Nonlinear Systems
General Fast Sampling Theorems for Nonlinear Systems
... Most existing fast sampling results are for specific controller or system structures, however general settings in which the fast sampling and hold procedure has been justified can be found in [5, 11, 13, 14, 15, 16] and ...
13
Analysis of output frequencies of nonlinear systems
... of nonlinear systems when the system is subject to an input, the frequency components of which are located in a fi- nite number of separate frequency intervals of different ...
9
Robust and Saturation Control for Polynomial Nonlinear Systems.
... derive nonlinear controllers (with better per- formance than linear controllers) for linear systems involving time-varying uncertainties ...in nonlinear control problems, since it guarantees the ...
136
Numerical methods for nonlinear systems of equations
... Recently, nonlinear systems of equations appear in numerical applications ...the nonlinear systems of ...solving nonlinear systems of ...solving nonlinear systems ...
21
Analysis of Reciprocity Breakdown in Nonlinear Systems
... Abstract. The breakdown of the principle of reciprocity is a well-known phenomenon of nonlinear systems. A structure or system is said to exhibit reciprocity when the response at some point j to an input at ...
8
Analogue studies of nonlinear systems
... fluctuating nonlinear systems are numerous biological problems, in addition to those representing applications of stochastic resonance (Bulsara et al 1995, Collins et al 1995, 1996, Wiesenfeld and Moss ...
109
Sparse generalized kernel modeling for nonlinear systems
... Abstract— A generalized kernel modeling approach is pro- posed for identification of discrete-time nonlinear systems. Each kernel regressor in the generalized kernel model has an individually fitted ...
6
Optimal Controller Synthesis for Nonlinear Systems
... of nonlinear systems: linearly solvable nonlinear systems and hybrid nonlinear ...solvable systems have associated Hamilton- Jacobi-Bellman (HJB) equations that can be ...
195
Transition through resonance in linear and nonlinear systems
... external for nonstat ionary in case the shown Case in nonstat for decrease and ionary increase nonstat ionary linear decreasing and nonstat linear decrease and ionary 1 inear damped we n[r] ...
143
Sparse generalized kernel modeling for nonlinear systems
... Conclusions • A construction algorithm has been proposed for nonlinear system identification using the generalised kernel model – The algorithm has ability to tune the centre and covaria[r] ...
21
Robust adaptive estimators for nonlinear systems
... The new filters are aimed at compensating the nonlinear dynamics as well as the system modeling errors by adaptively estimating the noise statistics and unknown parameters. For comparison purposes, this adaptive ...
6
Input dependent structural identifiability of nonlinear systems
... We address this problem by building on an existing tool, STRIKE-GOLDD [27], which is a MATLAB toolbox that implements a structural identifiability analysis methodology based on differential geometry. It considers ...
7
Criteria for Instability and Chaos in Nonlinear Systems
... In the article, the methods of investigating the instability that were formulated earlier by the authors are systematized in the form of a set of criteria for the instability and chaos. The latest ones are used to study ...
7
Short Solutions to Nonlinear Systems of Equations
... Abstract. This paper presents a new hard problem for use in cryptogra- phy, called Short Solutions to Nonlinear Equations (SSNE). This problem generalizes the Multivariate Quadratic (MQ) problem by requiring the ...
21
Global reconstruction of nonlinear systems from families of linear systems
... situation, for example, in divide and conquer identification (because only input-output data is measurable) and many forms of gain-scheduling design (because the linear methods used to carry out point designs are ...
13
Averaging and control of nonlinear systems
... control systems form a large and important subclass of nonlinear control ...mechanical systems also have inherent structure that simplifies their ...mechanical systems are then used to ...
240
Identification & control of nonlinear systems
... Both recursive and direct algorithms are developed using either an unbiased or minimum mean square error criterion to obtain estimates of the Fourier transform and the power spectrum den[r] ...
252
Stabilization and identification of nonlinear systems
... As seen in the introduction, the study of coprime factorizations of linear systems leads to a theory giving the class of all stabilizing controllers for a linear plant, the class of plan[r] ...
160
Identification of nonlinear systems
... The ideas in this thesis heavily rely on data-driven model-free control design meth ods th a t have recently been proposed in [6, 17, 30]. Indeed, we treat closed-loop identi fication with a tailor-made parametrisation ...
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