The lumped parameter model that was developed m Part I+ is lmemzed to obtam the lmear dynamical model of the system near an unstable steady state When concentration and temperature measurements are possible along the reactor length and their number 1s the same as the number of collocation pomts, modal state-feedback controllers are deslgned to relocate the largest elgenvalues to negative values and thus locally stabilize an unstable steady state Transient calculations of the non-hear system equatlous are preformed and the domain of attraction of the stabdlzed steady state IS exammed for dtierent LocatIons of the elgenvalues of the closed loop system It 1s seen that for both problems I and II the domain of attractlon becomes very large when the unstable and one stable elgenvalue are shdted near the thud largest one This IS true m spite of the large dtierences m theu dynamical characterlstlcs 1 LXNEAR DYNAMICAL MODEL The linearized dlstnbuted equations (I&33), (I-34), (I-46), (I-36)-(1-38) can be as well approximated by the method of orthogonal collocations as can eqns (I-22)-(1-24) The result IS a set of 2N + 1 linear ordmary dtierenteal equations with dependent variables which are the concentratron and temperature devlatlons from the steady state values at the collocation points dvl, -2 Sk,V, + p+(r,kut + TTlrVk) + h(z -Uk) ht -,=, (2) T, m -T', P f(t) (3) where the correspondmg boundary conditions are used to eltmmate uO, c(~, vO, uM as was done m Section I-7 Here RI, and Sk, are identical to the coefficients appearmg m eqn (I-66) and (I-67), and tPresent address Department of Chemical Engmeenng, Ma.