Local stability and Hopf bifurcation of two-dimensional nonlinear descriptor system

Author:

Liao Xiaofeng,Xie Tangtang

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference35 articles.

1. El’sgol’ts, L., Norkin, D.: Introduction to the Theory and Applications of Differential Equations with Deviating Arguments, Mathematics in Science and Engineering, vol. 105. Academic Press, New York (1973)

2. Hale, J., Lunel, S.: Introduction to Functional Differential Equations. Springer, New York (1993)

3. Hale, J., Lunel, S.: Effects of Small Delays on Stability and Control, Rapport No. Ws-528. Vrije University, Amsterdam (1999)

4. Barman, J.F., Callier, F.M., Desoer, C.A.: $$\text{ L }^{2}$$ L 2 -stability and $$\text{ L }^{2}$$ L 2 -instability of linear time-invariant distributed feedback system perturbed by a small delay in the loop. IEEE Trans. Automat. Contr. 18, 479–484 (1973)

5. Datko, R.: Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedback. SIAM J. Control Optim. 26, 687–713 (1988)

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