars often rely on the history of Greco Latin science2 as a backdrop and support for interpreting past philosophical thought. Their warrant is the practice… …   History of philosophy

  • Nash equilibrium — A solution concept in game theory Relationships Subset of Rationalizability, Epsilon equilibrium, Correlated equilibrium Superset of Evolutionarily stable strategy …   Wikipedia

  • Negative feedback amplifier — Figure 1: Ideal negative feedback model A negative feedback amplifier (or more commonly simply a feedback amplifier) is an amplifier which combines a fraction of the output with the input so that a negative feedback opposes the original signal.… …   Wikipedia

  • Network analysis (electrical circuits) — Linear Network Analysis Elements …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”