A simple procedure for the stabilization of a class of uncontrollable generalized systems

This paper gives a simple procedure for the stabilization, with a prescribed rate of convergence of the free motions, of a class of (possibly, single-input) uncontrollable generalized continuous-time time-invariant linear systems, preserving the impulse-free property (if any).

[1]  Zhong-jun Zhang,et al.  Pole placement and compensator design of generalized systems , 1987 .

[2]  Andrzej Banaszuk,et al.  The disturbance decoupling problem for implicit linear discrete-time systems , 1990 .

[3]  An approach for pole assignment in singular systems , 1989 .

[4]  J. Vandewalle,et al.  Inversion of singular systems , 1988 .

[5]  D. Cobb Feedback and pole placement in descriptor variable Systems , 1981 .

[6]  P. Dooren,et al.  A reduced order observer for descriptor systems , 1986 .

[7]  Andrzej Banaszuk,et al.  Implicit linear discrete-time systems , 1990, Math. Control. Signals Syst..

[8]  Observer design for singular systems using canonical forms , 1986, 1986 25th IEEE Conference on Decision and Control.

[9]  Luciano Pandolfi,et al.  Controllability and stabilization for linear systems of algebraic and differential equations , 1980 .

[10]  R. F. Sincovec,et al.  Solvability, controllability, and observability of continuous descriptor systems , 1981 .

[11]  F. Lewis A survey of linear singular systems , 1986 .

[12]  N. Nichols,et al.  Eigenstructure assignment in descriptor systems , 1986 .

[13]  M. Shayman,et al.  Singular systems: A new approach in the time domain , 1986, 1986 25th IEEE Conference on Decision and Control.

[14]  A. Banaszuk,et al.  On almost invariant subspaces for implicit linear discrete-time systems , 1988 .

[15]  David G. Luenberger,et al.  Time-invariant descriptor systems , 1978, Autom..

[16]  Frank L. Lewis,et al.  A geometric approach to eigenstructure assignment for singular systems , 1987 .

[17]  Vinicius Amaral Armentano,et al.  Eigenvalue placement for generalized linear systems , 1984 .

[18]  P. Moylan Stable inversion of linear systems , 1977 .

[19]  A. Perdon,et al.  Generalized state space realizations of non-proper rational transfer functions , 1982 .

[20]  L. Dai Observers for discrete singular systems , 1988 .

[21]  A. Ailon Controllability of generalized linear time-invariant systems , 1987 .

[22]  T. Kailath,et al.  A generalized state-space for singular systems , 1981 .