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According to the load/unload response ratio theory, the degree of instability by which nonlinear systems can be identified according to the difference between load and unload responses was analyzed.
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Models of biological or technical applications are represented by nonlinear systems, which are defined by ordinary differential equations.
This paper investigates exponentially stable guaranteed cost control (GCC) for a class of nonlinear systems which is represented by Takagi Sugeno (T S) fuzzy systems.
Resonant phenomena for a class of nonlinear systems, which can be described by a single-degree-of-freedom (sdof) model with a polynomial-type nonlinear stiffness, are investigated using nonlinear output frequency response functions (NOFRFs).
The reaction diffusion dynamics are described by a nonlinear system of differential equations which, due to the wide range of physical parameters, is very stiff.
As the homotopy is defined implicitly by a nonlinear system of equations to which the analytical solution is by assumption unknown, many properties of the homotopy can only be studied using numerical methods.
Analysis and design of complex systems benefit from mathematically tractable models, which are often derived by approximating a nonlinear system with an effective equivalent linear system.
In that regard, fuzzy logic - which is used for modeling nonlinear systems - could be a useful tool.
By applying feedback linearization, 10 a proper coordinate transformation can be derived to establish an effective method for control of the nonlinear systems with smooth nonlinearities, which are nonlinear in their state variables but linear in their control variables.
Blowfly photoreceptors were used to illustrate information processing by a nonlinear system through input-output analysis.
Nonlinear systems: systems in which changes in the output (or response) are not linearly related (i.e., directly proportional) to changes in the input (or stimulus).
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