论文信息 - State isomorphism approach to global identifiability of nonlinear systems

State isomorphism approach to global identifiability of nonlinear systems

Global deterministic identifiability of nonlinear systems is studied by constructing the family of local state isomorphisms that preserve the structure of the parametric system. The method is simplified for homogeneous systems, where such isomorphisms are shown to be linear, thereby reducing the identifiability problem to solving a set of algebraic equations. The known conditions for global identifiability in linear and bilinear systems are special cases of these results. >

H. Rabitz | S. Vajda

[1] L. Silverman. Realization of linear dynamical systems , 1971 .

[2] J. Willems,et al. Parametrizations of linear dynamical systems: Canonical forms and identifiability , 1974 .

[3] A. Isidori,et al. Realization and Structure Theory of Bilinear Dynamical Systems , 1974 .

[4] A. Krener,et al. Nonlinear controllability and observability , 1977 .

[5] H. Pohjanpalo. System identifiability based on the power series expansion of the solution , 1978 .

[6] Yves Lecourtier,et al. Unidentifiable compartmental models: what to do? , 1981 .

[7] Eric Walter,et al. Identifiability of State Space Models , 1982 .

[8] E. Walter,et al. Global approaches to identifiability testing for linear and nonlinear state space models , 1982 .

[9] S. Vajda,et al. Structural identifiability of dynamical systems , 1983 .

[10] S. Vajda. Deterministic identifiability and algebraic invariants for polynomial systems , 1987 .

[11] S. Vajda,et al. IDENTIFIABILITY OF POLYNOMIAL SYSTEMS: STRUCTURAL AND NUMERICAL ASPECTS , 1987 .

[12] T. Tarn,et al. New results for identifiability of nonlinear systems , 1987 .