Over-Determined and Under-Determined Systems of Time-Varying Linear Equations
- 516 Downloads
In this chapter, focusing on solving over-determined system of time-varying linear equations, we first propose, generalize, develop, and investigate two ZD models based on two different ZFs. Then, by introducing another two different ZFs, another two ZD models are proposed, generalized, developed, and investigated to solve under-determined system of time-varying linear equations. Computer simulation results with different illustrative examples are presented to further substantiate the efficacy of the proposed ZD models for solving over-determined and under-determined systems of time-varying linear equations.
KeywordsLinear Time-varying Equations Under-determined System Illustrative Example Simulated State Trajectories Randomly-generated Initial States
- 7.Godunov SK (2008) On approximations for overdetermined hyperbolic equations. In: Proceedings of the 12th international conference on hyperbolic problems: theory, numerics, applications, pp 19–33Google Scholar
- 10.Zhang Y, Li W, Guo D, Mu B, Zheng H (2013) Different Zhang functions leading to various ZNN models illustrated via solving the time-varying overdetermined system of linear equations. In: Proceedings of international conference on information science and technology, pp 771–776Google Scholar
- 11.Zhang Y, Wang Y, Jin L, Mu B, Zheng H (2013) Different ZFs leading to various ZNN models illustrated via online solution of time-varying underdetermined systems of linear equations with robotic application. Lect Notes Comput Sci 7952:481–488Google Scholar
- 12.Mathews JH, Fink KD (2004) Numerical methods using MATLAB. Prentice Hall, New JerseyGoogle Scholar