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Volumn 122, Issue 3, 2004, Pages 627-649

Further results on global convergence and stability of globally projected dynamical systems

Author keywords

global convergence; Projected dynamical systems; stability; variational inequalities

Indexed keywords

CONSTRAINED OPTIMIZATION; DYNAMICAL SYSTEMS; JACOBIAN MATRICES; MAPPING; SYSTEM STABILITY; VARIATIONAL TECHNIQUES;

EID: 4844225491     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOTA.0000042598.21226.af     Document Type: Article
Times cited : (72)

References (20)
  • 1
    • 0030290073 scopus 로고    scopus 로고
    • A Stability Theory for Constrained Dynamic Systems with Applications to Electric Power Systems
    • PRAPROST, K. L., and LOPARO, K. A., A Stability Theory for Constrained Dynamic Systems with Applications to Electric Power Systems, IEEE Transactions on Automatic Control, Vol. 41, pp. 1605-1617, 1996.
    • (1996) IEEE Transactions on Automatic Control , vol.41 , pp. 1605-1617
    • Praprost, K.L.1    Loparo, K.A.2
  • 2
    • 0033163920 scopus 로고    scopus 로고
    • On the Stability of Globally Projected Dynamical Systems
    • XIA, Y. S., and WANG, J., On the Stability of Globally Projected Dynamical Systems, Journal of Optimization Theory and Applications, Vol. 106, pp. 129-150, 2000.
    • (2000) Journal of Optimization Theory and Applications , vol.106 , pp. 129-150
    • Xia, Y.S.1    Wang, J.2
  • 4
    • 0018991866 scopus 로고
    • A Differential Equation Approach to Nonlinear Programming
    • YAMASHITA, H., A Differential Equation Approach to Nonlinear Programming, Mathematical Programming, Vol. 18, pp. 155-168, 1980.
    • (1980) Mathematical Programming , vol.18 , pp. 155-168
    • Yamashita, H.1
  • 6
    • 0000649975 scopus 로고
    • Stable Attracting Sets in Dynamical Systems and Their One-Step Discretizations
    • KLOEDEN, P. E., and LORENZ, J., Stable Attracting Sets in Dynamical Systems and Their One-Step Discretizations, SIAM Journal on Numerical Analysis, Vol. 23, pp. 987-995, 1986.
    • (1986) SIAM Journal on Numerical Analysis , vol.23 , pp. 987-995
    • Kloeden, P.E.1    Lorenz, J.2
  • 7
    • 34250084569 scopus 로고
    • Dynamical Systems and Variational Inequalities
    • DUPUIS, P., and NAGURNEY, A., Dynamical Systems and Variational Inequalities, Annals of Operations Research, Vol. 44. pp. 19-42, 1993.
    • (1993) Annals of Operations Research , vol.44 , pp. 19-42
    • Dupuis, P.1    Nagurney, A.2
  • 8
    • 0028549244 scopus 로고
    • Day-to-Day Dynamical Network Disequilibria and Idealized Traveler Information Systems
    • FRIESZ, T. L., BERNSTEIN, D. H., MEHTA, N. J., TOBIN, R. L., and GANJLIZADEH, S., Day-to-Day Dynamical Network Disequilibria and Idealized Traveler Information Systems, Operations Research, Vol. 42, pp. 1120-1136, 1994.
    • (1994) Operations Research , vol.42 , pp. 1120-1136
    • Friesz, T.L.1    Bernstein, D.H.2    Mehta, N.J.3    Tobin, R.L.4    Ganjlizadeh, S.5
  • 9
    • 0030085605 scopus 로고    scopus 로고
    • Dynamic Systems, Variational Inequalities, and Control Theoretic Models for Predicting Time-Varying Urban Network Flows
    • FRIESZ, T. L., BERNSTEIN, D. H., and STOUGH, R., Dynamic Systems, Variational Inequalities, and Control Theoretic Models for Predicting Time-Varying Urban Network Flows, Transportation Science, Vol. 30, pp. 14-31, 1996.
    • (1996) Transportation Science , vol.30 , pp. 14-31
    • Friesz, T.L.1    Bernstein, D.H.2    Stough, R.3
  • 10
    • 0036107451 scopus 로고    scopus 로고
    • Stability for Equilibrium Problems: From Variational Inequalities to Dynamical Systems
    • PAPPALARDO, M., and PASSACANTANDO, M., Stability for Equilibrium Problems: From Variational Inequalities to Dynamical Systems, Journal of Optimization Theory and Applications, Vol. 113, pp. 567-582, 2002.
    • (2002) Journal of Optimization Theory and Applications , vol.113 , pp. 567-582
    • Pappalardo, M.1    Passacantando, M.2
  • 12
    • 0001201399 scopus 로고
    • A New Neural Network for Solving Linear and Quadratic Programming Problems
    • XIA, Y. S., A New Neural Network for Solving Linear and Quadratic Programming Problems, IEEE Transactions on Neural Networks, Vol. 7, pp. 1544-1547, 1995.
    • (1995) IEEE Transactions on Neural Networks , vol.7 , pp. 1544-1547
    • Xia, Y.S.1
  • 13
    • 0034102116 scopus 로고    scopus 로고
    • A Recurrent Neural Network for Solving Linear Projection Equations
    • XIA, Y. S., and WANG, J., A Recurrent Neural Network for Solving Linear Projection Equations, Neural Networks, Vol. 13, pp. 337-350, 2000.
    • (2000) Neural Networks , vol.13 , pp. 337-350
    • Xia, Y.S.1    Wang, J.2
  • 14
    • 0035307304 scopus 로고    scopus 로고
    • Global Asymptotic and Exponential Stability of a Class of Dynamical Neural Systems with Asymmetric Connection Weights
    • XIA, Y. S., and WANG, J., Global Asymptotic and Exponential Stability of a Class of Dynamical Neural Systems with Asymmetric Connection Weights, IEEE Transactions on Automatic Control, Vol. 46, pp. 635-638, 2001.
    • (2001) IEEE Transactions on Automatic Control , vol.46 , pp. 635-638
    • Xia, Y.S.1    Wang, J.2
  • 15
    • 0036539447 scopus 로고    scopus 로고
    • A Projection Neural Network and Its Application to Constrained Optimization Problems
    • XIA, Y. S., LEUNG, H., and WANG, J., A Projection Neural Network and Its Application to Constrained Optimization Problems, IEEE Transaction on Circuits and Systems, Part I, Vol. 49, pp. 447-458, 2002.
    • (2002) IEEE Transaction on Circuits and Systems, Part I , vol.49 , pp. 447-458
    • Xia, Y.S.1    Leung, H.2    Wang, J.3
  • 16
    • 0026763569 scopus 로고
    • Equivalent Differentiable Optimization Problems and Descent Methods for Asymmetric Variational Inequality Problems
    • FUKUSHIMA, M., Equivalent Differentiable Optimization Problems and Descent Methods for Asymmetric Variational Inequality Problems, Mathematical Programming, Vol. 53, pp. 99-110, 1992.
    • (1992) Mathematical Programming , vol.53 , pp. 99-110
    • Fukushima, M.1
  • 20
    • 0031352141 scopus 로고    scopus 로고
    • Engineering and Economic Applications of Complementarity Problems
    • FERRIS, M. C., and BANG, J. S., Engineering and Economic Applications of Complementarity Problems, SIAM Review, Vol. 39, pp. 669-713, 1997.
    • (1997) SIAM Review , vol.39 , pp. 669-713
    • Ferris, M.C.1    Bang, J.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.