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Quasilinearization Method for System Identification

1982
The method of quasilinearization was introduced in Chapter 4 as a successive approximation method for finding the solution of nonlinear two-point boundary problems. In this chapter quasilinearization is used for system identification (References 1–9) using the measurements to formulate the problem as a multipoint boundary-value problem.
Robert Kalaba, Karl Spingarn
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Stability of quasilinear fuzzy system

Fuzzy Sets and Systems, 1995
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Quasilinearization in biological systems modeling

2006
The estimation of parameters in differential equations is a basic problem in biological systems modeling. However, these parameters cannot be estimated easily when the equations are too complicated and cannot be solved in closed form. Although Dr. Bellman has proposed to use quasilinearization to solve this problem, more numerical experiments are ...
E. S. Lee, K. M. Wang
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On singularly perturbed quasilinear systems

Applied Mathematics and Mechanics, 1987
The objective is to give sufficient conditions for the existence of solutions of a nonlinear two-point boundary value problem. We employ these results to consider the boundary layer phenomena of the quasilinear weakly coupled singularly perturbed system \[ \epsilon y''=F(t,y)y'+g(t,y)\quad (a\leq t\leq b),\quad y(a,\epsilon)=A,\quad y(b,\epsilon)=B. \]
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Interesting Class of Quasilinear Systems

Journal of Computational Physics
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Global existence of bounded solutions for a quasilinear chemotaxis system with logistic source

Nonlinear Analysis: Real World Applications, 2019
Guoqiang Ren, Bin Liu
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Boundedness in the higher-dimensional quasilinear chemotaxis-growth system with indirect attractant production

Computers and Mathematics with Applications, 2018
Shuyan Qiu, Chunlai Mu, Liangchen Wang
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