TAESPAE NALYSIS
Solutften flote eg uton (Homoganouu cquation);
hora mcans md erstenee of ?ret
Considex aföst onde dfeotenttal equatbn a
de
"bodhstes.
,Sadt
nca) at tc. i
at t¢..
'0at,e
o) = 8) /lintlal condtion.
aubttue eqne
CE) = at,to)
frorn Stat sectß
Statiegr =AX +B0
Corstderhomqgru y Arorn tht4;
sc)' Ax(E) (5) (ro irth-hoc].
By Compavinq 0stea dferertal equatn th
cbrained X
stote
X(t=Aty
eAt
Sxs)- X) = A xCs)
xes) = (5I-A] xto)
Aly Trvoe daplace
, s) -{(51.a)
4rorsticn maz,
Compare and slate
LStote trans&ion matrix
eAt Canbe Calcuotod lay the above foumala
t Can be Calucatod by ia punbn 4givenb
eAt- ItAt + A't +
Solution of slate equatoo Gron homagrauequot.
ta
ron hornogoreus meong vftènce of opt
Conider the mon hoimó genou,
unous; state
ztoe uato,
xCt) Ax(t}+ Butt)
Aey dapoce o the "above cquaten.
Sxts)-Y(o) Ax)
= +Bycs)'
6-A X(S) = Buts) tx(o)
Ary Tnveye Laplace to the ahove
eowatton.
Xt)=
Obtain the Compete tfme I Pon of the
yeern sepwented by -follauofhrg..cquatirá
XCt)
Solutften flote eg uton (Homoganouu cquation);
hora mcans md erstenee of ?ret
Considex aföst onde dfeotenttal equatbn a
de
"bodhstes.
,Sadt
nca) at tc. i
at t¢..
'0at,e
o) = 8) /lintlal condtion.
aubttue eqne
CE) = at,to)
frorn Stat sectß
Statiegr =AX +B0
Corstderhomqgru y Arorn tht4;
sc)' Ax(E) (5) (ro irth-hoc].
By Compavinq 0stea dferertal equatn th
cbrained X
stote
X(t=Aty
eAt
Sxs)- X) = A xCs)
xes) = (5I-A] xto)
Aly Trvoe daplace
, s) -{(51.a)
4rorsticn maz,
Compare and slate
LStote trans&ion matrix
eAt Canbe Calcuotod lay the above foumala
t Can be Calucatod by ia punbn 4givenb
eAt- ItAt + A't +
Solution of slate equatoo Gron homagrauequot.
ta
ron hornogoreus meong vftènce of opt
Conider the mon hoimó genou,
unous; state
ztoe uato,
xCt) Ax(t}+ Butt)
Aey dapoce o the "above cquaten.
Sxts)-Y(o) Ax)
= +Bycs)'
6-A X(S) = Buts) tx(o)
Ary Tnveye Laplace to the ahove
eowatton.
Xt)=
Obtain the Compete tfme I Pon of the
yeern sepwented by -follauofhrg..cquatirá
XCt)
