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Murty, M.S.N.,Kumar, G. Suresh Korean Mathematical Society 2008 대한수학회지 Vol.45 No.5
This paper deals with the study of dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems, with the help of Kronecker product of matrices. Further, we obtain close relationship between the stability bounds of the problem on one hand, and the growth behaviour of the fundamental matrix solution on the other hand.
CONTROLLABILITY, OBSERVABILITY, AND REALIZABILITY OF MATRIX LYAPUNOV SYSTEMS
Murty M.S.N.,Rao B.V. Appa,Kumar G. Suresh Korean Mathematical Society 2006 대한수학회보 Vol.43 No.1
This paper presents necessary and sufficient conditions for complete controllability, complete observability and realizability associated with matrix Lyapunov systems under certain smoothness conditions.
THREE POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER FUZZY DIFFERENTIAL EQUATIONS
Murty, M.S.N.,Kumar, G. Suresh 충청수학회 2006 충청수학회지 Vol.19 No.1
In this paper, we develop existence and uniqueness criteria to certain class of three point boundary value problems associated with third order nonlinear fuzzy differential equations, with the help of Green's functions and contraction mapping principle.
M. S. N. Murty,G. Suresh Kumar 대한수학회 2008 대한수학회지 Vol.45 No.5
This paper deals with the study of dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems, with the help of Kronecker product of matrices. Further, we obtain close relationship between the stability bounds of the problem on one hand, and the growth behaviour of the fundamental matrix solution on the other hand.
Controllability, observability, andrealizability of matrix Lyapunov systems
M. S. N. Murty,B. V. Appa Rao,G. Suresh Kumar 대한수학회 2006 대한수학회보 Vol.43 No.1
This paper presents necessary and sufficient conditions forcomplete controllability, complete observability and realizabilityassociated with matrix Lyapunov systems under certain smoothness conditions.
M. Venkata Ramanaa,N. Ramamanohar Reddy,G. Sreenivasulu,K.V. Siva kumar,B.S. Murty,V.R.K. Murthy 한국물리학회 2009 Current Applied Physics Vol.9 No.5
Multiferroic particulate composites of Ni0.83Co0.15Cu0.02Fe1.9O4-δ – NCCF and lead zirconate titanate (PZT) were prepared conventional ceramic method. The generic formulae x NCCF + (1-x) PZT where x = 0.1, 0.2, 0.3, 0.4, 0.5 and 0.6 mole fractions. The presence of two phases in multiferroic was confirmed with XRD technique. The dielectric constant and loss tangent were studied as a function of frequency (100 Hz to 1 M Hz) and temperature (30–500 ℃). The piezoelectric coefficient d33 were also studied on these particulate composites. The hysteresis behaviour was studied to understand the magnetic properties such as saturation magnetization (Ms) and magnetic moment (μB). The static magnetoelectric (ME) voltage coefficient was measured as a function of dc magnetic bias field. A high value of ME output (3151 mV/Oe.cm) was obtained in the composite containing 50% highly magnetostrictive ferrite component NCCF – 50% highly piezoelectric ferroelectric component PZT. These multiferroic particulate composites are used as phase shifters, magnetic sensors, cables etc. Multiferroic particulate composites of Ni0.83Co0.15Cu0.02Fe1.9O4-δ – NCCF and lead zirconate titanate (PZT) were prepared conventional ceramic method. The generic formulae x NCCF + (1-x) PZT where x = 0.1, 0.2, 0.3, 0.4, 0.5 and 0.6 mole fractions. The presence of two phases in multiferroic was confirmed with XRD technique. The dielectric constant and loss tangent were studied as a function of frequency (100 Hz to 1 M Hz) and temperature (30–500 ℃). The piezoelectric coefficient d33 were also studied on these particulate composites. The hysteresis behaviour was studied to understand the magnetic properties such as saturation magnetization (Ms) and magnetic moment (μB). The static magnetoelectric (ME) voltage coefficient was measured as a function of dc magnetic bias field. A high value of ME output (3151 mV/Oe.cm) was obtained in the composite containing 50% highly magnetostrictive ferrite component NCCF – 50% highly piezoelectric ferroelectric component PZT. These multiferroic particulate composites are used as phase shifters, magnetic sensors, cables etc.
THREE POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER FUZZY DIFFERENTIAL EQUATIONS
M.S.N. Murty,G. Suresh Kumar 충청수학회 2006 충청수학회지 Vol.19 No.1
In this paper, we develop existence and uniqueness criteria to certain class of three point boundary value problems associated with third order nonlinear fuzzy differential equations, with the help of Green’s functions and contraction mapping principle.