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Factorization of Nonlinear Systems
1991We introduce a new concept of factor distribution for a nonlinear system as anew tool for studying the decomposition of such a system. The idea of factorizing generalizes a similar idea from linear system theory as well as the notion of controlled invariance for nonlinear systems.
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Optimal State Estimation: Kalman, H∞, and Nonlinear Approaches
, 1995In 1960, R.E. Kalman published his famous paper describing a recursive solution to the discrete-data linear filtering problem. Since that time, due in large part to advances in digital computing, the Kalman filter has been the subject of extensive ...
D. Simon
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IEEE transactions on fuzzy systems, 2019
The problem of adaptive fuzzy control is investigated for a class of nontriangular structural stochastic switched nonlinear systems with full state constraints in this paper. A remarkable feature of the nontriangular structural nonlinear system is the so-
Kangkang Sun +4 more
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The problem of adaptive fuzzy control is investigated for a class of nontriangular structural stochastic switched nonlinear systems with full state constraints in this paper. A remarkable feature of the nontriangular structural nonlinear system is the so-
Kangkang Sun +4 more
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IEEE transactions on fuzzy systems, 2019
In this paper, an adaptive fuzzy output feedback control problem is investigated for a class of stochastic nonlinear systems in which the fuzzy logic systems are adopted to approximate the unknown nonlinear functions.
Hui Ma +3 more
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In this paper, an adaptive fuzzy output feedback control problem is investigated for a class of stochastic nonlinear systems in which the fuzzy logic systems are adopted to approximate the unknown nonlinear functions.
Hui Ma +3 more
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Controllability of nonlinear systems
Numerical Functional Analysis and Optimization, 1989In this paper we obtain global controllability of a semilinear system involving monotone nonlinearities of both Lipschitzian and non-Lipschitzian types.
JOSHI, MC, GEORGE, RK
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Bilinearization of Nonlinear Systems
1988In many control problems of practical interest, the cause-effect relation of a plant has to be modelled by a class of nonlinear differential equations. Because of the difficulty in dealing with general nonlinear equations, it is a normal way to linearize it regarding the operating steady state, using Taylor series expansion, and to deal with the ...
H. Schwarz +3 more
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Systems of Nonlinear Equations
1996This chapter extends chapter 2 from solving one nonlinear equation in one unknown to systems of nonlinear equations. Assume that we are given a system of n nonlinear equations for an \( n \in \mathbb{N} \) with n ≥ 2: $$ \begin{cases} f_1 (x_1 ,x_2 , \ldots ,x_n ) = 0, \hfill \\ f_2 (x_1 ,x_2 , \ldots ,x_n ) = 0, \hfill \\ \vdots \,\,\,\,\,\,\,\,\,\
Gisela Engeln-Müllges, Frank Uhlig
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2016
We extend the theory of linear systems analysis to nonlinear systems, by describing the Volterra formalism. The response of a finite memory, causal, and nonlinear system can be described by the Volterra functional series, in which each term captures the influence of higher-order interactions between past stimulus events to the current output through ...
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We extend the theory of linear systems analysis to nonlinear systems, by describing the Volterra formalism. The response of a finite memory, causal, and nonlinear system can be described by the Volterra functional series, in which each term captures the influence of higher-order interactions between past stimulus events to the current output through ...
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Nonlinear Systems of Equations
1993In Chapter 6, we considered the problem of finding zeros (or roots) of nonlinear functions of a single variable. Now, we consider its generalization, the problem of finding the solution vectors of a system of nonlinear equations. We give a method for finding all solutions of a nonlinear system of equations f(x) = 0 for a continuously differentiable ...
Dietmar Ratz +3 more
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