Title :
A counterexample for positive realization problem
Author :
Kitano, Toyokazu ; Maeda, Hajime
Author_Institution :
Dept. of Commun. Eng., Osaka Univ., Japan
fDate :
4/1/1997 12:00:00 AM
Abstract :
Gives a counterexample for positive realization of impulse response. The positive realization problem is to find a state space model x(k+1)=Ax(k)+bu(k), y(k)=cT x(k) from a given impulse response Hk, k=1, 2, ... of transfer function G(z), in that all the elements of A, b, and c are restricted to be nonnegative real numbers. Such problem occurs in modeling compartmental systems and in the hidden Markov process
Keywords :
hidden Markov models; state-space methods; transfer functions; transient response; compartmental systems; hidden Markov process; impulse response; nonnegative real numbers; positive realization problem; state space model; transfer function; Circuits; Hidden Markov models; Linear systems; Signal processing; State-space methods; Sufficient conditions; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
