Engineering systems entail uncertainties of many sorts: loads, material properties, environmental conditions, etc. Info-gap theory has been applied in many analyses of design, safety and reliability.

• Yakov Ben-Haim, 2006, Info-gap Decision Theory: Decisions Under Severe Uncertainty, 2nd edition, Academic Press, London.
  Chapter 3: Robustness and Opportuneness.
  ... Section 3.2.1: Engineering design: Cantilever.
  ... Section 3.2.2: Structural reliability.
  ... Section 3.2.3: Structural reliability with uncertain probability.
  Chapter 5: Antagonistic and Sympathetic Immunities.
  ... Section 5.3: Vibrating Mechanical Contact.
  Chapter 7: Value of Information.
  ... Section 7.3 Uncertain loads on a cantilever.
  ... Section 7.4 Cantilever: Simple and complex info-gap models.
  Chapter 8: Learning.
  ... Section 8.2: Info-gap supervision of a classifier.
  ... Section 8.3: Acoustic noise.
  
  
• Yakov Ben-Haim, 2005, Info-gap Decision Theory For Engineering Design. Or: Why `Good' is Preferable to `Best', appearing as chapter 11 in Engineering Design Reliability Handbook, Edited by Efstratios Nikolaidis, Dan M.Ghiocel and Surendra Singhal, CRC Press, Boca Raton. Preprint.
  
  
• Yakov Ben-Haim, 1996, Robust Reliability in the Mechanical Sciences, Springer-Verlag, Berlin.
  
  
• S.Gareth Pierce, Yakov Ben-Haim, Keith Worden, Graeme Manson, 2006, Evaluation of neural network robust reliability using information-gap theory, IEEE Transactions on Neural Networks, vol.17, No.6, pp.1349-1361.
  
  
• Y. Kanno and I. Takewaki, Robustness analysis of trusses with separable load and structural uncertainties, International Journal of Solids and Structures, Volume 43, Issue 9, May 2006, Pages 2646-2669.
  
  
• Miriam Zacksenhouse, Simona Nemets, Miikhail A Lebedev and Miguel A Nicolelis, 2009, Robust Satisficing Linear Regression: performance/robustness trade-off and consistency criterion, Mechanical Systems and Signal Processing, vol.23, pp.1954-1964. Abstract.
  
  
• Sisso, Itay, Tal Shima, and Yakov Ben-Haim, Info-gap approach to multi agent search under severe uncertainty, IEEE Transactions on Robotics, to appear. Pre-print.
  

• Questions or comments on info-gap theory? Contact me at yakov@technion.ac.il

More references

• Tania Mirer and Yakov Ben-Haim, Reliability Assessment of Explosive Material Based on Penalty Tests: An Info-Gap Approach, Proceedings of the Institution of Mechanical Engineers, Part O, Journal of Risk and Reliability, to appear. Abstract.   Pre-print.
  
  
• Chinnappen-Rimer, S. and Hancke, G.P., 2009, Actor coordination in wireless sensor-actor networks, IEEE India Council Conference, INDICON 2009; Ahmedabad; 18-20 December 2009. Abstract.
  
  
• Duncan, S.J., Paredis, C.J.J. and Bras, B., 2007, Applying info-gap theory to remanufacturing process selection affected by severe uncertainty, Proceedings of IMECE2007, 2007 ASME International Mechanical Engineering Congress and Exposition, November 11-15, 2007, Seattle. Abstract.
  
  
• Neil D. Sims, Graeme Manson and Brian Mann, 2009, Fuzzy stability analysis of regenerative chatter in milling, Journal of Sound and Vibration, to appear. Abstract.
  
  
• Manning, L.J., J.W. Hall, H.J. Fowler, C.G. Kilsby and C. Tebaldi, 2010, Using probabilistic climate change information from a multimodel ensemble for water resources assessment, Water Resources Research, VOL. 45, doi:10.1029/2007WR006674.
  
  
• Hine, Daniel and Jim W. Hall, 2010, Information gap analysis of flood model uncertainties and regional frequency analysis, Water Resources Research, vol. 46. Abstract.
  
  
• Hall, J.W. and Harvey, H., 2009, Decision making under severe uncertainty for flood risk management: A case study of info-gap robustness analysis. Proc. Int. Conf. Science and Information Technologies for Sustainable Management of Aquatic Ecosystems, Concepcion, Chile, 12-16 January 2009. Abstract.
  
  
• S.G. Pierce, K. Worden and G. Manson, 2006, A novel information-gap technique to assess reliability of neural network-based damage detection Journal of Sound and Vibration, 293: Issues 1-2, pp.96-111.
  
  
• Miriam Zacksenhouse, Simona Nemets, Anna Yoffe, Yakov Ben-Haim, Mikhail Lebedev, Miguel Nicolelis, An info-gap approach to linear regression, 2006 IEEE International conference on Acoustics, Speech and Signal Processing, ICASSP 2006 May 14-19, 2006, Toulouse, France, Vol.3: 800-803.
  
  
• Gaetan Kerschen, Keith Worden, Alexander F. Vakakis and Jean-Claude Golinval, 2006, Past, present and future of nonlinear system identification in structural dynamics Mechanical Systems and Signal Processing, Volume 20, Issue 3, Pages 505-592.
  
  
• Chetwynd, D., Worden, K., Manson, G., 2006, An application of interval-valued neural networks to a regression problem, Proceedings of the Royal Society - Mathematical, Physical and Engineering Sciences, (Series A), 462 (2074) pp.3097-3114.
  
  
• Matsuda, Y. and Y. Kanno, 2008, Robustness analysis of structures based on plastic limit analysis with uncertain loads, Journal of Mechanics of Materials and Structures, vol.3, pp.213-242.
  
  
• Y. Kanno and I. Takewaki, 2006, Sequential semidefinite program for maximum robustness design of structures under load uncertainty, Journal of Optimization Theory and Applications, vol.130, #2, pp.265-287.
  
  
• University of Newcastle upon Tyne and Halcrow. Early Conceptual Options, A framework for Uncertainty Analysis in TE2100, Environment Agency ECO Report R10X, June 2006, 42pp.
  
  
• Jim Hall and Dimitri Solomatine, 2008, A framework for uncertainty analysis in flood risk management decisions, International Journal of River Basin Management, Vol.6, No. 2, pp.85–98.
  
  
• D.J. Hine and J.W. Hall, Convex Analysis of Flood Inundation Model Uncertainties and Info-Gap Flood Management Decisions, ISSH - Stochastic Hydraulics 2005, 23 and 24 May 2005, Nijmegen, The Netherlands.
  
  
• Meir Tahan and Joseph Z. Ben-Asher, 2005, Modeling and analysis of integration processes for engineering systems, Systems Engineering, Vol. 8, No. 1, pp.62-77.
  
  
• Izuru Takewaki and Yakov Ben-Haim, 2005, Info-gap robust design with load and model uncertainties, Journal of Sound and Vibration, 288: 551-570.
  
  
• Izuru Takewaki and Yakov Ben-Haim, 2007, Info-gap robust design of passively controlled structures with load and model uncertainties, appearing in Structural Design Optimization Considering Uncertainties, Yiannis Tsompanakis, Nikkos D. Lagaros and Manolis Papadrakakis, editors. Taylor and Francis Publishers.
  
  
• Duncan, S.J., Aughenbaugh, J.M., Paredis, C.J.J., Bras, B. Considering the info-gap approach to robust decisions under severe uncertainty in the context of environmentally benign design, Proceedings of the ASME Design Engineering Technical Conference, 2006.
  
  
• Duncan, S.J., Bras, B. and Paredis, C.J.J., 2008, An approach to robust decision making under severe uncertainty in life cycle design, Int. J. Sustainable Design, Vol. 1, No. 1, pp.45-59. Abstract.
  
  
• Duncan, S.J., Paredis, C.J.J., Bras, B., 2008, Applying info-gap theory to remanufacturing process selection affected by severe uncertainty, ASME International Mechanical Engineering Congress and Exposition, Proceedings Vol. 15, pp.293-300. Abstract.
  
  
• D. Lim, Y. S. Ong, Y. Jin, B. Sendhoff, and B. S. Lee, 2006, Inverse Multi-objective Robust Evolutionary Design, Genetic Programming and Evolvable Machines Journal, Vol. 7, No. 4, pp. 383-404.
  
  
• P. Vinot, S. Cogan and V. Cipolla, 2005, A robust model-based test planning procedure Journal of Sound and Vibration, Volume 288, Issue 3, pp.571-585.
  
  
• Kaihong Wang, 2005, Vibration Analysis of Cracked Composite Bending-torsion Beams for Damage Diagnosis, PhD thesis, Virginia Tech.
  
  
• Francois M. Hemez and Yakov Ben-Haim, 2004, Info-gap robustness for the correlation of tests and simulations of a nonlinear transient, Mechanical Systems and Signal Processing, vol. 18, #6, pp.1443-1467.
  
  
• Yakov Ben-Haim, 2004, Uncertainty, probability and information-gaps, Reliability Engineering and System Safety, 85: 249-266.
  
  
• M.-P. Cheong, D. Berleant, and G. B. Shebl\'e,Information Gap Decision Theory as a tool for Strategic Bidding in Competitive Electricity Markets, 8th International Conference on Probabilistic Methods Applied to Power Systems, Iowa State University, Ames, lowa, September 12-16,2004.
  
  
• Francois M.Hemez,, 2004, Performance-Optimal And Uncertainty-Robust Analyses Of The Little Boy Weapon (U), 4th International Conference on Mathematical Methods in Reliability, Methodology and Practice, Santa Fe, New Mexico, June 21-25, 2004.
  
  
• Z.P. Qiu, P.C. Mueller and A. Frommer, 2004, The new nonprobabilistic criterion of failure for dynamical systems based on convex models, Mathematical and Computer Modelling, Vol. 40, Issues 1-2, pp.201-215.
  
  
• Pascal Vinot, Scott Cogan and Gerard Lallement, 2003, Approche non-probabiliste de fiabilite basee sur les modeles convexes: A non-probabilistic reliability approach based on convex models, Mecanique & Industries, Volume 4, Issue 1, January-February 2003, Pages 45-50.
  
  
• Attoh-Okine, N.O., 2002, Uncertainty analysis in structural number determination in flexible pavement design -- A convex model approach, Construction and Building Materials, Volume 16, Issue 2, March 2002, Pages 67-71.
  
  
• Yakov Ben-Haim, 2001, Info-gap value of information in model up-dating, Mechanical Systems and Signal Processing, 15: 457-474.
  
  
• Yakov Ben-Haim, 1997, Robust reliability of structures, Advances in Applied Mechanics, vol. 33, pp.1-41.
  
  
• S. Ganzerli and C.P. Pantelides, Optimum structural design via convex model superposition, Comput Struct, 74, \#6 (2000), pp. 639-647.
  
  
• C.P. Pantelides and B.C. Booth, Computer-aided design of optimal structures with uncertainty, Comput Struct, 74, \#3 (2000), pp. 293-307.
  
  
• S. Ganzerli and C.P. Pantelides, Load and resistance convex models for optimum design, Struct Optim, 174 (1999), pp. 259-268.
  
  
• C.P. Pantelides and S. Ganzerli, Design of trusses under uncertain loads using convex models, J Struc Eng ASCE, 124 (1998) (3), pp. 318-329.
  
  
• Keith W. Hipel and Yakov Ben-Haim, 1999, Decision making in an uncertain world: Information-gap modelling in water resources management, IEEE Trans., Systems, Man and Cybernetics, Part C: Applications and Reviews, 29: 506-517.
  
  
• H.E. Lindberg, 1991, Dynamic response and buckling failure measures for structures with bounded and random imperfections, Trans ASME J Appl Mech, vol. 58, pp.1092–1094.
  
  
• H.E. Lindberg, 1992, An evaluation of convex modelling for multimode dynamic buckling, Trans ASME J Appl Mech, vol. 59, pp.929-936.
  
  
• H.E. Lindberg, 1992, Convex models for uncertain imperfection control in multimode dynamic buckling, Trans ASME J Appl Mech, vol. 59, pp.937-945.
  
  
• Yakov Ben-Haim and Isaac Elishakoff, 1990, Convex Models of Uncertainty in Applied Mechanics, Elsevier, Amsterdam.
  
  
• Yakov Ben-Haim, 1985, The Assay of Spatially Random Material, Kluwer Academic Publishers, Dordrecht, Holland.
  
  
• Zhiping Qiu, Lihong Ma and Xiaojun Wang, 2006, Ellipsoidal-bound convex model for the non-linear buckling of a column with uncertain initial imperfection, International Journal of Non-Linear Mechanics, to appear.
  
  
• Yakov Ben-Haim, Genda Chen and T.T. Soong, 1996, Maximum Structural Response Using Convex Models, ASCE J. Engineering Mechanics, 122: 325-333.
  
  
• Yakov Ben-Haim, 1995, Convex models of uncertainty for small initial imperfections of non-linear structures, Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), 75: 901-908.
  
  
• Yakov Ben-Haim, 1993, Convex models for uncertainty in radial pulse buckling of shells, ASME Journal of Applied Mechanics, 60: 683-688.
  
  
• Xiao-Ming Zhang and Han Ding, 2008, Design optimization for dynamic response of vibration mechanical system with uncertain parameters using convex model, Journal of Sound and Vibration, to appear.
  
  
• Chen, S.H., K.J. Guo and Y.D. Chen, 2004, A method for estimating upper and lower bounds of eigenvalues of closed-loop systems with uncertain parameters, Journal of Sound and Vibration, Vol.276, Issues 3-5, 22 September 2004, pp.527-539.