Lyapunov Stability of Quasilinear Implicit Dynamic Equations on Time Scales
نویسندگان
چکیده
with A. being a given m × m-matrix function, has been an intensively discussed field in both theory and practice. This problem can be seen in many real problems, such as in electric circuits, chemical reactions, and vehicle systems. März in 1 has dealt with the question whether the zero-solution of 1.1 is asymptotically stable in the Lyapunov sense with f t, x′ t , x t Bx t g t, x′ t , x t , with A being constant and small perturbation g. Together with the theory of DAEs, there has been a great interest in singular difference equation SDE also referred to as descriptor systems, implicit difference equations
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