Stochastic stability of Markovian jumping uncertain stochastic genetic regulatory networks with interval time-varying delays

Mathematical Biosciences

Volumn 226, Issue 2, 2010, Pages 97-108

  Balasubramaniam, P ^a   Rakkiyappan, R ^a   Krishnasamy, R ^a  

^a GANDHIGRAM RURAL UNIVERSITY   (India)

Author keywords

Asymptotic stability; Genetic regulatory networks; Linear matrix inequality; Lyapunov Krasovskii functional; Markovian jumping parameters; Uncertain systems

Indexed keywords

CONTINUOUS TIME; DEPENDENT STABILITY; DISCRETE DELAY; DISCRETE TIME; FINITE STATE SPACES; GENE REGULATIONS; GENETIC REGULATORY NETWORKS; INTERVAL TIME-VARYING DELAYS; JUMPING PARAMETERS; LOWER AND UPPER BOUNDS; LYAPUNOV-KRASOVSKII FUNCTIONALS; MARKOVIAN; MARKOVIAN JUMPING PARAMETERS; NUMERICAL EXAMPLE; PARAMETER UNCERTAINTY; ROBUST STABILITY; STOCHASTIC STABILITY; STOCHASTIC STABILITY THEORY; STRUCTURE VARIATION; THEORETICAL RESULT; TIME VARYING;

ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; DELAY CONTROL SYSTEMS; FUZZY CONTROL; LAWS AND LEGISLATION; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MARKOV PROCESSES; ROBUSTNESS (CONTROL SYSTEMS); STOCHASTIC SYSTEMS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; UNCERTAIN SYSTEMS; UNCERTAINTY ANALYSIS;

STABILITY CRITERIA;

MARKOV CHAIN; NUMERICAL METHOD; STOCHASTICITY;

ARTICLE; GENE CONTROL; GENE REGULATORY NETWORK; MARKOVIAN JUMPING PARAMETER; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; SIMULATION; STOCHASTIC MODEL;

ALGORITHMS; GENE REGULATORY NETWORKS; KINETICS; MARKOV CHAINS; MODELS, GENETIC; STOCHASTIC PROCESSES; UNCERTAINTY;

EID: 77954143077     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2010.04.002     Document Type: Article

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