Second Order Conditions for Optimality and Local Controllability of Discrete-Time Systems

M. Barbero-Lin͂án; B. Jakubczyk

doi:10.1137/130907719

Second Order Conditions for Optimality and Local Controllability of Discrete-Time Systems

SIAM Journal on Control and Optimization ◽

10.1137/130907719 ◽

2015 ◽

Vol 53 (1) ◽

pp. 352-377

Author(s):

M. Barbero-Lin͂án ◽

B. Jakubczyk

Keyword(s):

Discrete Time ◽

Second Order ◽

Order Conditions ◽

Local Controllability ◽

Discrete Time Systems ◽

Second Order Conditions ◽

Time Systems

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A necessary and sufficient local controllability condition for bilinear discrete-time systems

Proceedings of the 2004 American Control Conference ◽

10.23919/acc.2004.1386833 ◽

2004 ◽

Author(s):

B. Djeridane ◽

J.-L. Calvet

Keyword(s):

Discrete Time ◽

Local Controllability ◽

Discrete Time Systems ◽

Necessary And Sufficient ◽

Time Systems

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Local controllability of Lipschitzian discrete time systems with restrained control in infinite dimensional spaces

Periodica Mathematica Hungarica ◽

10.1007/bf01876371 ◽

1994 ◽

Vol 28 (1) ◽

pp. 63-72

Author(s):

I. Joó ◽

Nguyen Van Su

Keyword(s):

Discrete Time ◽

Local Controllability ◽

Infinite Dimensional ◽

Discrete Time Systems ◽

Time Systems

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Geometric local controllability: second-order conditions

Proceedings of the 41st IEEE Conference on Decision and Control, 2002. ◽

10.1109/cdc.2002.1184521 ◽

2003 ◽

Cited By ~ 10

Author(s):

R.M. Hirschorn ◽

A.D. Lewis

Keyword(s):

Second Order ◽

Order Conditions ◽

Local Controllability ◽

Second Order Conditions

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Second-order conditions for local controllability

Systems & Control Letters ◽

10.1016/s0167-6911(98)00067-x ◽

1998 ◽

Vol 35 (5) ◽

pp. 287-290 ◽

Cited By ~ 6

Author(s):

J. Basto-Gonçalves

Keyword(s):

Second Order ◽

Order Conditions ◽

Local Controllability ◽

Second Order Conditions

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Analysis of Second-Order Modes of Linear Discrete-Time Systems under Bounded-Real Transformations

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1093/ietfec/e90-a.11.2510 ◽

2007 ◽

Vol E90-A (11) ◽

pp. 2510-2515 ◽

Cited By ~ 5

Author(s):

S. KOSHITA ◽

M. ABE ◽

M. KAWAMATA

Keyword(s):

Discrete Time ◽

Second Order ◽

Discrete Time Systems ◽

Time Systems

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Necessary and Sufficient Conditions for Proportional Local Controllability of Lyapunov Exponents in Linear Discrete-Time Systems

Differential Equations ◽

10.1134/s0012266120010139 ◽

2020 ◽

Vol 56 (1) ◽

pp. 120-130

Author(s):

I. N. Banshchikova ◽

S. N. Popova

Keyword(s):

Lyapunov Exponents ◽

Discrete Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Local Controllability ◽

Discrete Time Systems ◽

Necessary And Sufficient ◽

Time Systems

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Second-Order Extended $H_{\infty}$ Filter for Nonlinear Discrete-Time Systems Using Quadratic Error Matrix Approximation

IEEE Transactions on Signal Processing ◽

10.1109/tsp.2011.2138700 ◽

2011 ◽

Vol 59 (7) ◽

pp. 3110-3119 ◽

Cited By ~ 16

Author(s):

Jwu-Sheng Hu ◽

Chia-Hsing Yang

Keyword(s):

Discrete Time ◽

Second Order ◽

Matrix Approximation ◽

Quadratic Error ◽

Error Matrix ◽

Discrete Time Systems ◽

Time Systems

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Modelling of Linear Discrete-Time Systems Using Second-Order Information

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.24.32 ◽

1988 ◽

Vol 24 (1) ◽

pp. 32-39

Author(s):

Kazumi HORIGUCHI ◽

Akira NAGATA

Keyword(s):

Discrete Time ◽

Second Order ◽

Order Information ◽

Discrete Time Systems ◽

Time Systems

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A Novel Property of the Second-Order Modes of Discrete-Time Systems under Variable Transformation

2005 IEEE International Symposium on Circuits and Systems ◽

10.1109/iscas.2005.1464752 ◽

2005 ◽

Cited By ~ 1

Author(s):

S. Koshita ◽

M. Abe ◽

M. Kawamata

Keyword(s):

Discrete Time ◽

Second Order ◽

Variable Transformation ◽

Discrete Time Systems ◽

Time Systems

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Consensus control of linear second-order discrete-time systems with guaranteed rate of convergence

2015 European Control Conference (ECC) ◽

10.1109/ecc.2015.7330750 ◽

2015 ◽

Author(s):

Michael Fruhnert ◽

Martin Corless

Keyword(s):

Rate Of Convergence ◽

Discrete Time ◽

Second Order ◽

Consensus Control ◽

Discrete Time Systems ◽

Time Systems

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