Directional sensitivity differentials for parametric bang-bang control problems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5910 LNCS, Issue , 2010, Pages 264-271

  Felgenhauer, Ursula ^a  

^a BRANDENBURG UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BANG-BANG; BANG-BANG CONTROL; CONTROL VECTOR; DIRECTIONAL SENSITIVITY; NUMBER OF SWITCHES; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; STATE EQUATIONS; STRUCTURAL STABILITIES; VECTOR VALUED;

BANG BANG CONTROL SYSTEMS; CONTROL; OPTIMIZATION; STABILITY; TIME SWITCHES;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 77953763270     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-12535-5_30     Document Type: Conference Paper

References (16)

1. Agrachev, A., Stefani, G., Zezza, P.L.: Strong optimality for a bang-bang trajectory. SIAM J. Control Optim. 41, 991-1014 (2002)
2. Arutyunov, A.V., Avakov, E.R., Izmailov, A.F.: Directional regularity and metric regularity. SIAM J. Optim. 18(3), 810-833 (2007)
3. Clarke, F.: Optimization and nonsmooth analysis. Wiley Inc., New York (1983)
4. Felgenhauer, U.: On stability of bang-bang type controls. SIAM J. Control Optim. 41(6), 1843-1867 (2003)
5. Felgenhauer, U.: Lipschitz stability of broken extremals in bang-bang control problems. In: Lirkov, I., Margenov, S., Wásniewski, J. (eds.) LSSC 2007. LNCS, vol.4818, pp. 306-314. Springer, Heidelberg (2008)
6. Felgenhauer, U.: The shooting approach in analyzing bang-bang extremals with simultaneous control switches. Control & Cybernetics 37(2), 307-327 (2008)
7. Felgenhauer, U., Poggiolini, L., Stefani, G.: Optimality and stability result for bang-bang optimal controls with simple and double switch behavior. Control & Cybernetics 38(4) (2009) (in print)
8. Kim, J.R., Maurer, H.: Sensitivity analysis of optimal control problems with bangbang controls. In: 42nd IEEE Conference on Decision and Control, Hawaii, vol.4, pp. 3281-3286 (2003)
9. Maurer, H., Osmolovskii, N.P.: Equivalence of second-order optimality conditions for bang-bang control problems. Part I: Main result. Control & Cybernetics 34(3), 927-950 (2005)
10. Part II: Proofs, variational derivatives and representations, Control & Cybernetics 36(1), 5-45 (2007)
11. Milyutin, A.A., Osmolovskii, N.P.: Calculus of variations and optimal control. Amer. Mathem. Soc., Providence (1998)
12. Poggiolini, L., Spadini, M.: Strong local optimality for a bang-bang trajectory in a Mayer problem (to appear)
13. Poggiolini, L., Stefani, G.: State-local optimality of a bang-bang trajectory: a Hamiltonian approach. Systems Control Lett. 53(3-4), 269-279 (2004)
14. Poggiolini, L., Stefani, G.: Sufficient optimality conditions for a bang-bang trajectory. In: 45th IEEE Conference on Decision and Control, San Diego (USA) (December 2006)
15. Rockafellar, R.T., Wets, R.J.-B.: Variational analysis. Springer, Berlin (1998)
16. Sarychev, A.V.: First- and second-order sufficient optimality conditions for bangbang controls. SIAM J. Control Optim. 35(1), 315-340 (1997)