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2. Popov criterion - Wikipedia

   en.wikipedia.org/wiki/Popov_criterion

   The sub-class of Lur'e systems studied by Popov is described by: ˙ = + ˙ = = + = where x ∈ R n, ξ,u,y are scalars, and A,b,c and d have commensurate dimensions. The nonlinear element Φ: R → R is a time-invariant nonlinearity belonging to open sector (0, ∞), that is, Φ(0) = 0 and yΦ(y) > 0 for all y not equal to 0.

3. Stable theory - Wikipedia

   en.wikipedia.org/wiki/Stable_theory

   In the mathematical field of model theory, a theory is called stable if it satisfies certain combinatorial restrictions on its complexity. Stable theories are rooted in the proof of Morley's categoricity theorem and were extensively studied as part of Saharon Shelah's classification theory, which showed a dichotomy that either the models of a theory admit a nice classification or the models ...

4. Category:Stability theory - Wikipedia

   en.wikipedia.org/wiki/Category:Stability_theory

   Download QR code; Print/export Download as PDF; Printable version; In other projects Wikimedia Commons; ... It corresponds roughly to MSC 34Dxx Stability Theory

5. Stability theory - Wikipedia

   en.wikipedia.org/wiki/Stability_theory

   In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation , for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature ...

6. LaSalle's invariance principle - Wikipedia

   en.wikipedia.org/wiki/LaSalle's_invariance_principle

   Some extensions of Liapunov's second method, IRE Transactions on Circuit Theory, CT-7, pp. 520–527, 1960. (PDF Archived 2019-04-30 at the Wayback Machine) Barbashin, E. A.; Nikolai N. Krasovskii (1952). Об устойчивости движения в целом [On the stability of motion as a whole]. Doklady Akademii Nauk SSSR (in Russian).

7. Stability criterion - Wikipedia

   en.wikipedia.org/wiki/Stability_criterion

   Routh–Hurwitz stability criterion; Vakhitov–Kolokolov stability criterion; Barkhausen stability criterion; Stability may also be determined by means of root locus analysis. Although the concept of stability is general, there are several narrower definitions through which it may be assessed: BIBO stability; Linear stability; Lyapunov stability

8. Lyapunov equation - Wikipedia

   en.wikipedia.org/wiki/Lyapunov_equation

   The Lyapunov equation, named after the Russian mathematician Aleksandr Lyapunov, is a matrix equation used in the stability analysis of linear dynamical systems. [1] [2]In particular, the discrete-time Lyapunov equation (also known as Stein equation) for is

9. Bridgeland stability condition - Wikipedia

   en.wikipedia.org/wiki/Bridgeland_stability_condition

   Such stability conditions were introduced in a rudimentary form by Michael Douglas called -stability and used to study BPS B-branes in string theory. [1] This concept was made precise by Bridgeland, who phrased these stability conditions categorically, and initiated their study mathematically.