Conditions for the existence of a common quadratic Lyapunov function via stability analysis of matrix families

Proceedings of the American Control Conference

Volumn 2, Issue , 2002, Pages 1296-1301

  Yedavalli, Rama K ^a   Sparks, Andrew ^b  

^a OHIO STATE UNIVERSITY   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

Common quadratic Lyapunov function; Extreme point results; Linear state space systems; Linear switched systems; Stability

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; STATE SPACE METHODS; SWITCHING SYSTEMS; THEOREM PROVING;

COMMON QUADRATIC LYAPUNOV FUNCTION; EXTREME POINT RESULTS; GENERAL POLYTOPE PROBLEM; HURWITZ MATRICES; LINEAR SWITCHED SYSTEMS; LINEAR TIME INVARIANT SYSTEMS;

SYSTEM STABILITY;

EID: 0036058801     PISSN: 07431619     EISSN: None     Source Type: Journal    
DOI: 10.1109/ACC.2002.1023199     Document Type: Article

References (7)

1. Necessary and sufficient conditions for the existence of a common quadratic lyapunov function for two stable second order linear time invariant systems
2. A necessary and sufficient 'vertex' solution for checking stability of convex combination of arbitrary hurwitz stable matrices
3. Special issue on hybrid systems
4. Basic problems in stability and design of switched systems
5. Conditions for a matrix to have only characteristic roots with negative real parts
6. Inners and stability of dynamic systems
7. Necessary and sufficient conditions for the existence of a common quadratic lyapunov function for m stable second order linear time invariant systems