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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Tu Xu-yen,The Practical Value of Controllability and Observability and the Problem of “Most Economical Structural Synthesis” of Control Systems, Symposium of the First National Congress on Control Theory and Its Application, May (1979). (in Chinese)
Zhang Rong-xiang and Chen Zhao-kuan,The Well-Posed Problem in MES Synthesis of Linear Control System, Acta Automatica Sinica, Vol. 7, No. 4, October (1981). (in Chinese)
Vainberg, M. M. and Trenogin, V.A.,Theorey of Branching of Solutions of Nonlinear Equations, Noordhoff International Publishing House, (1974).
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Communicated by Li Hao.
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Rong-xiang, Z., Zhao-kuan, C. Application of the theory of branching of solutions of nonlinear equations in the estimation of pole perturbance of linear closed-loop systems. Appl Math Mech 3, 719–729 (1982). https://doi.org/10.1007/BF01875736
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DOI: https://doi.org/10.1007/BF01875736