Application of the Theory of Branching of Solutions of Nonlinear Equations to the Estimation of Pole Perturbance of Linear Closed-Loop Systems

Zhang Rong-xiang; Chen Zhao-kuan

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Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(5): 661-670

Zhang Rong-xiang, Chen Zhao-kuan. Application of the Theory of Branching of Solutions of Nonlinear Equations to the Estimation of Pole Perturbance of Linear Closed-Loop Systems[J]. Applied Mathematics and Mechanics, 1982, 3(5): 661-670.

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Application of the Theory of Branching of Solutions of Nonlinear Equations to the Estimation of Pole Perturbance of Linear Closed-Loop Systems

Zhang Rong-xiang¹,
Chen Zhao-kuan²

1.
Shandong Engineering Institute;
2.
Shandong University

Received Date: 1981-11-30
Publish Date: 1982-10-15

Abstract

Abstract

When the state and input matrices of a multivariable linear time-invariant system are perturbed, the problem of the estimation of pole perturbance of closed-loop system is considered by making use of the theory of branching of solutions for nonlinear equations.

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References(3)

References

[1]	张荣祥.陈兆宽,线性控制系统最经济结构综合解的适定性问题,自动化学报,7, 4. (1981),245-254.
[2]	涂序彦,可控性、可观性的实用价值与最经济结构综合问题,全国第一届控制理论及应用学术交流会论文集,(1979. 5).
[3]	Ysinberg, M. M. and Trenogin, V.A.,Theorg of Branching of Solutions of Non-linear Equations, Noordhoff International Publishing House, (1974).