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International Journal of Control Volume 46, 1987 - Issue 5
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Original Articles

Boundary-value descriptor systems: well-posedness, reachability and observability

RAMINE NIKOUKHAH† Department of Electrical Engineering and Computer Science and the Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, U.S.A.
,
ALAN S. WILLSKY† Department of Electrical Engineering and Computer Science and the Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, U.S.A.
&
BERNARD C. LEVY† Department of Electrical Engineering and Computer Science and the Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, U.S.A.
Pages 1715-1737 | Received 05 Jan 1987, Published online: 25 Jun 2007

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N. P. Karampetakis, S. Vologiannidis & A. I. G. Vardulakis. (2004) A new notion of equivalence for discrete time AR representations. International Journal of Control 77:6, pages 584-597.
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Lee-Chuang Hsu, Hsin-Min Peng & Fan-Ran Chang. (1997) COMPUTATION OF TRANSFER FUNCTION MATRICES OF GENERALIZED STATE-SPACE SYSTEMS. Journal of the Chinese Institute of Engineers 20:4, pages 471-479.
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G. F. FRAGULIS. (1995) Generalized Cayley-Hamilton theorem for polynomial matrices with arbitrary degree. International Journal of Control 62:6, pages 1341-1349.
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J. S. H. TSAI, C. P. FAN & L. S. SHIEH. (1995) Implementation of state-feedback control law for singular systems via an input-output feedback structure. International Journal of Systems Science 26:11, pages 2139-2158.
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Hung‐Chou Chen & Fan‐Ren Chang. (1993) Parametric eigenstructure assignment for singular systems by the standard form approach. Journal of the Chinese Institute of Engineers 16:2, pages 225-235.
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C. GEORGIOU, G. P. MANTAS & N. J. KRIKELIS. (1991) Dual linear quadratic optimal control for two-point boundary value descriptor systems. International Journal of Systems Science 22:11, pages 2321-2327.
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RAMINE NIKOUKHAH, ALANS. WILLSKY & BERNARDC. LEVY. (1991) Reachability, observability, minimality, and extendibility for two-point boundary-value descriptor systems. International Journal of Control 54:3, pages 635-663.
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A.I. Vardulakis, N.P. Karampetakis, E. Antoniou & S. Vologiannidis. (2008) Descriptor systems toolbox : a Mathematica-based package for descriptor systems. Descriptor systems toolbox : a Mathematica-based package for descriptor systems.
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D. Hinrichsen, W. Manthey & U. Helmke. (2001) Minimal partial realization by descriptor systems. Linear Algebra and its Applications 326:1-3, pages 45-84.
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N. P. Karampetakis, J. Jones & E. N. Antoniou. (2001) Forward, backward, and symmetric solutions of discrete ARMA representations. Circuits Systems and Signal Processing 20:1, pages 89-109.
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Sven Feldmann & Georg Heinig. (2000) Partial realization for singular systems in standard form. Linear Algebra and its Applications 318:1-3, pages 127-144.
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Tie-Jun Yu, Ching-Fang Lin & Peter Mueller. (1998) On the boundary recursion for descriptor systems and its applications to estimation. On the boundary recursion for descriptor systems and its applications to estimation.
S. Antoniou, N. Karampetakis & A. Vardulakis. (1997) A classification of the solutions of non-regular, discrete-time descriptor systems. A classification of the solutions of non-regular, discrete-time descriptor systems.
W. Manthey, U. Helmke & D. Hinrichsen. 1997. Operators, Systems and Linear Algebra. Operators, Systems and Linear Algebra 138 156 .
Lee-Chuang Hsu & Fan-Ren Chang. (1996) The generalized Ackermann's formula for singular systems. Systems & Control Letters 27:2, pages 117-123.
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Zou Yun & Yang Chengwu. (1995) Algorithms for the computation of the transfer function matrix for two-dimensional regular and singular general state-space models. Automatica 31:9, pages 1311-1315.
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G.F. Fragulis. (1995) Extension of Cayley-Hamilton theorem for arbitrary polynomial matrices. Extension of Cayley-Hamilton theorem for arbitrary polynomial matrices.
E. Feron. (1994) Analysis of robust H/sub 2/ performance with multipliers. Analysis of robust H/sub 2/ performance with multipliers.
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Jason Sheng-Horng Tsai, Chu-Tong Wang & Leang San Shieh. (1993) Model conversion and digital redesign of singular systems. Journal of the Franklin Institute 330:6, pages 1063-1086.
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Hung-Chou Chen & Fan-Ren Chang. (1993) Chained eigenstructure assignment for strongly controllable singular systems. Circuits, Systems, and Signal Processing 12:3, pages 391-407.
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L.E. Holloway. (1993) The challenge of intelligent sensing of monitoring and control. The challenge of intelligent sensing of monitoring and control.
Tie-Jun Yu & P.C. Muller. (1993) Stable boundary recursions for descriptor variable systems. Stable boundary recursions for descriptor variable systems.
M. Kuijper. (1992) Descriptor representations without direct feedthrough term. Automatica 28:3, pages 633-637.
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F.R. Chang & H.C. Chen. (1992) The generalized Cayley-Hamilton theorem for standard pencils. Systems & Control Letters 18:3, pages 179-182.
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H.-C. Chen & F.-R. Chang. (1992) A controllable canonical form for constant-ratio proportional and derivative (CRPD) feedbacks in generalized systems. A controllable canonical form for constant-ratio proportional and derivative (CRPD) feedbacks in generalized systems.
S.M. Kherat, E. Yaz & S.M. Swei. (1992) Boundary covariance assignment for stochastic descriptor systems. Boundary covariance assignment for stochastic descriptor systems.
Y. Uetake. (1992) Realization of noncausal 2-D systems based on a descriptor model. IEEE Transactions on Automatic Control 37:11, pages 1837-1840.
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R. Nikoukhah, A.S. Willsky & B.C. Levy. (1992) Kalman filtering and Riccati equations for descriptor systems. IEEE Transactions on Automatic Control 37:9, pages 1325-1342.
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F.L. Lewis. (1992) A tutorial on the geometric analysis of linear time-invariant implicit systems. Automatica 28:1, pages 119-137.
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R. Nikoukhah. (1991) Constructing autonomous boundary-value linear systems from acausal input-output functions. Integral Equations and Operator Theory 14:6, pages 837-874.
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Ramine Nikoukhah, Bernard C. Levy & Alan S. Willsky. (1991) Realization of Acausal Weighting Patterns with Boundary Value Descriptor Systems. SIAM Journal on Control and Optimization 29:2, pages 420-444.
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A. Banaszuk, M. KocieP˛cki & K. M. Przyłuski. (1990) The Disturbance Decoupling Problem for Implicit Linear Discrete-Time Systems. SIAM Journal on Control and Optimization 28:6, pages 1270-1293.
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F.L. Lewis & B.G. Mertzios. (1990) On the analysis of discrete linear time-invariant singular systems. IEEE Transactions on Automatic Control 35:4, pages 506-511.
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Ramine Nikoukhah. 1990. Analysis and Optimization of Systes. Analysis and Optimization of Systes 67 76 .
Ramine Nikoukhah, Bernard C. Levy & Alan S. Willsky. 1990. Realization and Modelling in System Theory. Realization and Modelling in System Theory 287 301 .
Ramine Nikoukhah, Alan S. Willsky & Bernard C. Levy. (1989) Reachability, observability, and minimality for shift-invariant two-point boundary-value descriptor systems. Circuits, Systems, and Signal Processing 8:3, pages 313-340.
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R. W. Newcomb & B. Dziurla. (1989) Some circuits and systems applications of semistate theory. Circuits, Systems, and Signal Processing 8:3, pages 235-260.
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D.G. Luenberger. (1989) Boundary recursion for descriptor variable systems. IEEE Transactions on Automatic Control 34:3, pages 287-292.
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Ramine Nikoukhah, Milton B. Adams, Alan S. Willsky & Bernard C. Levy. (1989) Estimation for boundary-value descriptor systems. Circuits, Systems, and Signal Processing 8:1, pages 25-48.
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R. Nikoukhah, B.C. Levy & A.S. Willsky. (1989) Stability, stochastic stationarity, and generalized Lyapunov equations for two-point boundary-value descriptor systems. IEEE Transactions on Automatic Control 34:11, pages 1141-1152.
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