Armaou, A. and Christofides P. D. (2002). Dynamic optimization of dissipative PDE systems using nonlinear order reduction, *Chemical Engineering Science* **57**: 5083-5114. [CrossRef]

Aschemanna, H., Kostinb, G. V., Rauha, A. and Saurinb, V. V. (2010). Approaches to control design and optimization in heat transfer problems, *International Journal of Computer and Systems Sciences* **49**(3): 380-391. [Web of Science]

Audet, C. and Dennis, J. E. (2004). A pattern search filter method for nonlinear programming without derivatives, *SIAM Journal on Optimization* **14**(4): 980-1010. [CrossRef]

Bellavia, S., Macconi, M. and Morini, B. (2004). STRSCNE: A scaled trust-region solver for constrained nonlinear equations, *Computational Optimization and Applications* **28**(1): 31-50. [Web of Science] [CrossRef]

Betts, J. T. (2010). *Practical Methods for Optimal Control and Estimation Using Nonlinear Programming, 2nd Edn.*, Society for Industrial and Applied Mathematics, Philadelphia, PA.

Biegler, L. T. (2010). *Nonlinear Programming. Concepts, Algorithms, and Applications to Chemical Processes*, SIAM, Philadelphia, PA.

Burger, J. and Pogu, M. (1991). Functional and numerical solution of a control problem originating from heat transfer, *Journal of Optimization Theory and Applications* **68**(1): 49-73.

Broyden, C. G. (1970). The convergence of a class of double-rank minimization algorithms, *Journal of the Institute of Mathematics and Its Applications* **6**: 76-90.

Butkovskiy, A. G. (1969). *Distributed Control Systems*, 1st Edn., Elsevier, New York, NY.

Byrd, R. H., Curtis, F. E. and Nocedal, J. (2010). Infeasibility detection and SQPmethods for nonlinear optimization, *SIAM Journal on Optimization* **20**(5): 2281-2299. [Web of Science] [CrossRef]

Chin, C. M. and Fletcher, R. (2003). On the global convergence of an SLP-filter algorithm that takes EQP steps, *Mathematical Programming* **96**(1): 161-177. [CrossRef]

Chin, C. M., Rashid, A. H. A. and Nor, K. M. (2007). Global and local convergence of a filter line search method for non-linear programming, *Optimization Methods and Software* **22**(3): 365-390. [CrossRef] [Web of Science]

Christofides, P. D. (2001). *Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes*, Birkhauser, Boston, MA.

Conn, A. R., Gould, N. I. and Toint, P. L. (2000). *Trust-Region Methods*, MPS-SIAM Series on Optimization, SIAM, Philadelphia, PA.

Demetriou, M. A. and Kazantzis, N. (2004). A new actuator activation policy for performance enhancement of controlled diffusion processes, *Automatica* **40**(3): 415-421. [CrossRef]

El-Farra, N. E., Armaou, A. and Christofides, P. D. (2003). Analysis and control of parabolic PDE systems with input constraints, *Automatica* **39**(3): 715-725.

Fattorini, H. O. (1999). *Infinite Dimensional Optimization and Control Theory*, Cambridge University Press, Cambridge.

Fletcher R. and Leyffer, S. (2002). Nonlinear programming without a penalty function, *Mathematical Programming, Series A* **91**(2): 239-269.

Fletcher, R., Leyffer, and Toint, P. L. (2002a). On the global convergence of a filter-SQP algorithm, *SIAM Journal on Optimization* **13**(1): 44-59. [CrossRef]

Fletcher R., Gould, N. I. M., Leyffer, S., Toint, Ph.L. and Wachter, A. (2002b). Global convergence of trust-region SQP-filter algorithms for general nonlinear programming, *SIAM Journal on Optimization* **13**(3): 635-659. [Web of Science] [CrossRef]

Fletcher, R. (2010). The sequential quadratic programming method, *in* G. Di Pillo and F. Schoen (Eds.), *Nonlinear Optimization*, Lecture Notes in Mathematics, Vol. 1989, Springer-Verlag, Berlin/Heidelberg.

Han, J. and Papalambros, P. Y. (2010). An SLP Filter algorithm for probabilistic analytical target cascading, *Structural and Multidisciplinary Optimization* **41**(5): 935-945. [CrossRef] [Web of Science]

Hinze, M., Pinnau, R., Ulbrich, M. and Ulbrich S. (2009). *Optimization with PDE Constraints*, Springer, Berlin/Heidelberg.

Lasiecka, I. and Triggiani, R. (2000). *Control Theory for Partial Differential Equations: Continuous and Approximation Theories, Vol. I: Abstract Parabolic Systems, Vol. II: Abstract Hyperbolic-Like Systems over a Finite Time Horizon*, Encyclopedia of Mathematics and Its Applications, Vol. 74, Cambridge University Press, Cambridge.

Lasiecka, I. and Chueshow, I. (2010). *Von Karman Evolution Equations: Well-posedness and Long Time Dynamics*, Springer, Berlin/Heidelberg.

Lasiecka, I. and Chueshow I. (2008). *Long-time Behavior of Second Order Evolution Equations with Nonlinear Damping*, Memoirs of the American Mathematical Society, Philadephia, PA.

Li, D. (2006). A new SQP-filter method for solving nonlinear programming problems, *Journal of Computational Mathematics* **24**(5): 609-634.

Nie, P. and Ma, C. (2006). A trust-region filter method for general non-linear programming, *Applied Mathematics and Computation* **172**(2): 1000-1017. [CrossRef]

Nettaanmaki P. and Tiba, D. (1994). *Optimal Control of Nonlinear Parabolic Systems*, Marcel Dekker, New York, NY.

Nocedal J. and Wright, S. J. (2006). *Numerical Optimization*, Springer, Berlin/Heidelberg.

Perona, P. and Malik, J. (1990). Scale-space and edge detection using anisotropic diffusion, *IEEE Transactions on Pattern Analysis and Machine Intelligence* **12**(7): 629-639.

Rafajłowicz, E. (2008). Testing homogeneity of coefficients in distributed systems with application to quality monitoring, *IEEE Transactions on Control Systems Technology* **16**: 314-321. [Web of Science]

Rafajłowicz, E. and Rafajłowicz, W. (2010). Testing (non-)linearity of distributed-parameter systems from a video sequence, *Asian Journal of Control* **12**(2): 453-461. [Web of Science]

Schittkowski, K. (2002). *Numerical Data Fitting in Dynamical Systems; A Practical Introduction with Applications and Software*, Applied Optimization, Vol. 77, Kluwer Academic Publishers, Dordrecht.

Schittkowski, K. (2009). An active set strategy for solving optimization problems with up to 200,000,000 nonlinear constraints, *Applied Numerical Mathematics* **59**(12): 2999-3007.

Shen, C., Xue, W. and Pu, D. (2009). Global convergence of a tridimensional filter SQP algorithm based on the line search method, *Applied Numerical Mathematics* **59**(2): 235-250.

Shen, C., Xue, W. and Chen, X. (2010). Global convergence of a robust filter SQP algorithm, *European Journal of Operational Research* **206**(1): 34-45. [Web of Science]

Skowron, M. and Styczeń, K., (2009). Evolutionary search for globally optimal stable multicycles in complex systems with inventory couplings, *International Journal of Chemical Engineering*, Article ID 137483, DOI:10.1155/2009/137483. [CrossRef]

Su, K. and Che, J. (2007). A modified SQP-filter method and its global convergence, *Applied Mathematics and Computation* **194**(1): 92-101. [Web of Science] [CrossRef]

Su, K. and Yu, Z. (2009). A modified SQP method with non-monotone technique and its global convergence, *Computers and Mathematics with Applications* **57**(2): 240-247.

Troltzsch, F. (2010). *Optimal Control of Partial Differential Equations. Theory, Methods and Applications*, American Mathematical Society Press, Providence, RI.

Turco, A. (2010). Adaptive filter SQP, *in* C. Blum and R. Battiti (Eds.), *Learning and Intelligent Optimization*, Lecture Notes in Computer Science, Vol. 6073, Springer-Verlag, Berlin/Heidelberg, pp. 68-81.

Uciński, D. (2005). *Optimal Measurement Methods for Distributed Parameter System Identification*, CRC Press, London/New York, NY.

Ulbrich, S. (2004). On the superlinear local convergence of a filter-SQP method, *Mathematical Programming, Series B* **100**(1): 217-245.

## Comments (0)