Affiliation:
1. Xi’an Jiaotong University
Abstract
Exponential stability for the singular distributed parameter systems is discussed in the light of the theory of GE0-semigroup in Hilbert space. The necessary and sufficient conditions concerning the exponential stability are given.
Publisher
Trans Tech Publications, Ltd.
Reference26 articles.
1. L. Joder, M. L. Femandez, An Implicit Difference Method for the Numerical Solution of Coupled System of Partial Differential Equations, Appl. Math. Comput., vol. 46, 1991, pp.127-134.
2. F. L. Lewis, A Review of 2-D Implicit Systems, Automatic, vol. 28, 1992, pp.345-354.
3. Y. Hu, S. G. Peng, X. J. Li, Maximum Principle for Optimal Control Problem of Nonlinear Generalized Systems- Infinite Dimensional Case, Atca Mathmaticae Applicatae Sinica, vol. 15, 1992, pp.99-104.
4. Z. Trzaska, W. Marszalek, Singular Distributed Parameter Systems, IEE Control Theory and Applications, vol. 140, 1993, pp.305-308.
5. R. Triggiani, A Sharp Result on the Exponential Operator-Norm Decay of a Family of Strongly Continuous Semigroups, Semigroup Forum, vol. 49, 1994, pp.387-395.