Method of vector lyapunov functions for impulsive fuzzy systems

Dynamic Systems and Applications

Volumn 13, Issue 3-4, 2004, Pages 521-532

  Devi, J Vasundhara ^a   Vatsala, A S ^b,c  

^a Florida Institute of Technology ^*  (United States)

^b UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

^c GVP College for Degree and PG Courses   (India)

Author keywords

Impulsive and Fuzzy Systems; Vector Lyapunov Functions

Indexed keywords

HAUSDROFF DISTANCE; HUKUHARA DIFFERENCE; IMPULSIVE AND FUZZY SYSTEMS; VECTOR LYAPUNOV FUNCTIONS;

DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY; SYSTEM STABILITY; THEOREM PROVING; VECTORS;

FUZZY SETS;

EID: 12844251325     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. Bernfeld, S.R. & Lakshmikantham, V., (1974). An Introduction to Nonlinear Boundary Value Problems, New York: Academic Press.
2. Lakshmikantham, V., Bainov, D.D. & P.S. Simeonov, (1989) Theory of Impulsive Differential Equations. World Scientific, Singapore.
3. Lakshmikantham, V. & Leela, S. (1969). Differential and Integral Inequalities, V I, New York: Academic Press.
4. Lakshmikantham, V., Matrosov, V.M. & S. Sivasundaram, (1991) Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems, Kluwer Academic Publisher.
5. Lakshmikantham, V. &: Mohapatra, R. (2003). Theory of Fuzzy Differential Equations and Inclusion, London: Taylor & Francis.
6. Lakshmikantham, V. & Vatsala, A. S. (2003). Hybrid Impulsive Fuzzy Differential Systems. International Journal of Hybrid Systems, V 3, No. 1, pp. 81-94.