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...

Andrew R. Teel. Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem. IEEE Trans. Autom. Control, 43(7):960–964, 1998....

and the circle criterion for absolute stability Center manifold theorem Small-gain theorem Passivity analysis Control design techniques for nonlinear systems...

controller namely, Linear fractional transformations which relies on the small gain theorem for bounds on performance and robustness. Single Quadratic Lyapunov...

for the development of various well-known results such as small-gain theorem, passivity theorem, circle criterion in input–output form, and most famously...

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b...

the Coase theorem (/ˈkoʊs/) describes the economic efficiency of an economic allocation or outcome in the presence of externalities. The theorem is significant...

translations of many of his other works. Clausius, RJE (1870). "On a Mechanical Theorem Applicable to Heat". Philosophical Magazine. 4th Series. 40: 122–127. Solomon...

The proof has gained wide acceptance since then, although some doubts remain. The theorem is a stronger version of the five color theorem, which can be...

Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with...

Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law...

inequalities in control theory. George Zames McGill University Developed robust control theory, including the small-gain theorem and H-infinity control....

Kakutani fixed-point theorem in his 1950 paper to prove existence of equilibria. His 1951 paper used the simpler Brouwer fixed-point theorem for the same purpose...

Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be...

output-feedback risk-sensitive control, robust adaptive stabilization, small-gain theorem of general nonlinear stochastic systems. Different from the existing...

{O} }\parallel R_{\mathrm {L} })\right)} . The gain gm (rO || RL) is large for large RL, so even a small parasitic capacitance Cgd can become a large influence...

the extra element theorem. As follows directly from limiting cases of the gain expression, the asymptotic gain G∞ is simply the gain of the system when...

specification may require that within the filter passband, the gain is nominally 0 dB with a small variation, for example within the ±1 dB interval. In the...

jury theorem is a political science theorem about the relative probability of a given group of individuals arriving at a correct decision. The theorem was...

curves. These two branches are related to each other by the fundamental theorem of calculus. They make use of the fundamental notions of convergence of...

Choma, and was made popular in the extra element theorem by R. D. Middlebrook and the asymptotic gain model of Solomon Rosenstark. Blackman's approach...

balance energy gain and consumption. The Marginal Value Theorem is an optimality model that describes the strategy that maximizes gain per unit time in...

existence of the interaction picture, a result now commonly known as Haag’s theorem. Haag’s original proof relied on the specific form of then-common field...

negative feedback, but insufficient amounts of it. Asymptotic gain model Blackman's theorem Bode plot Buffer amplifier considers the basic op-amp amplifying...

In computational complexity and optimization the no free lunch theorem is a result that states that for certain types of mathematical problems, the computational...

such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (a conjecture until proven in 1995 by Andrew Wiles), have shaped much of...

"stability theorem," asserting that in the collection of all Alexandrov spaces with a fixed curvature bound, all elements of any sufficiently small metric...

The Extra Element Theorem (EET) is an analytic technique developed by R. D. Middlebrook for simplifying the process of deriving driving point and transfer...

exhibiting gain can modify the amplifier input impedance via this effect. These properties of the Miller effect are generalized in the Miller theorem. The Miller...

In decision theory, the von Neumann–Morgenstern (VNM) utility theorem shows that, under certain axioms of rational behavior, a decision-maker faced with...