Dynamical reconstruction of inputs for contraction semigroup systems: Boundary input case

Journal of Optimization Theory and Applications

Volumn 103, Issue 2, 1999, Pages 401-420

  Maksimov, V ^a   Pandolfi, L ^b  

^a INSTITUTE OF MATHEMATICS AND MECHANICS   (Russian Federation)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

Boundary control; Contraction semigroups; Dynamical reconstruction

Indexed keywords

BOUNDARY CONTROLS; CONTRACTION SEMIGROUP; DYNAMICAL RECONSTRUCTION; INPUT SYSTEMS; QUALITATIVE INFORMATION; SEMIGROUPS; SYSTEM BOUNDARY; UNKNOWN INPUTS;

EID: 0033268051     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021709004193     Document Type: Article

References (12)

1. OSIPOV, YU. S., and KRYAZHIMSKII, A. V., Inverse Problems of Ordinary Differential Equations: Dynamical Solutions, Gordon and Breach, London, England, 1995.
2. OSIPOV, YU. S., KRYAZHIMSKII, A. V., and MAKSIMOV, V. I., Dynamic Regularization Problems for Distributed Parameter Systems, Ural Branch, Academy of Sciences of the USSR, Sverdlovsk, USSR, 1991 (in Russian).
3. MAKSIMOV, V. I., Stable Solution of Inverse Problems for Nonlinear Distributed Systems, I, Differentsialnye Uravneniya, Vol. 26, No. 12, pp. 2059-2067, 1990 (in Russian).
4. MAKSIMOV, V. I., Control Reconstruction for Nonlinear Parabolic Equations, Working Paper WP-94-04, IIASA, Laxenburg, Austria, 1994.
5. LASIECKA, I., and TRIGGIANI, R., Differential and Algebraic Riccati Equations with Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory, Lecture Notes in Control and Information Sciences, Springer Verlag, Berlin, Germany, Vol. 164, 1991.
6. LASIECKA, I., Unified Theory for Abstract Parabolic Boundary Problems: A Semi-group Approach, Applied Mathematics and Optimization, Vol. 6, No. 4, pp. 287-334, 1980.
7. LASIECKA, I., and TRIGGIANI, R., Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati Feedback Synthesis, SIAM Journal on Control and Optimization, Vol. 21, pp. 41-67, 1983.
8. FLANDOLI, F., LASIECKA, I., and TRIGGIANI, R., Algebraic Riccati Equations with Nonsmoothing Observation Arising in Hyperbolic and Euler-Bernoulli Boundary Control Problems, Annali di Matematica Pura ed Applicata, Vol. 153, pp. 307-382, 1988.
9. MAKSIMOV, V. I., Approximation of an Inverse Problem for Variational Inequalities, Differential Integral Equations, Vol. 8, pp. 2189-2196, 1995.
10. KRYAZHIMSKII, A. V., and OSIPOV, YU. S., On Modelling the Control in a Dynamical System, Izvestiya Akademii Nauk SSSR, Tekhnicheskaya Kibernetika, No. 2, pp. 51-60, 1983 (in Russian).
11. KRASOVSKII, N. N., and SUBBOTIN, A. I., Game-Theoretical Control Problems, Springer Verlag, Berlin, Germany, 1988.
12. KRASOVSKII, N. N., Controlling a Dynamical System, Nauka, Moscow, USSR, 1985 (in Russian).