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...book|last1=Young|first1=David M.|title=Iterative solution of large linear systems|url=https://archive.org/details/iterativesolutio00youn|url-access=registrat :<math>L=(\ell_{ij});\quad \ell_{ii} > 0; \quad \ell_{ij}\leq 0, \quad i\neq j.</mat ...

...be the loop [[transfer function]] and ''S'' be the [[Sensitivity (control systems)|sensitivity function]]. ...n, may cause undesired deviations of the output. Loop gain is defined by L(s) = P(s)C(s). ...

...f>{{cite book|first=Roger W.|last=Brockett|title=Finite Dimensional Linear Systems|publisher=John Wiley & Sons|year=1970|isbn=978-0-471-10585-5}}</ref> : <math>T(k,l) = C A^{k-l-1} B</math>. ...

...bras]] and have many applications in other areas of algebra and integrable systems. ...the [[Jacobi identity]]. More generally, a Lie algebra is an object, <math>L</math> in the category of [[vector space]]s (read: <math>\mathbb{C}</math>- ...

...ntinuity of these systems, they behave like different continuous nonlinear systems in different regions of their [[state space (controls)|state space]]. At th ...e structure control]] depends upon methods of analyzing variable structure systems, which are special cases of [[hybrid system|hybrid dynamical system]]s. ...

'''Positive systems'''<ref name=":0">T. Kaczorek. Positive 1D and 2D Systems. Springer- Verlag, 2002</ref><ref>L. Farina and S. Rinaldi, Positive Linear Systems; Theory and ...

...1} \Bigl\{ (s\mathbf{I} - \mathbf{A})^{-1}\Bigr\} \mathbf{x}(0) + \mathcal{L}^{-1} \Bigl\{(s\mathbf{I} - \mathbf{A})^{-1} [\mathbf{BU}(s) + \mathbf{EW}( ...0}}. In the study of [[control system]]s, specially discrete-data control systems, it is often desirable to break up a state-transition process into a sequen ...

...ockquote>The co-energy analysis techniques cannot be applied to non-linear systems. However, small nonlinearities are often neglected by [[linearisation]] of ...ning, but it is useful in calculating mechanical forces in electromagnetic systems. To distinguish it from the "real" energy in calculations it is usually mar ...

...e-dependent transport in interacting and noninteracting resonant-tunneling systems |url=https://journals.aps.org/prb/abstract/10.1103/PhysRevB.50.5528 |journa ...ef> has become a standard tool for calculating the current through various systems, such as molecular junctions, [[quantum dot]]s and [[nanoscale device]]s. ...

...Ian R.|last4=Lanzon|first4=Alexander|title=Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures ...-input single-output system|single-input single-output]] (SISO) case, such systems are defined by considering the properties of the imaginary part of the [[fr ...

...ast3=Hlavacek|first3=William S.|chapter=Rule-Based Modeling of Biochemical Systems with BioNetGen |volume=500|doi=10.1007/978-1-59745-525-1_5|pmid=19399430|ci ==For biochemical systems== ...

...00361 |title=Robust integral sliding mode control for uncertain stochastic systems with time-varying delay |journal=Automatica |year=2005 |doi=10.1016/j.autom nonlinear systems using variable structure control. Automatica 24, ...

...ent, is [[quantum number]] additional to the total angular momentum <math>L</math> and total spin <math> S </math>, which gives the degree of unpaired ...e journal|last1=Isacker|first1=P. Van|title=Seniority in quantum many-body systems|journal=Symmetries in Nature: Symposium in Memoriam Marcos Moshinsky|series ...

...n system]]. The Mishchenko-Fomenko theorem for superintegrable Hamiltonian systems generalizes the Liouville-Arnold theorem on [[action-angle coordinates]] of ...[[Liouville-Arnold theorem]] for [[Integrable system|completely integrable systems]] and the Mishchenko-Fomenko theorem for the superintegrable ones are gener ...

...rphic vector bundle]]s often seen in the context of algebraic [[integrable systems]]. ...t2=Chakravarty |first2=S.| last3=R. G. | first3= Halburd| title=Integrable systems and reductions of the self-dual Yang–Mills equations | journal=Journal of M ...

...'' is a [[Hardy space]] with square norm. It is a subspace of [[Lp space|''L''² space]], and is thus a [[Hilbert space]]. In particular, it In general, elements of ''L''² on the unit circle are given by ...

...e synchronous state in a [[dynamical system]] consisting of many identical systems which are coupled together, such as the [[Kuramoto model]]. ...= Thomas L. | title = Master stability functions for synchronized coupled systems | journal = Physical Review Letters | year = 1998 | volume = 80 | issue = 1 ...

{{Short description|Relationship between transition systems}} ...tutter bisimulation for <math>\text{TS}=(S, \text{Act}, \to, I, \text{AP}, L)</math> is a [[binary relation]] ''R'' on ''S'' such that for all (''s''<su ...

...e 1-D case. Polyphase decomposition and maximally decimated reconstruction systems are already carried out. ...and constitute important steps in the design of multidimensional multirate systems. ...

...ef>{{Cite journal |last=van Kampen |first=E. R. |date=1941 |title=Notes on Systems of Ordinary Differential Equations |url=https://www.jstor.org/stable/237153 == Linear systems of differential equations == ...