메뉴 건너뛰기




Volumn 56, Issue 12, 2011, Pages 2883-2897

Ultra-fast stabilizing model predictive control via canonical piecewise affine approximations

Author keywords

Hardware synthesis; Model predictive control (MPC); Piecewise affine (PWA) approximations

Indexed keywords

CONTROL LAWS; FAST IMPLEMENTATION; HARDWARE SYNTHESIS; MODEL PREDICTIVE CONTROL (MPC); ON CHIPS; PIECEWISE AFFINE (PWA) APPROXIMATIONS; PIECEWISE AFFINE APPROXIMATION; PIECEWISE AFFINE FUNCTIONS; STABILITY PROPERTIES; ULTRA-FAST;

EID: 83255166721     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2011.2141410     Document Type: Article
Times cited : (114)

References (53)
  • 1
    • 0003517864 scopus 로고    scopus 로고
    • Advanced Textbooks in Control and Signal Processing, 2nd ed. London, U.K.: Springer-Verlag
    • E. Camacho and C. Bordons, Model Predictive Control, ser. Advanced Textbooks in Control and Signal Processing, 2nd ed. London, U.K.: Springer-Verlag, 2004.
    • (2004) Model Predictive Control, ser
    • Camacho, E.1    Bordons, C.2
  • 2
    • 66749135176 scopus 로고    scopus 로고
    • A survey on explicit model predictive control
    • ser. Lecture Notes in Control and Information Sciences, D. R. L. Magni and F. Allgower, Eds. Berlin, Heidelberg, DEU: Springer-Verlag
    • A. Alessio and A. Bemporad, "A survey on explicit model predictive control," in Nonlinear Model Predictive Control: Towards New Challenging Applications, ser. Lecture Notes in Control and Information Sciences, D. R. L. Magni and F. Allgower, Eds. Berlin, Heidelberg, DEU: Springer-Verlag, 2009, vol. 384, pp. 345-369.
    • (2009) Nonlinear Model Predictive Control: Towards New Challenging Applications , vol.384 , pp. 345-369
    • Alessio, A.1    Bemporad, A.2
  • 4
    • 48349120615 scopus 로고    scopus 로고
    • Explicit hybrid model predictive control of the DC-DC boost converter
    • Jun
    • A. Beccuti, G. Papafotiou, R. Frasca, and M. Morari, "Explicit hybrid model predictive control of the DC-DC boost converter," in Proc. IEEE PESC, Orlando, FL Jun. 2007, pp. 2503-2509.
    • (2007) Proc. IEEE PESC, Orlando, FL , pp. 2503-2509
    • Beccuti, A.1    Papafotiou, G.2    Frasca, R.3    Morari, M.4
  • 5
    • 0037877916 scopus 로고    scopus 로고
    • Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming
    • Apr.
    • A. Bemporad and C. Filippi, "Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming," J. Optim. Theory Applicat., vol. 117, no. 1, pp. 9-38, Apr. 2003.
    • (2003) J. Optim. Theory Applicat. , vol.117 , Issue.1 , pp. 9-38
    • Bemporad, A.1    Filippi, C.2
  • 6
    • 39549113272 scopus 로고    scopus 로고
    • Multiparametric linear programming with applications to control
    • C. Jones, M. Baric, and M. Morari, "Multiparametric linear programming with applications to control," Eur. J. Control, vol. 13, pp. 152-170, 2007.
    • (2007) Eur. J. Control , vol.13 , pp. 152-170
    • Jones, C.1    Baric, M.2    Morari, M.3
  • 7
    • 0037955662 scopus 로고    scopus 로고
    • Approximate explicit constrained linear model predictive control via orthogonal search tree
    • May
    • T. A. Johansen and A. Grancharova, "Approximate explicit constrained linear model predictive control via orthogonal search tree," IEEE Trans. Autom. Control, vol. 58, no. 5, pp. 810-815, May 2003.
    • (2003) IEEE Trans. Autom. Control , vol.58 , Issue.5 , pp. 810-815
    • Johansen, T.A.1    Grancharova, A.2
  • 8
    • 0346093881 scopus 로고    scopus 로고
    • Approximate explicit receding horizon control of constrained nonlinear systems
    • T.A. Johansen, "Approximate explicit receding horizon control of constrained nonlinear systems," Automatica, vol. 40, pp. 293-300, 2004.
    • (2004) Automatica , vol.40 , pp. 293-300
    • Johansen, T.A.1
  • 9
    • 33747861692 scopus 로고    scopus 로고
    • Robust explicit MPC based on approximate multiparametric convex programming
    • DOI 10.1109/TAC.2006.878755
    • D. Muñoz de la Peña, A. Bemporad, and C. Filippi, "Robust explicit MPC based on approximate multi-parametric convex programming," IEEE Trans. Autom. Control, vol. 51, no. 8, pp. 1399-1403, Aug. 2006. (Pubitemid 44283248)
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.8 , pp. 1399-1403
    • Munoz De La Pena, D.1    Bemporad, A.2    Filippi, C.3
  • 10
    • 1542288364 scopus 로고    scopus 로고
    • Complexity reduction of receding horizon control
    • Maui, HI
    • P. Grieder and M. Morari, "Complexity reduction of receding horizon control," in Proc. 42th IEEE Conf. Decision Control, Maui, HI, 2003, pp. 3179-3184.
    • (2003) Proc. 42th IEEE Conf. Decision Control , pp. 3179-3184
    • Grieder, P.1    Morari, M.2
  • 11
    • 62749150974 scopus 로고    scopus 로고
    • Controller complexity reduction for piecewise affine systems through safe region elimination
    • DOI 10.1109/CDC.2007.4434694, 4434694, Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
    • F. Christophersen, M. Zeilinger, C. Jones, and M. Morari, "Controller complexity reduction for piecewise affine systems through safe region elimination," in Proc. IEEE Conf. Decision Control, New Orleans, LA, 2007, pp. 4773-4778. (Pubitemid 351277897)
    • (2007) Proceedings of the IEEE Conference on Decision and Control , pp. 4773-4778
    • Christophersen, F.J.1    Zeilinger, M.N.2    Jones, C.N.3    Morari, M.4
  • 13
    • 84872098877 scopus 로고    scopus 로고
    • High-speed FPGA implementation of observers and explicit model predictive controllers
    • Porto, Portugal Nov
    • S. Mariéthoz, U. Mäder, and M. Morari, "High-speed FPGA implementation of observers and explicit model predictive controllers," in Proc. IEEE IECON, Ind. Electron. Conf., Porto, Portugal, Nov. 2009.
    • (2009) Proc. IEEE IECON, Ind. Electron. Conf.
    • Mariéthoz, S.1    Mäder, U.2    Morari, M.3
  • 14
    • 0029394379 scopus 로고
    • A receding-horizon regulator for nonlinear systems and a neural approximation
    • T. Parisini and R. Zoppoli, "A receding-horizon regulator for nonlinear systems and a neural approximation," Automatica, vol. 31, no. 10, pp. 1443-1451, 1995.
    • (1995) Automatica , vol.31 , Issue.10 , pp. 1443-1451
    • Parisini, T.1    Zoppoli, R.2
  • 15
    • 57949094425 scopus 로고    scopus 로고
    • Set membership approximation theory for fast implementation of model predictive control
    • M. Canale, L. Fagiano, and M. Milanese, "Set membership approximation theory for fast implementation of model predictive control," Automatica, vol. 45, no. 1, pp. 45-54, 2009.
    • (2009) Automatica , vol.45 , Issue.1 , pp. 45-54
    • Canale, M.1    Fagiano, L.2    Milanese, M.3
  • 17
    • 0033725943 scopus 로고    scopus 로고
    • Orthonormal high level canonical PWL functions with applications to model reduction
    • May
    • P. Julián, A. Desages, and B. D'Amico, "Orthonormal high level canonical PWL functions with applications to model reduction," IEEE Trans. Circuits Syst. I, vol. 47, no. 5, pp. 702-712, May 2000.
    • (2000) IEEE Trans. Circuits Syst. i , vol.47 , Issue.5 , pp. 702-712
    • Julián, P.1    Desages, A.2    D'Amico, B.3
  • 18
    • 0038363444 scopus 로고    scopus 로고
    • A method for the approximate synthesis of cellular non-linear networks-Part 1: Circuit definition
    • May-Jun.
    • M. Storace, L. Repetto, and M. Parodi, "A method for the approximate synthesis of cellular non-linear networks-Part 1: Circuit definition," Int. J. Circuit Theory Applicat., vol. 31, no. 3, pp. 277-297, May-Jun. 2003.
    • (2003) Int. J. Circuit Theory Applicat. , vol.31 , Issue.3 , pp. 277-297
    • Storace, M.1    Repetto, L.2    Parodi, M.3
  • 19
    • 78651499977 scopus 로고    scopus 로고
    • Digital architectures realizing piecewiselinear multi-variate functions: Two FPGA implementations
    • M. Storace and T. Poggi, "Digital architectures realizing piecewiselinear multi-variate functions: Two FPGA implementations," Int. J. Circuit Theory Applicat., vol. 39, pp. 1-15, 2011.
    • (2011) Int. J. Circuit Theory Applicat. , vol.39 , pp. 1-15
    • Storace, M.1    Poggi, T.2
  • 20
    • 77955421911 scopus 로고    scopus 로고
    • Integrated circuit implementation of multi-dimensional piecewise-linear functions
    • 2010, 10.1016/j.dsp201002.007
    • M. Di Federico, T. Poggi, P. Julian, and M. Storace, "Integrated circuit implementation of multi-dimensional piecewise-linear functions," Digital Signal Process., vol. 20, pp. 1723-1732, 2010, 10.1016/j.dsp. 2010.02.007.
    • Digital Signal Process. , vol.20 , pp. 1723-1732
    • Di Federico, M.1    Poggi, T.2    Julian, P.3    Storace, M.4
  • 21
    • 0036027604 scopus 로고    scopus 로고
    • The explicit linear quadratic regulator for constrained systems
    • DOI 10.1016/S0005-1098(01)00174-1, PII S0005109801001741
    • A. Bemporad, M. Morari, V. Dua, and E. Pistikopoulos, "The explicit linear quadratic regulator for constrained systems," Automatica, vol. 38, no. 1, pp. 3-20, 2002. (Pubitemid 33034535)
    • (2002) Automatica , vol.38 , Issue.1 , pp. 3-20
    • Bemporad, A.1    Morari, M.2    Dua, V.3    Pistikopoulos, E.N.4
  • 24
    • 39649102379 scopus 로고    scopus 로고
    • Model Predictive Control design: New trends and tools
    • 4178103, Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
    • A. Bemporad, "Model-based predictive control design: New trends and tools," in Proc. 45th IEEE Conf. Decision Control, San Diego, CA, 2006, pp. 6678-6683. (Pubitemid 351284374)
    • (2006) Proceedings of the IEEE Conference on Decision and Control , pp. 6678-6683
    • Bemporad, A.1
  • 25
    • 71249087226 scopus 로고    scopus 로고
    • Circuit implementation of piecewise-affine functions based on a binary search tree
    • Antalya, Turkey Aug
    • A. Oliveri, A. Oliveri, T. Poggi, and M. Storace, "Circuit implementation of piecewise-affine functions based on a binary search tree," in Proc. ECCTD'09, Antalya, Turkey, Aug. 2009, pp. 145-148.
    • (2009) Proc. ECCTD'09 , pp. 145-148
    • Oliveri, A.1    Oliveri, A.2    Poggi, T.3    Storace, M.4
  • 26
    • 0037401589 scopus 로고    scopus 로고
    • Evaluation of piecewise affine control via binary search tree
    • May
    • P. Toøndel, T. A. Johansen, and A. Bemporad, "Evaluation of piecewise affine control via binary search tree," Automatica, vol. 39, no. 5, pp. 945-950, May 2003.
    • (2003) Automatica , vol.39 , Issue.5 , pp. 945-950
    • Toøndel, P.1    Johansen, T.A.2    Bemporad, A.3
  • 27
    • 0347093381 scopus 로고    scopus 로고
    • An algorithm for approximate multiparametric linear programming
    • C. Filippi, "An algorithm for approximate multiparametric linear programming," J. Optim. Theory Applicat., vol. 120, no. 1, pp. 73-95, 2004.
    • (2004) J. Optim. Theory Applicat. , vol.120 , Issue.1 , pp. 73-95
    • Filippi, C.1
  • 28
    • 0038701733 scopus 로고    scopus 로고
    • A method for the approximate synthesis of cellular non-linear networks-Part 2: Circuit reduction
    • May-Jun.
    • L. Repetto, M. Storace, andM. Parodi, "A method for the approximate synthesis of cellular non-linear networks-Part 2: Circuit reduction," Int. J. Circuit Theory Applicat., vol. 31, no. 3, pp. 299-313, May-Jun. 2003.
    • (2003) Int. J. Circuit Theory Applicat. , vol.31 , Issue.3 , pp. 299-313
    • Repetto, L.1    Storace, M.2    Parodi, M.3
  • 29
    • 0012950777 scopus 로고
    • Some combinatorial lemmas in topology
    • H. Kuhn, "Some combinatorial lemmas in topology," IBM J. Res. Develop., vol. 4, pp. 518-524, 1960.
    • (1960) IBM J. Res. Develop. , vol.4 , pp. 518-524
    • Kuhn, H.1
  • 30
    • 0001011343 scopus 로고
    • Simplicial approximation of fixed points
    • H. Kuhn, "Simplicial approximation of fixed points," Proc. Nat. Acad. Sci. U.S.A., vol. 61, pp. 1238-1242, 1968.
    • (1968) Proc. Nat. Acad. Sci. U.S.A. , vol.61 , pp. 1238-1242
    • Kuhn, H.1
  • 31
    • 0017501641 scopus 로고
    • Solving nonlinear resistive networks using piecewise-linear analysis and simplicial subdivision
    • M. Chien and E. Kuh, "Solving nonlinear resistive networks using piecewise-linear analysis and simplicial subdivision," IEEE Trans. Circuits Syst., vol. CAS-24, no. 6, pp. 305-317 Jun. 1977. (Pubitemid 8557350)
    • (1977) IEEE Trans Circuits Syst , vol.CAS-24 , Issue.6 , pp. 305-317
    • Chien Ming-Jeh1    Kuh Ernest, S.2
  • 32
    • 0000413446 scopus 로고
    • A geometric approach to maximum-speed n-dimensional continuous linear interpolation in rectangular grids
    • Aug
    • R. Rovatti, M. Borgatti, and R. Guerrieri, "A geometric approach to maximum-speed n-dimensional continuous linear interpolation in rectangular grids," IEEE Trans. Comput., vol. 47, no. 8, pp. 894-899, Aug. 1998.
    • (1988) IEEE Trans. Comput. , vol.47 , Issue.8 , pp. 894-899
    • Rovatti, R.1    Borgatti, M.2    Guerrieri, R.3
  • 33
    • 0033744168 scopus 로고    scopus 로고
    • High-speed DSP-based implementation of piecewise-affine and piecewise-quadratic fuzzy systems
    • R. Rovatti, C. Fantuzzi, and S. Simani, "High-speed DSP-based implementation of piecewise-affine and piecewise-quadratic fuzzy systems," Signal Process., vol. 80, pp. 951-963, 2000.
    • (2000) Signal Process. , vol.80 , pp. 951-963
    • Rovatti, R.1    Fantuzzi, C.2    Simani, S.3
  • 36
    • 75449110533 scopus 로고    scopus 로고
    • Model predictive control tuning by controller matching
    • Jan
    • S. Di Cairano and A. Bemporad, "Model predictive control tuning by controller matching," IEEE Trans. Autom. Control, vol. 55, no. 1, pp. 185-190, Jan. 2010.
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.1 , pp. 185-190
    • Di Cairano, S.1    Bemporad, A.2
  • 37
    • 77649341430 scopus 로고    scopus 로고
    • Digital circuit realization of piecewise affine functions with non-uniform resolution: Theory and FPGA implementation
    • Feb
    • T. Poggi, F. Comaschi, and M. Storace, "Digital circuit realization of piecewise affine functions with non-uniform resolution: Theory and FPGA implementation," IEEE Trans. Circuits Syst. II, vol. 52, no. 2, pp. 131-135 Feb. 2010.
    • (2010) IEEE Trans. Circuits Syst. II , vol.52 , Issue.2 , pp. 131-135
    • Poggi, T.1    Comaschi, F.2    Storace, M.3
  • 38
    • 0036576888 scopus 로고    scopus 로고
    • On hybrid systems and closed-loop MPC systems
    • DOI 10.1109/TAC.2002.1000287, PII S0018928602047499
    • A. Bemporad, W. Heemels, and B. D. Schutter, "On hybrid systems and closed-loop MPC systems," IEEE Trans. Autom. Control, vol. 47, no. 5, pp. 863-869, May 2002. (Pubitemid 34692275)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.5 , pp. 863-869
    • Bemporad, A.1    Heemels, W.P.M.H.2    De Schutter, B.3
  • 39
    • 0032045898 scopus 로고
    • Computation of piece-wise quadratic Lyapunov functions for hybrid systems
    • Apr
    • M. Johannson and A. Rantzer, "Computation of piece-wise quadratic Lyapunov functions for hybrid systems," IEEE Trans. Autom. Control, vol. 43, no. 4, pp. 555-559, Apr. 1998.
    • (1988) IEEE Trans. Autom. Control , vol.43 , Issue.4 , pp. 555-559
    • Johannson, M.1    Rantzer, A.2
  • 40
    • 0036888056 scopus 로고    scopus 로고
    • Analysis of discrete-time piecewise affine and hybrid systems
    • DOI 10.1016/S0005-1098(02)00142-5, PII S0005109802001425
    • G. Ferrari-Trecate, F. Cuzzola, D. Mignone, and M. Morari, "Analysis of discrete-time piecewise affine and hybrid systems," Automatica, vol. 38, pp. 2139-2146, 2002. (Pubitemid 35276215)
    • (2002) Automatica , vol.38 , Issue.12 , pp. 2139-2146
    • Ferrari-Trecate, G.1    Cuzzola, F.A.2    Mignone, D.3    Morari, M.4
  • 41
    • 23744493142 scopus 로고    scopus 로고
    • Stabilizing low complexity feedback control of constrained piecewise affine systems
    • DOI 10.1016/j.automatica.2005.04.016, PII S0005109805001482
    • P. Grieder, M. Kvasnica, M. Baotić, and M. Morari, "Stabilizing low complexity feedback control of constrained piecewise affine systems," Automatica, vol. 41, no. 10, pp. 1683-1694, 2005. (Pubitemid 41119027)
    • (2005) Automatica , vol.41 , Issue.10 , pp. 1683-1694
    • Grieder, P.1    Kvasnica, M.2    Baotic, M.3    Morari, M.4
  • 42
    • 77953039358 scopus 로고    scopus 로고
    • On infinity norms as Lyapunov functions for piecewise affine systems
    • Stockholm, Sweden
    • M. Lazar and A. Jokić, "On infinity norms as Lyapunov functions for piecewise affine systems," in Proc. Hybrid Syst.: Comput. Control, Stockholm, Sweden, 2010, pp. 131-139.
    • (2010) Proc. Hybrid Syst.: Comput. Control , pp. 131-139
    • Lazar, M.1    Jokić, A.2
  • 43
    • 0028370204 scopus 로고
    • Ultimate boundedness control for uncertain discrete- time systems via set-induced Lyapunov functions
    • Feb
    • F. Blanchini, "Ultimate boundedness control for uncertain discrete- time systems via set-induced Lyapunov functions," IEEE Trans. Autom. Control, vol. 39, no. 2, pp. 428-433 Feb. 1994.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.2 , pp. 428-433
    • Blanchini, F.1
  • 44
    • 1542320158 scopus 로고    scopus 로고
    • Synthesis of uniformly ultimate boundedness switching laws for discrete-time uncertain switched linear systems
    • Maui, HI
    • H. Lin and P. Antsaklis, "Synthesis of uniformly ultimate boundedness switching laws for discrete-time uncertain switched linear systems," in Proc. 42th IEEE Conf. Decision Control, Maui, HI, 2003, pp. 4806-4811.
    • (2003) Proc. 42th IEEE Conf. Decision Control , pp. 4806-4811
    • Lin, H.1    Antsaklis, P.2
  • 45
    • 36249021576 scopus 로고    scopus 로고
    • Squaring the circle: An algorithm for generating polyhedral invariant sets from ellipsoidal ones
    • DOI 10.1016/j.automatica.2007.04.028, PII S0005109807003032
    • A. Alessio, M. Lazar, A. Bemporad, and W. Heemels, "Squaring the circle: An algorithm for generating polyhedral invariant sets from ellipsoidal ones," Automatica, vol. 43, pp. 2096-2103, Dec. 2007. (Pubitemid 350137275)
    • (2007) Automatica , vol.43 , Issue.12 , pp. 2096-2103
    • Alessio, A.1    Lazar, M.2    Bemporad, A.3    Heemels, W.P.M.H.4
  • 46
    • 0026222290 scopus 로고
    • Linear systems with state and control constraints: The theory and application of maximal output admissible sets
    • DOI 10.1109/9.83532
    • E. Gilbert and K. T. Tan, "Linear systems with state and control constraints: The theory and applications of maximal output admissible sets," IEEE Trans. Autom. Control, vol. 36, no. 9, pp. 1008-1020, Sep. 1991. (Pubitemid 21689717)
    • (1991) IEEE Transactions on Automatic Control , vol.36 , Issue.9 , pp. 1008-1020
    • Gilbert Elmer, G.1    Tan Kok Tin2
  • 47
    • 0033221515 scopus 로고    scopus 로고
    • Set invariance in control
    • DOI 10.1016/S0005-1098(99)00113-2
    • F. Blanchini, "Set invariance in control," Automatica, vol. 35, no. 11, pp. 1747-1767, 1999. (Pubitemid 32078089)
    • (1999) Automatica , vol.35 , Issue.11 , pp. 1747-1767
    • Blanchini, F.1
  • 48
    • 0030260606 scopus 로고    scopus 로고
    • Robust constrained model predictive control using linear matrix inequalities
    • DOI 10.1016/0005-1098(96)00063-5, PII S0005109896000635
    • M. Kothare, V. Balakrishnan, and M. Morari, "Robust constrained model predictive control using linear matrix inequalities," Automatica, vol. 32, no. 10, pp. 1361-1379, 1996. (Pubitemid 126365465)
    • (1996) Automatica , vol.32 , Issue.10 , pp. 1361-1379
    • Kothare, M.V.1    Balakrishnan, V.2    Morari, M.3
  • 49
    • 0004055894 scopus 로고    scopus 로고
    • New York: Cambridge Univ. Press, [Online]. Available
    • S. Boyd and L. Vandenberghe, Convex Optimization. New York: Cambridge Univ. Press, 2004 [Online]. Available: http://www.stanford. edu/boyd/cvxbook. html
    • (2004) Convex Optimization
    • Boyd, S.1    Vandenberghe, L.2
  • 50
    • 5644279133 scopus 로고    scopus 로고
    • Delaunay partitions in applied to nonconvex programs and vertex/facet enumeration problems
    • L. Yepremyan and J. Falk, "Delaunay partitions in applied to nonconvex programs and vertex/facet enumeration problems," Comput. Oper. Res., vol. 32, no. 4, pp. 793-812, 2005.
    • (2005) Comput. Oper. Res. , vol.32 , Issue.4 , pp. 793-812
    • Yepremyan, L.1    Falk, J.2
  • 51
    • 20344396845 scopus 로고    scopus 로고
    • YALMIP: A toolbox for modeling and optimization in MATLAB
    • Taipei, Taiwan, [Online]. Available
    • J. Löfberg, "YALMIP: A toolbox for modeling and optimization in MATLAB," in Proc. CACSD Conf., Taipei, Taiwan, 2004 [Online]. Available: http://users.isy.liu.se/johanl/yalmip
    • (2004) Proc. CACSD Conf.
    • Löfberg, J.1
  • 52
    • 51349098876 scopus 로고    scopus 로고
    • CVX: Matlab software for disciplined convex programming
    • Stanford Univ. Jun. [Online]. Available
    • M. Grant and S. Boyd, "CVX: Matlab software for disciplined convex programming," Stanford Univ. Jun. 2009 [Online]. Available: http://stanford.edu/boyd/cvx, Tech. Rep.
    • (2009) Tech. Rep.
    • Grant, M.1    Boyd, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.