Stability for a competitive Lotka-Volterra system with delays: LMI optimization approach

Applied Mathematics Letters

Volumn 18, Issue 6 SPEC. ISS., 2005, Pages 689-694

  Park, Ju H ^a  

^a Yeungnam University   (South Korea)

Author keywords

Delay; LMI; Local stability; Lotka Volterra system

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; OPTIMIZATION; PROBLEM SOLVING; THEOREM PROVING;

DELAY; LINEAR MATRIX INEQUALITY (LMI); LOCAL STABILITY; LOTKA-VOLTERRA SYSTEM;

MATRIX ALGEBRA;

EID: 15844407515     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2004.04.014     Document Type: Article

References (7)

1. J. Hale, and S.M. Verduyn Lunel Introduction to Functional Differential Equations 1993 Springer-Verlag New York
2. K. Gopalsamy Stability and Oscillations in Delay Differential Equations of Population Dynamics 1992 Kluwer Academic Dordrecht, The Netherlands
3. Y. Kuang Delay Differential Equations with Applications in Population Dynamics 1993 Academic Press New York
4. J.H. Park, and S. Won Asymptotic stability of neutral systems with multiple delays Journal of Optimization Theory and Applications 103 1999 187 200
5. J. Zhen, and Z. Ma Stability for a competitive Lotka-Volterra system with delays Nonlinear Analysis 51 2002 1131 1142
6. B. Boyd, L.E. Ghaoui, E. Feron, and V. Balakrishnan Linear Matrix Inequalities in Systems and Control Theory 1994 SIAM Philadelphia
7. P. Gahinet, A. Nemirovski, A. Laub, and M. Chilali LMI Control Toolbox User's Guide, The Mathworks 1995 Natick MA