\def\Real{\mathord{R \def\Rn{\Real^n \def\A{{\bf A \def\B{{\bf B \def\C{{\bf C \def\F{{\bf F \def\G{{\bf G \def\H{{\bf H \def\I{{\bf I \def\K{{\bf K \def\L{{\bf L \def\M{{\bf M \def\N{{\bf N \def\P{{\bf P \def\Q{{\bf Q \def\R{{\bf R \def\S{{\bf S \def\W{{\bf W \def\bp{{\bf\Phi

Page 29, Fig.~3 $$\commdiag{\Rn&\mapright^{\bp(t_1,t_0)&\Rn\cr &\arrow(3,-2)\lft{\bp(t,t_0)&\mapdown\rt{\bp(t,t_1)\cr &&\Rn\cr$$

Page 48, Fig.~1: $$\commdiag{\Rn&\mapright^{\bp(t,t_0)&\Rn\cr \mapdown\lft{\P(t_0)&&\mapup\rt{\P^{-1(t)\cr \Rn&\mapright^{e^{\R(t-t_0)&\Rn\cr$$

Page 69, Fig.~1: $$\commdiag{\Rn&\mapright^{\M_1&\Real^m\cr \mapdown\lft\Q&&\mapup\rt\P\cr \Rn&\mapright^{\M_2&\Real^m\cr$$

Page 69, Fig.~2: $$\commdiag{\Rn&\mapright^\A&\Rn\cr \mapdown\lft\P&&\mapup\rt{\P’\cr \Rn&\mapright^\S&\Rn\cr$$

Page 71, Fig.~3: $$\commdiag{\Rn&\mapright^\A&\Rn\cr \mapdown\lft\P&&\mapup\rt{\P^{-1\cr \Rn&\mapright^\B&\Rn\cr$$

Page 92, Fig.~1: $$\harrowlength=40pt \varrowlength=24.7pt \sarrowlength=\harrowlength \commdiag{C^m&\mapright^{\B(\sigma)&\Rn&\mapright^{\bp_\A(t_0,\sigma)& \Rn&\mapright^{\int_{t_0^t-d\sigma&\Rn&\mapright^{\bp_\A(t,t_0)& \Rn&\mapright^{\C(t)&C^q\cr &\arrow(3,-2)\lft{\P(\sigma)\B(\sigma)&\mapdown\rt{\P(\sigma)&& \mapdown\rt{\P^{-1(t_0)&&\mapdown\rt{\P(t_0)&&\mapdown\lft{\P^{-1(t)& \arrow(3,2)\rt{\C(t)\P^{-1(t)\cr &&\Rn&\mapright_{\bp_{\A_1(t_0,\sigma)&\Rn&\mapright_{\int_{t_0^t-d\sigma& \Rn&\mapright_{\bp_{\A_1(t,t_0)&\Rn$$

Page 96, Fig.~2: $$\harrowlength=32pt \varrowlength=\harrowlength \sarrowlength=\harrowlength \def\olap#1{\harrowlength=118pt\hbox to0pt{\hss$#1$\hss \commdiag{C^m&&&&&&&&&&C^q\cr \mapup\lft{\G(\sigma) &\hmorphposn=2pt\arrow(1,-1)\rt{\int_{t_0^{t_1-\G(\sigma)\,d\sigma &&&&&&&&\arrow(1,1)\lft{\H(\ )&\mapdown\rt {\int_{t_0^{t_1-\H(\sigma)\,d\sigma\cr \Rn&\mapleft_{\W(t_0,t_1)&\Rn&&&\olap{\mapright^{\I&&& \Rn&\mapleft_{\M(t_0,t_1)&\Rn\cr \mapdown\lft{\P’&&\mapup\lft\P&\arrow(-1,1)\rt\P&&&&\arrow(-1,-1)\lft\Q& \mapdown\rt\Q&&\mapup\rt{\Q’\cr \Rn&\mapright^{\S_1&\Rn&\mapright^{\S_1&\Rn&\harrowlength=20pt \mapright^{\Q\P&\Rn&\mapright^{\S_2&\Rn&\mapright^{\S_2&\Rn\cr &&\mapdown\lft{\N_1&&&&&&\mapup\rt{\N_2\cr &&\Rn&&&\olap{\mapright^{\I&&&\Rn\cr$$

Page 114, Fig.~1: $$\sarrowlength=.42\harrowlength \commdiag{&\Real^m\cr &\arrow(-1,-1)\lft\B\quad \arrow(1,-1)\rt\G\cr \Rn&\mapright^\P&\Rn\cr \mapdown\lft{e^{\A t&&\mapdown\rt{e^{\F t\cr \Rn&\mapright^\P&\Rn\cr &\arrow(1,-1)\lft\C\quad \arrow(-1,-1)\rt\H\cr &\Real^q\cr$$

Page 127, Fig.~2: $$\commdiag{Y&\mapright^{L^*&X\cr &\adjarrow(3,-2)\lft{LL^*\rt{(LL^*)^{-1& \mapdown\rt{L\cr &&Y\cr$$

Page 135, Fig.~2: $$\harrowlength=80pt \varrowlength=40pt \sarrowlength=50pt \def\olap#1{\harrowlength=214pt\hbox to0pt{\hss$#1$\hss \def\vlap#1{\varrowlength=93pt\setbox0=\hbox{$#1$\ht0=0pt\dp0=0pt\box0 \commdiag{\Rn&&&\olap{\mapright^{\dot\K+\A’\K+\K\A+\L&&&\Rn\cr &\arrow(3,-1)\rt\K&&&&\arrow(-3,-1)\lft\K\cr \noalign{\vskip-3pt &&\Rn&\mapright^{\B\B’&\Rn\cr \vlap{\mapdown\lft\P&&\mapup\lft{\P’&&\mapdown\rt\P&&\vlap{\mapup\rt{\P’\cr &&\Rn&\mapleft^{\P\B\B’\P’&\Rn\cr \noalign{\vskip-3pt &\arrow(3,1)\lft{\K_1&&&&\arrow(-3,1)\rt{\K_1\cr \Rn&&&\olap{\mapright_{\dot\K_1+(\P\A\P^{-1+\dot\P\P^{-1)\K_1 +\K_1(\P\A\P^{-1+\dot\P\P^{-1)+\P’^{-1\L\P^{-1&&&\Rn\cr \noalign{\medskip$$

Page 139, Fig.~2: $$\harrowlength=80pt \varrowlength=.618\harrowlength \sarrowlength=\harrowlength \commdiag{\Rn&\mapright^{\B’(\sigma)\bp’(t_0,\sigma)&C^m\cr &\adjarrow(3,-2)\lft{\W(t_0,t_1)\rt{\W^{-1(t_0,t_1)& \mapdown\rt{\int_{t_0^{t_1\bp(t_0,\sigma)\B(\sigma)\,d\sigma\cr &&\Rn\cr$$


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