a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems...

types of nonlinear systems. Historically, system identification for nonlinear systems has developed by focusing on specific classes of system and can be...

Nonlinear control theory is the area of control theory which deals with systems that are nonlinear, time-variant, or both. Control theory is an interdisciplinary...

Dynamical Systems, Caltech. Laboratory of Nonlinear Systems, Ecole Polytechnique Fédérale de Lausanne (EPFL). Center for Dynamical Systems, University...

chaos, describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state (meaning there is...

applies to more real-world systems because all real control systems are nonlinear. These systems are often governed by nonlinear differential equations....

In signal processing, a nonlinear filter is a filter whose output is not a linear function of its input. That is, if the filter outputs signals R and...

a nonlinear system is a system that is not linear—i.e., a system that does not satisfy the superposition principle. Less technically, a nonlinear system...

properties that are much simpler than the nonlinear case. As a mathematical abstraction or idealization, linear systems find important applications in automatic...

In physics, nonlinear resonance is the occurrence of resonance in a nonlinear system. In nonlinear resonance the system behaviour – resonance frequencies...

Nonlinear acoustics (NLA) is a branch of physics and acoustics dealing with sound waves of sufficiently large amplitudes. Large amplitudes require using...

the nonlinearity. The process can be controlled with nonlinear MPC that uses a nonlinear model directly in the control application. The nonlinear model...

nonlinear system of differential equations is the Navier–Stokes equations. Unlike the linear case, the existence of a solution of a nonlinear system is...

(link) B.H. Dayton, T.-Y. Li and Z. Zeng (2011). "Multiple zeros of nonlinear systems". Mathematics of Computation. 80 (276): 2143–2168. arXiv:2103.05738...

to the functions can be dropped if the system is unforced (i.e., it has no inputs). A classic nonlinear system is a simple unforced pendulum m ℓ 2 θ ¨...

In time series modeling, a nonlinear autoregressive exogenous model (NARX) is a nonlinear autoregressive model which has exogenous inputs. This means that...

Jacobian matrix J+ = (JTJ)−1JT instead of the inverse of J. If the nonlinear system has no solution, the method attempts to find a solution in the non-linear...

symmetric. Linear dynamical systems can be solved exactly, in contrast to most nonlinear ones. Occasionally, a nonlinear system can be solved exactly by...

nonlinear systems. In certain circumstances, which depend on the properties of the input, cross correlation between the input and output of a system with...

and nonlinear systems. A linear observer structure is described in the following sections. The state of a linear, time-invariant discrete-time system is...

In mathematics and particularly in algebra, a system of equations (either linear or nonlinear) is called consistent if there is at least one set of values...

a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different physical systems, ranging...

phenomena in which independent variables affecting the system can show complex and synergetic nonlinear effects. Contrary to traditional modelling methods...

System dynamics (SD) is an approach to understanding the nonlinear behaviour of complex systems over time using stocks, flows, internal feedback loops...

conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state. The term is closely...

Look up nonlinear or nonlinearity in Wiktionary, the free dictionary. Nonlinearity is a property of mathematical functions or data that cannot be graphed...

Stem-and-leaf displays Box plots Nonlinear analysis is often necessary when the data is recorded from a nonlinear system. Nonlinear systems can exhibit complex dynamic...

solution for nonlinear systems. This is enabled by utilizing a homotopy-Maclaurin series to deal with the nonlinearities in the system. The HAM was first...

observability criteria for nonlinear time-varying systems. Observability may also be characterized for steady state systems (systems typically defined in terms...

original nonlinear system is Lyapunov unstable. Furthermore, in a certain neighborhood of this zero solution almost all solutions of original system have...