On the existence of common quadratic Lyapunov functions for second-order linear time-invariant discrete-time systems

Author:

Akar Mehmet,Narendra Kumpati S.

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Signal Processing,Control and Systems Engineering

Reference14 articles.

1. A common Lyapunov function for stable LTI systems with commuting A-matrices

2. Classes of discrete linear systems having common quadratic Lyapunov functions. Proceedings of the American Control Conference, Evanston, IL, June 1995; 3364-3365.

3. A set of discrete-time linear systems which have a common Lyapunov function and its extension. Proceedings of the American Control Conference, Tampa, FL, June 1998; 2905-2906.

4. On the stability and existence of common Lyapunov functions for linear switching systems. Technical Report 9805, Yale University, New Haven, CT, 1998; Condensed version also appeared in Proceedings of Conference on Decision and Control, Tampa, FL, 1998; 3723-3724.

5. Stability of switched systems: a Lie-algebraic condition

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