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Volumn 47, Issue 12, 2002, Pages 2021-2032

Stability of hybrid dynamic systems containing singularly perturbed random processes

Author keywords

Hybrid system; Lyapunov method; Markov chain; Singular perturbation; Stability; Switching diffusion

Indexed keywords

DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; MARKOV PROCESSES; OPTIMIZATION; PROBLEM SOLVING; SWITCHING SYSTEMS;

EID: 0036944901     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.805682     Document Type: Article
Times cited : (28)

References (24)
  • 2
    • 0016509163 scopus 로고
    • Feedback control of a class of linear discrete systems with jump parameters and quadratic cost criteria
    • W. P. Blair and D. D. Sworder, "Feedback control of a class of linear discrete systems with jump parameters and quadratic cost criteria," Int. J. Control, vol. 21, pp. 833-841, 1986.
    • (1986) Int. J. Control , vol.21 , pp. 833-841
    • Blair, W.P.1    Sworder, D.D.2
  • 3
    • 0017972055 scopus 로고
    • Stability and control of stochastic systems with wide band noise
    • G. B. Blankenship and G. C. Papanicolaou, "Stability and control of stochastic systems with wide band noise," SIAM J. Appl. Math., vol. 34, pp. 437-476, 1978.
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 437-476
    • Blankenship, G.B.1    Papanicolaou, G.C.2
  • 4
    • 0026711643 scopus 로고
    • Stochastic stability properties of jump linear systems
    • Jan.
    • X. Feng, K.A. Loparo, Y. Ji, and H.J. Chizeck, "Stochastic stability properties of jump linear systems," IEEE Trans. Automat. Contr., vol. 37, pp. 38-53, Jan. 1992.
    • (1992) IEEE Trans. Automat. Contr. , vol.37 , pp. 38-53
    • Feng, X.1    Loparo, K.A.2    Ji, Y.3    Chizeck, H.J.4
  • 7
    • 0025464943 scopus 로고
    • Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control
    • July
    • Y. Ji and H. J. Chizeck, "Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control," IEEE Trans. Automat. Contr., vol. 35, pp. 777-788, July 1990.
    • (1990) IEEE Trans. Automat. Contr. , vol.35 , pp. 777-788
    • Ji, Y.1    Chizeck, H.J.2
  • 9
    • 0030084736 scopus 로고    scopus 로고
    • Asymptotic expansions of singularly perturbed systems involving rapidly fluctuating Markov chains
    • R. Z. Khasminskii, G. Yin, and Q. Zhang, "Asymptotic expansions of singularly perturbed systems involving rapidly fluctuating Markov chains," SIAM J. Appl. Math., vol. 56, pp. 277-293, 1996.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 277-293
    • Khasminskii, R.Z.1    Yin, G.2    Zhang, Q.3
  • 14
    • 0003182919 scopus 로고    scopus 로고
    • Stability of stochastic differential equations with Markovian switching
    • _, "Stability of stochastic differential equations with Markovian switching," Stoch. Process. Appl., vol. 79, pp. 45-67, 1999.
    • (1999) Stoch. Process. Appl. , vol.79 , pp. 45-67
  • 15
    • 0022148885 scopus 로고
    • Robust jump linear quadratic control: A mode stabilizing solution
    • Nov.
    • M. Mariton and P. Bertrand, "Robust jump linear quadratic control: A mode stabilizing solution," IEEE Trans: Automat. Contr., vol. AC-30, pp. 1145-1147, Nov. 1985.
    • (1985) IEEE Trans: Automat. Contr. , vol.AC-30 , pp. 1145-1147
    • Mariton, M.1    Bertrand, P.2
  • 18
    • 0001633546 scopus 로고
    • Aggregation of variables in dynamic systems
    • H. A. Simon and A. Ando, "Aggregation of variables in dynamic systems," Econometrica, vol. 29, pp. 111-138, 1961.
    • (1961) Econometrica , vol.29 , pp. 111-138
    • Simon, H.A.1    Ando, A.2
  • 20
    • 0037288675 scopus 로고    scopus 로고
    • Recursive algorithms for stock liquidation: A stochastic optimization approach
    • G. Yin, R. H. Liu, and Q. Zhang, "Recursive algorithms for stock liquidation: A stochastic optimization approach," SIAM J. Optim., vol. 13, pp. 241-258, 2002.
    • (2002) SIAM J. Optim. , vol.13 , pp. 241-258
    • Yin, G.1    Liu, R.H.2    Zhang, Q.3
  • 21
    • 0012538940 scopus 로고    scopus 로고
    • Hybrid singular systems of differential equations
    • G. Yin and J. F. Zhang, "Hybrid singular systems of differential equations," Scientia Sinica, vol. 45, pp. 241-258, 2002.
    • (2002) Scientia Sinica , vol.45 , pp. 241-258
    • Yin, G.1    Zhang, J.F.2
  • 23
    • 0034412398 scopus 로고    scopus 로고
    • Asymptotic properties of a singularly perturbed Markov chain with inclusion of transient states
    • G. Yin, Q. Zhang, and G. Badowski, "Asymptotic properties of a singularly perturbed Markov chain with inclusion of transient states," Ann. Appl. Probab., vol. 10, pp. 549-572, 2000.
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 549-572
    • Yin, G.1    Zhang, Q.2    Badowski, G.3
  • 24
    • 0033317170 scopus 로고    scopus 로고
    • On nearly optimal controls of hybrid LQG problems
    • Dec.
    • Q. Zhang and G. Yin, "On nearly optimal controls of hybrid LQG problems," IEEE Trans. Automat. Contr., vol. 44, pp. 2271-2282, Dec. 1999.
    • (1999) IEEE Trans. Automat. Contr. , vol.44 , pp. 2271-2282
    • Zhang, Q.1    Yin, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.