Generalized Stability of Motion and Matrix Lyapunov Functions
Copyright policy )Generalized Stability of Motion and Matrix Lyapunov Functions
The author develops stability criteria for matrix differential equations in terms of matrix Lyapunov functions and matrix valued norm. For this purpose, necessary matrix differential inequalities, existence of extremal solutions and comparison results are proved. An example is given to illustrate the advantage of using matrix Lyapunov functions and matrix valued norm over the method of vector Lyapunov functions.
- Florida Institute of Technology United States
matrix differential equations, extremal solutions, stability criteria, Applied Mathematics, matrix Lyapunov functions, comparison results, Stability of solutions to ordinary differential equations, matrix differential inequalities, Analysis
matrix differential equations, extremal solutions, stability criteria, Applied Mathematics, matrix Lyapunov functions, comparison results, Stability of solutions to ordinary differential equations, matrix differential inequalities, Analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!