Number of items: 64.
(half-line) dissipativity
Rapisarda, Paolo and Kojima, Chiaki (2010) Stabilization, Lyapunov functions, and dissipation. Systems and Control Letters, 59, (12), .
2-D system
Napp-Avelli, Diego, Rapisarda, Paolo and Rocha, Paula (2011) Lyapunov stability of 2D finite-dimensional behaviors. International Journal of Control, 84, (4), .
Rapisarda, Paolo and Takaba, Kiyotsugu (2009) Counterexample to "Generalized eigenvalue-based stability tests for 2D linear systems: Necessary and sufficient conditions''. Automatica
2-D systems
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov Stability Analysis of Higher Order 2D Systems. In, Springer LNCIS. , Springer Verlag Berlin.
2D system
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov stability analysis of higher-order 2D systems. Multidimensional Systems and Signal Processing, 22, .
2D systems
Rapisarda, Paolo, Napp-Avelli, Diego and Rocha, Paula (2011) Time-relevant stability of 2D systems. Automatica
adjoint systems
van der Schaft, Arjan and Rapisarda, Paolo (2011) State Maps from Integration by Parts. SIAM Journal on Control and Optimization, 49, (6), .
Approximate system identification
Markovsky, Ivan, Willems, Jan C., Rapisarda, Paolo and de Moor, Bart L.M. (2005) Algorithms for deterministic balanced subspace identification. Automatica, 41, .
Balanced model reduction
Markovsky, Ivan, Willems, Jan C., Rapisarda, Paolo and de Moor, Bart L.M. (2005) Algorithms for deterministic balanced subspace identification. Automatica, 41, .
balanced truncation
Ha, Minh B., Rapisarda, Paolo and Trentelman, Harry L. (2008) Model reduction of dissipative systems by balanced truncation. In, 17th IFAC World Congress, Seoul, South Korea, 06 - 11 Jul 2008.
behavior homomorphisms
Fuhrmann, Paul A., Rapisarda, Paolo and Yamamoto, Yutaka (2007) On the state of behaviors. Linear Algebra and Its Applications, 424, (2-3), .
behavioral approach
Napp-Avelli, Diego, Rapisarda, Paolo and Rocha, Paula (2011) Lyapunov stability of 2D finite-dimensional behaviors. International Journal of Control, 84, (4), .
Kojima, Chiaki, Takaba, Kiyotsugu, Kaneko, Osamu and Rapisarda, Paolo (2006) Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms. Linear Algebra and Its Applications, 416, (2-3), .
Kaneko, Osamu, Takaba, Kiyotsugu and Rapisarda, Paolo (2005) Totally dissipative systems. Systems and Control Letters, 54, (7), .
Kaneko, Osamu and Rapisarda, Paolo (2003) Recursive exact H-infinity identification from impulse-response measurements. Systems and Control Letters, 49, .
Behavioral system theory
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2007) Canonical forms for polynomial and quadratic differential operators. Systems and Control Letters, 56, (11-12), .
Rapisarda, Paolo and Trentelman, Harry L. (2004) Linear Hamiltonian behaviors and bilinear differential forms. SIAM Journal on Control and Optimization, 43, (3), .
Rapisarda, Paolo and Willems, Jan C. (1997) State maps for linear systems. SIAM Journal on Control and Optimization, 35, (3), .
behaviors
Ha, Minh Binh, Rapisarda, Paolo and Trentelman, Harry L. (2009) Dissipativity preserving model reduction by retention of tra jectories of minimal dissipation. Mathematics of Control, Signals, and Systems (MCSS)
Fuhrmann, Paul A., Rapisarda, Paolo and Yamamoto, Yutaka (2007) On the state of behaviors. Linear Algebra and Its Applications, 424, (2-3), .
Rapisarda, Paolo and Trentelman, Harry L. (2002) The behavioral approach to systems and modeling. Mathematical and Computer Modeling of Dynamical Systems, 8, (4), .
bilinear and quadratic differential forms
Rapisarda, Paolo and Trentelman, Harry L. (2004) Linear Hamiltonian behaviors and bilinear differential forms. SIAM Journal on Control and Optimization, 43, (3), .
bilinear differential forms
van der Schaft, Arjan J. and Rapisarda, Paolo (2011) From External to Internal System Decompositions. In, 18th IFAC World Congress, Milano, Italy, 28 Aug - 02 Sep 2011.
Bilinear- and quadratic differential forms
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2007) Canonical forms for polynomial and quadratic differential operators. Systems and Control Letters, 56, (11-12), .
Rapisarda, Paolo and Trentelman, Harry L. (2002) Hamiltonian and Variational Linear Distributed Systems. Mathematical and Computer Modeling of Dynamical Systems, 8, (4), .
Canonical forms
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2007) Canonical forms for polynomial and quadratic differential operators. Systems and Control Letters, 56, (11-12), .
conserved quantities
Rao, Shodhan and Rapisarda, Paolo (2008) Higher-order linear lossless systems. International Journal of Control, 81, (10), .
Rao, Shodhan and Rapisarda, Paolo (2006) Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems. In, 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 24 - 28 Jul 2006.
controllable part
van der Schaft, Arjan J. and Rapisarda, Paolo (2011) From External to Internal System Decompositions. In, 18th IFAC World Congress, Milano, Italy, 28 Aug - 02 Sep 2011.
data-driven control
Rapisarda, Paolo and Markovsky, Ivan (2008) Why “state” feedback? In, 17th IFAC World Congress, Seoul, South Korea, 06 - 11 Jul 2008.
differential-algebraic equations
Rapisarda, Paolo and Willems, Jan C. (1997) State maps for linear systems. SIAM Journal on Control and Optimization, 35, (3), .
Discrete-time algebraic Riccati equation
Kojima, Chiaki, Takaba, Kiyotsugu, Kaneko, Osamu and Rapisarda, Paolo (2006) Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms. Linear Algebra and Its Applications, 416, (2-3), .
Dissipative system
Kojima, Chiaki, Takaba, Kiyotsugu, Kaneko, Osamu and Rapisarda, Paolo (2006) Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms. Linear Algebra and Its Applications, 416, (2-3), .
Dissipative systems
Rapisarda, Paolo and Trentelman, Harry (2011) Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data. Automatica, 47, .
Kaneko, Osamu, Takaba, Kiyotsugu and Rapisarda, Paolo (2005) Totally dissipative systems. Systems and Control Letters, 54, (7), .
driving variable representation
Ha, Minh Binh, Rapisarda, Paolo and Trentelman, Harry L. (2009) Dissipativity preserving model reduction by retention of tra jectories of minimal dissipation. Mathematics of Control, Signals, and Systems (MCSS)
driving-variable representation
Ha, Minh B., Rapisarda, Paolo and Trentelman, Harry L. (2008) Model reduction of dissipative systems by balanced truncation. In, 17th IFAC World Congress, Seoul, South Korea, 06 - 11 Jul 2008.
energy function.
Rao, Shodhan and Rapisarda, Paolo (2008) Higher-order linear lossless systems. International Journal of Control, 81, (10), .
Exact deterministic subspace identification
Markovsky, Ivan, Willems, Jan C., Rapisarda, Paolo and de Moor, Bart L.M. (2005) Algorithms for deterministic balanced subspace identification. Automatica, 41, .
factorization
van der Schaft, Arjan and Rapisarda, Paolo (2011) State Maps from Integration by Parts. SIAM Journal on Control and Optimization, 49, (6), .
van der Schaft, Arjan J. and Rapisarda, Paolo (2011) From External to Internal System Decompositions. In, 18th IFAC World Congress, Milano, Italy, 28 Aug - 02 Sep 2011.
Faddeev’s method
Peeters, Ralf and Rapisarda, Paolo (2001) A two-variable approach to solve the polynomial Lyapunov equation. Systems and Control Letters, 42, .
four-variable polynomial algebra
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov Stability Analysis of Higher Order 2D Systems. In, Springer LNCIS. , Springer Verlag Berlin.
generalized Lagrangian
Rao, Shodhan and Rapisarda, Paolo (2006) Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems. In, 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 24 - 28 Jul 2006.
Gramian
Rapisarda, Paolo and Trentelman, Harry (2011) Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data. Automatica, 47, .
Gröbner bases
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2007) Canonical forms for polynomial and quadratic differential operators. Systems and Control Letters, 56, (11-12), .
Hamiltonian systems
van der Schaft, Arjan and Rapisarda, Paolo (2011) State Maps from Integration by Parts. SIAM Journal on Control and Optimization, 49, (6), .
Identification
Rapisarda, Paolo and Trentelman, Harry (2011) Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data. Automatica, 47, .
inconsequential inputs
Rao, Shodhan and Rapisarda, Paolo (2008) Higher-order linear lossless systems. International Journal of Control, 81, (10), .
integration by parts
van der Schaft, Arjan and Rapisarda, Paolo (2011) State Maps from Integration by Parts. SIAM Journal on Control and Optimization, 49, (6), .
van der Schaft, Arjan J. and Rapisarda, Paolo (2011) From External to Internal System Decompositions. In, 18th IFAC World Congress, Milano, Italy, 28 Aug - 02 Sep 2011.
interconnection
Rapisarda, Paolo and Kojima, Chiaki (2010) Stabilization, Lyapunov functions, and dissipation. Systems and Control Letters, 59, (12), .
intrinsically zero-mean quantities
Rao, Shodhan and Rapisarda, Paolo (2006) Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems. In, 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 24 - 28 Jul 2006.
Kalman decomposition
van der Schaft, Arjan J. and Rapisarda, Paolo (2011) From External to Internal System Decompositions. In, 18th IFAC World Congress, Milano, Italy, 28 Aug - 02 Sep 2011.
linear differential systems
Rapisarda, Paolo and Trentelman, Harry L. (2002) The behavioral approach to systems and modeling. Mathematical and Computer Modeling of Dynamical Systems, 8, (4), .
Linear Hamiltonian systems
Rapisarda, Paolo and Trentelman, Harry L. (2004) Linear Hamiltonian behaviors and bilinear differential forms. SIAM Journal on Control and Optimization, 43, (3), .
Rapisarda, Paolo and Trentelman, Harry L. (2002) Hamiltonian and Variational Linear Distributed Systems. Mathematical and Computer Modeling of Dynamical Systems, 8, (4), .
linear oscillatory systems
Rao, Shodhan and Rapisarda, Paolo (2008) Higher-order linear lossless systems. International Journal of Control, 81, (10), .
Rao, Shodhan and Rapisarda, Paolo (2006) Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems. In, 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 24 - 28 Jul 2006.
Linear oscillatory systems - Two-variable polynomial matrices - Quadratic differential forms - Behavioral system theory - Equipartition of energy
Rapisarda, Paolo and Willems, Jan C. (2005) Conserved- and zero-mean quadratic quantities in oscillatory systems. Mathematics of Control, Signals, and Systems (MCSS), 17, (3), .
linear systems
Rapisarda, Paolo and Kojima, Chiaki (2010) Stabilization, Lyapunov functions, and dissipation. Systems and Control Letters, 59, (12), .
linear variational systems
Rapisarda, Paolo and Trentelman, Harry L. (2002) Hamiltonian and Variational Linear Distributed Systems. Mathematical and Computer Modeling of Dynamical Systems, 8, (4), .
LMI
Rapisarda, Paolo, Napp-Avelli, Diego and Rocha, Paula (2011) Time-relevant stability of 2D systems. Automatica
Lossless systems
Rapisarda, Paolo and Trentelman, Harry (2011) Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data. Automatica, 47, .
LQ-control problem
Rapisarda, Paolo and Markovsky, Ivan (2008) Why “state” feedback? In, 17th IFAC World Congress, Seoul, South Korea, 06 - 11 Jul 2008.
Lyapunov function
Napp-Avelli, Diego, Rapisarda, Paolo and Rocha, Paula (2011) Lyapunov stability of 2D finite-dimensional behaviors. International Journal of Control, 84, (4), .
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov stability analysis of higher-order 2D systems. Multidimensional Systems and Signal Processing, 22, .
Lyapunov functions.
Rapisarda, Paolo and Kojima, Chiaki (2010) Stabilization, Lyapunov functions, and dissipation. Systems and Control Letters, 59, (12), .
Lyapunov stability
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov Stability Analysis of Higher Order 2D Systems. In, Springer LNCIS. , Springer Verlag Berlin.
Markovian systems
Fuhrmann, Paul A., Rapisarda, Paolo and Yamamoto, Yutaka (2007) On the state of behaviors. Linear Algebra and Its Applications, 424, (2-3), .
Matrix pencil
Rapisarda, Paolo and Takaba, Kiyotsugu (2009) Counterexample to "Generalized eigenvalue-based stability tests for 2D linear systems: Necessary and sufficient conditions''. Automatica
minimal dissipation
Ha, Minh Binh, Rapisarda, Paolo and Trentelman, Harry L. (2009) Dissipativity preserving model reduction by retention of tra jectories of minimal dissipation. Mathematics of Control, Signals, and Systems (MCSS)
Model reduction
Rapisarda, Paolo and Trentelman, Harry (2011) Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data. Automatica, 47, .
Ha, Minh Binh, Rapisarda, Paolo and Trentelman, Harry L. (2009) Dissipativity preserving model reduction by retention of tra jectories of minimal dissipation. Mathematics of Control, Signals, and Systems (MCSS)
Ha, Minh B., Rapisarda, Paolo and Trentelman, Harry L. (2008) Model reduction of dissipative systems by balanced truncation. In, 17th IFAC World Congress, Seoul, South Korea, 06 - 11 Jul 2008.
modeling
Rapisarda, Paolo and Trentelman, Harry L. (2002) The behavioral approach to systems and modeling. Mathematical and Computer Modeling of Dynamical Systems, 8, (4), .
Most powerful unfalsified model
Kaneko, Osamu and Rapisarda, Paolo (2003) Recursive exact H-infinity identification from impulse-response measurements. Systems and Control Letters, 49, .
MPUM
Markovsky, Ivan, Willems, Jan C., Rapisarda, Paolo and de Moor, Bart L.M. (2005) Algorithms for deterministic balanced subspace identification. Automatica, 41, .
multi-variable polynomial matrices
Rapisarda, Paolo and Trentelman, Harry L. (2002) Hamiltonian and Variational Linear Distributed Systems. Mathematical and Computer Modeling of Dynamical Systems, 8, (4), .
Nevanlinna interpolation problem
Ha, Minh Binh, Rapisarda, Paolo and Trentelman, Harry L. (2009) Dissipativity preserving model reduction by retention of tra jectories of minimal dissipation. Mathematics of Control, Signals, and Systems (MCSS)
output nulling representations
Ha, Minh Binh, Rapisarda, Paolo and Trentelman, Harry L. (2009) Dissipativity preserving model reduction by retention of tra jectories of minimal dissipation. Mathematics of Control, Signals, and Systems (MCSS)
Polynomial differential operators
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2007) Canonical forms for polynomial and quadratic differential operators. Systems and Control Letters, 56, (11-12), .
polynomial Lyapunov equation
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov stability analysis of higher-order 2D systems. Multidimensional Systems and Signal Processing, 22, .
Peeters, Ralf and Rapisarda, Paolo (2001) A two-variable approach to solve the polynomial Lyapunov equation. Systems and Control Letters, 42, .
polynomial matrix algebra
Rapisarda, Paolo and Trentelman, Harry L. (2002) The behavioral approach to systems and modeling. Mathematical and Computer Modeling of Dynamical Systems, 8, (4), .
positivity
Rao, Shodhan and Rapisarda, Paolo (2008) Higher-order linear lossless systems. International Journal of Control, 81, (10), .
Quadratic diff
Kaneko, Osamu and Rapisarda, Paolo (2003) Recursive exact H-infinity identification from impulse-response measurements. Systems and Control Letters, 49, .
Peeters, Ralf and Rapisarda, Paolo (2001) A two-variable approach to solve the polynomial Lyapunov equation. Systems and Control Letters, 42, .
quadratic difference form
Napp-Avelli, Diego, Rapisarda, Paolo and Rocha, Paula (2011) Lyapunov stability of 2D finite-dimensional behaviors. International Journal of Control, 84, (4), .
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov stability analysis of higher-order 2D systems. Multidimensional Systems and Signal Processing, 22, .
Quadratic difference forms
Rapisarda, Paolo and Trentelman, Harry (2011) Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data. Automatica, 47, .
Rapisarda, Paolo, Napp-Avelli, Diego and Rocha, Paula (2011) Time-relevant stability of 2D systems. Automatica
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov Stability Analysis of Higher Order 2D Systems. In, Springer LNCIS. , Springer Verlag Berlin.
Kojima, Chiaki, Takaba, Kiyotsugu, Kaneko, Osamu and Rapisarda, Paolo (2006) Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms. Linear Algebra and Its Applications, 416, (2-3), .
Kaneko, Osamu, Takaba, Kiyotsugu and Rapisarda, Paolo (2005) Totally dissipative systems. Systems and Control Letters, 54, (7), .
quadratic differential forms
Rao, Shodhan and Rapisarda, Paolo (2008) Higher-order linear lossless systems. International Journal of Control, 81, (10), .
Rao, Shodhan and Rapisarda, Paolo (2006) Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems. In, 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 24 - 28 Jul 2006.
Rank-revealing factorization
Rapisarda, Paolo and Trentelman, Harry (2011) Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data. Automatica, 47, .
realization theory
Fuhrmann, Paul A., Rapisarda, Paolo and Yamamoto, Yutaka (2007) On the state of behaviors. Linear Algebra and Its Applications, 424, (2-3), .
Riccati difference equation
Rapisarda, Paolo and Markovsky, Ivan (2008) Why “state” feedback? In, 17th IFAC World Congress, Seoul, South Korea, 06 - 11 Jul 2008.
Spectral factorization
Kojima, Chiaki, Takaba, Kiyotsugu, Kaneko, Osamu and Rapisarda, Paolo (2006) Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms. Linear Algebra and Its Applications, 416, (2-3), .
stability
Rapisarda, Paolo, Napp-Avelli, Diego and Rocha, Paula (2011) Time-relevant stability of 2D systems. Automatica
Stability criteria
Rapisarda, Paolo and Takaba, Kiyotsugu (2009) Counterexample to "Generalized eigenvalue-based stability tests for 2D linear systems: Necessary and sufficient conditions''. Automatica
Stabilization
Rapisarda, Paolo and Kojima, Chiaki (2010) Stabilization, Lyapunov functions, and dissipation. Systems and Control Letters, 59, (12), .
state
van der Schaft, Arjan and Rapisarda, Paolo (2011) State Maps from Integration by Parts. SIAM Journal on Control and Optimization, 49, (6), .
state feedback
Rapisarda, Paolo and Markovsky, Ivan (2008) Why “state” feedback? In, 17th IFAC World Congress, Seoul, South Korea, 06 - 11 Jul 2008.
state map
Rapisarda, Paolo and Willems, Jan C. (1997) State maps for linear systems. SIAM Journal on Control and Optimization, 35, (3), .
State maps
van der Schaft, Arjan J. and Rapisarda, Paolo (2011) From External to Internal System Decompositions. In, 18th IFAC World Congress, Milano, Italy, 28 Aug - 02 Sep 2011.
Rapisarda, Paolo and Markovsky, Ivan (2008) Why “state” feedback? In, 17th IFAC World Congress, Seoul, South Korea, 06 - 11 Jul 2008.
Fuhrmann, Paul A., Rapisarda, Paolo and Yamamoto, Yutaka (2007) On the state of behaviors. Linear Algebra and Its Applications, 424, (2-3), .
state space isomorphisms.
Fuhrmann, Paul A., Rapisarda, Paolo and Yamamoto, Yutaka (2007) On the state of behaviors. Linear Algebra and Its Applications, 424, (2-3), .
state systems
Fuhrmann, Paul A., Rapisarda, Paolo and Yamamoto, Yutaka (2007) On the state of behaviors. Linear Algebra and Its Applications, 424, (2-3), .
Storage function
Kojima, Chiaki, Takaba, Kiyotsugu, Kaneko, Osamu and Rapisarda, Paolo (2006) Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms. Linear Algebra and Its Applications, 416, (2-3), .
strictly dissipative systems
Ha, Minh Binh, Rapisarda, Paolo and Trentelman, Harry L. (2009) Dissipativity preserving model reduction by retention of tra jectories of minimal dissipation. Mathematics of Control, Signals, and Systems (MCSS)
Ha, Minh B., Rapisarda, Paolo and Trentelman, Harry L. (2008) Model reduction of dissipative systems by balanced truncation. In, 17th IFAC World Congress, Seoul, South Korea, 06 - 11 Jul 2008.
symmetries
van der Schaft, Arjan J. and Rapisarda, Paolo (2011) From External to Internal System Decompositions. In, 18th IFAC World Congress, Milano, Italy, 28 Aug - 02 Sep 2011.
trivially zero-mean quantities
Rao, Shodhan and Rapisarda, Paolo (2006) Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems. In, 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 24 - 28 Jul 2006.
two-variable polynomial matrices
Rao, Shodhan and Rapisarda, Paolo (2006) Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems. In, 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 24 - 28 Jul 2006.
Kaneko, Osamu, Takaba, Kiyotsugu and Rapisarda, Paolo (2005) Totally dissipative systems. Systems and Control Letters, 54, (7), .
Rapisarda, Paolo and Trentelman, Harry L. (2004) Linear Hamiltonian behaviors and bilinear differential forms. SIAM Journal on Control and Optimization, 43, (3), .
Peeters, Ralf and Rapisarda, Paolo (2001) A two-variable approach to solve the polynomial Lyapunov equation. Systems and Control Letters, 42, .
This list was generated on Tue May 22 23:39:12 2012 BST.
