Title of article :
controllability and observability of linear impulsive differential algebraic system with caputo fractional derivative
Author/Authors :
zehra, anum pakistan institute of engineering and technology, multan, pakistan , younus, awais bahauddin zakariya university - centre for advanced studies in pure and applied mathematics, multan, pakistan , tunc, cemil van yuzuncu yil university - faculty of sciences - department of mathematics, van, turkey
Abstract :
linear impulsive fractional differential-algebraic systems (lifdas) in a nite dimensional space are studied. we obtain the solution of lifdas. using gramian matrices, necessary and sufficient conditions for controllability and observability of time-varying lifdas are established. we acquired the criterion for time-invariant lifdas in the form of rank conditions. the results are more generalized than the results that are obtained for various differential-algebraic systems without impulses.
Keywords :
controllability , observability , drazin inverse , caputo fractional derivative
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
