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Diagnosability of Nonlinear Circuits and Systems?Part II: Dynamical Systems
November 1981 (vol. 30 no. 11)
pp. 899-904
R. Saeks, Department of Electrical Engineering, Texas Tech University
A theory for the diagnosability of nonlinear dynamical systems, similar to the one in Part I[1] for memoryless systems, is developed. It is based on an input-output model of the system in a Hilbert space setting. A necessary and sufficient condition for the local diagnosability of the system, which is a rank test on a matrix, is derived. A simple sufficient condition is also derived. It is shown that, for locally diagnosable systems, there exist a finite number of test inputs that are sufficient to diagnose the system. Illustrative examples are presented.
Index Terms:
measure, Adjoint map, dynamical systems, Frechet derivative, Hilbert space, local diagnosability
R. Saeks, A. Sangiovanni-Vincentelli, V. Visvanathan, "Diagnosability of Nonlinear Circuits and Systems?Part II: Dynamical Systems," IEEE Transactions on Computers, vol. 30, no. 11, pp. 899-904, Nov. 1981, doi:10.1109/TC.1981.1675721
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