메뉴 건너뛰기




Volumn 17, Issue 1, 2011, Pages 73-88

Semistability and robustness analysis for switched systems

Author keywords

Homogeneity; Lyapunov functions; Robustness; Semistability; Switched systems

Indexed keywords

ROBUSTNESS (CONTROL SYSTEMS);

EID: 79951567193     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.3166/ejc.17.73-88     Document Type: Article
Times cited : (17)

References (44)
  • 2
    • 0142184076 scopus 로고    scopus 로고
    • Arc-length-based Lyapunov tests for convergence and stability in systems having a continuum of equilibria
    • In, Denver, CO
    • Bhat SP, Bernstein DS. Arc-length-based Lyapunov tests for convergence and stability in systems having a continuum of equilibria. In Proceedings of the American Control Conference, Denver, CO, 2003; 2961-2966.
    • (2003) Proceedings of the American Control Conference , pp. 2961-2966
    • Bhat, S.P.1    Bernstein, D.S.2
  • 3
    • 4944234701 scopus 로고    scopus 로고
    • Nontangency-based Lyapunov tests for convergence and stability in systems having a continuum of equilibria
    • Bhat SP, Bernstein DS. Nontangency-based Lyapunov tests for convergence and stability in systems having a continuum of equilibria. SIAM J Control Optim 2003; 42: 1745-1775.
    • (2003) SIAM J Control Optim , vol.42 , pp. 1745-1775
    • Bhat, S.P.1    Bernstein, D.S.2
  • 4
    • 21344471250 scopus 로고    scopus 로고
    • Geometric homogeneity with applications to finite-time stability
    • Bhat SP, Bernstein DS. Geometric homogeneity with applications to finite-time stability. Math Control Signals Syst 2005; 17: 101-127.
    • (2005) Math Control Signals Syst , vol.17 , pp. 101-127
    • Bhat, S.P.1    Bernstein, D.S.2
  • 5
    • 33746577251 scopus 로고    scopus 로고
    • Princeton University Press, Princeton, NJ
    • Bernstein DS. Matrix Mathematics. Princeton University Press, Princeton, NJ, 2005.
    • (2005) Matrix Mathematics
    • Bernstein, D.S.1
  • 7
    • 0032047505 scopus 로고    scopus 로고
    • Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
    • Branicky MS. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans Autom Control 1998; 43: 475-482.
    • (1998) IEEE Trans Autom Control , vol.43 , pp. 475-482
    • Branicky, M.S.1
  • 8
    • 33646910241 scopus 로고    scopus 로고
    • Perspectives and results on the stability and stabilizability of hybrid systems
    • DeCarlo RA, Branicky MS, Pettersson S, Lennartson B. Perspectives and results on the stability and stabilizability of hybrid systems. Proc IEEE 2000; 88: 1069-1082.
    • (2000) Proc IEEE , vol.88 , pp. 1069-1082
    • DeCarlo, R.A.1    Branicky, M.S.2    Pettersson, S.3    Lennartson, B.4
  • 9
    • 0032625112 scopus 로고    scopus 로고
    • A converse Lyapunov theorem for a class of dynamical systems which undergo switching
    • Dayawansa WP, Martin CF. A converse Lyapunov theorem for a class of dynamical systems which undergo switching. IEEE Trans Autom Control 1999; 44: 751-760.
    • (1999) IEEE Trans Autom Control , vol.44 , pp. 751-760
    • Dayawansa, W.P.1    Martin, C.F.2
  • 11
    • 34648820233 scopus 로고    scopus 로고
    • Energyand entropybased stabilization for lossless dynamical systems via hybrid controllers
    • Haddad WM, Chellaboina V, Hui Q, Nersesov SG. Energyand entropybased stabilization for lossless dynamical systems via hybrid controllers. IEEE Trans Autom Control 2007; 52: 1604-1614.
    • (2007) IEEE Trans Autom Control , vol.52 , pp. 1604-1614
    • Haddad, W.M.1    Chellaboina, V.2    Hui, Q.3    Nersesov, S.G.4
  • 13
    • 2442472068 scopus 로고    scopus 로고
    • Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle
    • Hespanha JP. Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle. IEEE Trans Autom Control 2004; 49: 470-482.
    • (2004) IEEE Trans Autom Control , vol.49 , pp. 470-482
    • Hespanha, J.P.1
  • 14
    • 50049099130 scopus 로고    scopus 로고
    • Distributed nonlinear control algorithms for network consensus
    • Hui Q, Haddad WM. Distributed nonlinear control algorithms for network consensus. Automatica 2008; 44: 2375-2381.
    • (2008) Automatica , vol.44 , pp. 2375-2381
    • Hui, Q.1    Haddad, W.M.2
  • 15
    • 54049150392 scopus 로고    scopus 로고
    • Finite-time semistability and consensus for nonlinear dynamical networks
    • Hui Q, Haddad WM, Bhat SP. Finite-time semistability and consensus for nonlinear dynamical networks. IEEE Trans Autom Control 2008; 53: 1887-1900.
    • (2008) IEEE Trans Autom Control , vol.53 , pp. 1887-1900
    • Hui, Q.1    Haddad, W.M.2    Bhat, S.P.3
  • 21
    • 85180905628 scopus 로고    scopus 로고
    • Tech. Rep. CSEL-11-09, Contr. Sci. Eng. Lab., Dept. Mech. Eng., Texas Tech Univ., Lubbock, TX
    • Hui Q. On the Stability and Robustness of Switched Systems. Tech. Rep. CSEL-11-09, Contr. Sci. Eng. Lab., Dept. Mech. Eng., Texas Tech Univ., Lubbock, TX, 2009.
    • (2009) On the Stability and Robustness of Switched Systems
    • Hui, Q.1
  • 22
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile autonomous agents using nearest neighbor rules
    • Jadbabaie A, Lin J, Morse AS. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans Autom Control 2003; 48: 988-1001.
    • (2003) IEEE Trans Autom Control , vol.48 , pp. 988-1001
    • Jadbabaie, A.1    Lin, J.2    Morse, A.S.3
  • 23
    • 0004178386 scopus 로고    scopus 로고
    • 3rd edn. Prentice-Hall, Upper Saddle River, NJ
    • Khalil HK. Nonlinear Systems, 3rd edn. Prentice-Hall, Upper Saddle River, NJ, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.K.1
  • 25
    • 0030243937 scopus 로고    scopus 로고
    • Hybrid feedback laws for a class of cascade nonlinear control systems
    • Kolmanovsky I, McClamroch NH. Hybrid feedback laws for a class of cascade nonlinear control systems. IEEE Trans Autom Control 1996; 41: 1271-1282.
    • (1996) IEEE Trans Autom Control , vol.41 , pp. 1271-1282
    • Kolmanovsky, I.1    McClamroch, N.H.2
  • 26
    • 0002585302 scopus 로고
    • On the inversion of Lyapunov's second theorem on stability of motion
    • translated from Czech Math J 1956; 81: 217-259; 455-484
    • Kurzweil J. On the inversion of Lyapunov's second theorem on stability of motion. Amer Math Soc Transl 1963; 24: 19-77, translated from Czech Math J 1956; 81: 217-259; 455-484.
    • (1963) Amer Math Soc Transl , vol.24 , pp. 19-77
    • Kurzweil, J.1
  • 27
  • 29
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • Liberzon D, Morse AS. Basic problems in stability and design of switched systems. IEEE Control Syst Mag 1999; 19: 59-70.
    • (1999) IEEE Control Syst Mag , vol.19 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 30
    • 0034315065 scopus 로고    scopus 로고
    • Acondition for the stability of switched nonlinear systems
    • Mancilla-Aguilar JL. Acondition for the stability of switched nonlinear systems. IEEE Trans Autom Control 2000; 45: 2077-2079.
    • (2000) IEEE Trans Autom Control , vol.45 , pp. 2077-2079
    • Mancilla-Aguilar, J.L.1
  • 31
    • 0003072066 scopus 로고    scopus 로고
    • A converse Lyapunov theorem for nonlinear switched systems
    • Mancilla-Aguilar JL, García RA. A converse Lyapunov theorem for nonlinear switched systems. Syst Control Lett 2000; 41: 67-71.
    • (2000) Syst Control Lett , vol.41 , pp. 67-71
    • Mancilla-Aguilar, J.L.1    García, R.A.2
  • 32
    • 0033097304 scopus 로고    scopus 로고
    • Towards a stability theory of general hybrid systems
    • Michel AN, Hu B. Towards a stability theory of general hybrid systems. Automatica 1999; 35: 371-384.
    • (1999) Automatica , vol.35 , pp. 371-384
    • Michel, A.N.1    Hu, B.2
  • 33
    • 12944293796 scopus 로고    scopus 로고
    • Stability of multiagent systems with timedependent communication links
    • Moreau L. Stability of multiagent systems with timedependent communication links. IEEE Trans Autom Control 2005; 50: 169-182.
    • (2005) IEEE Trans Autom Control , vol.50 , pp. 169-182
    • Moreau, L.1
  • 34
    • 0028728038 scopus 로고
    • Acommon Lyapunov function for stable LTI systems with commuting A-matrices
    • Narendra KS, Balakrishnan J. Acommon Lyapunov function for stable LTI systems with commuting A-matrices. IEEE Trans Autom Control 1994; 39: 2469-2471.
    • (1994) IEEE Trans Autom Control , vol.39 , pp. 2469-2471
    • Narendra, K.S.1    Balakrishnan, J.2
  • 36
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with switching topology and time-delays
    • Olfati-Saber R, Murray RM. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Control 2004; 49: 1520-1533.
    • (2004) IEEE Trans Autom Control , vol.49 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.M.2
  • 37
    • 58249126992 scopus 로고    scopus 로고
    • On the nonexistence of quadratic Lyapunov functions for consensus algorithms
    • Olshevsky A, Tsitsiklis JN. On the nonexistence of quadratic Lyapunov functions for consensus algorithms. IEEE Trans Autom Control 2008; 53: 2642-2645.
    • (2008) IEEE Trans Autom Control , vol.53 , pp. 2642-2645
    • Olshevsky, A.1    Tsitsiklis, J.N.2
  • 38
    • 0026403206 scopus 로고
    • Asymptotic stability of m-switched systems using Lyapunov-like functions
    • In, Boston, MA
    • Peleties P, DeCarlo RA. Asymptotic stability of m-switched systems using Lyapunov-like functions. In Proceedings of the American Control Conference, Boston, MA, 1991; 1679-1684.
    • (1991) Proceedings of the American Control Conference , pp. 1679-1684
    • Peleties, P.1    DeCarlo, R.A.2
  • 39
    • 0028446780 scopus 로고
    • A cyclic switching strategy for parameter-adaptive control
    • Pait FM, Morse AS. A cyclic switching strategy for parameter-adaptive control. IEEE Trans Autom Control 1994; 39: 1172-1183.
    • (1994) IEEE Trans Autom Control , vol.39 , pp. 1172-1183
    • Pait, F.M.1    Morse, A.S.2
  • 41
    • 15844419019 scopus 로고    scopus 로고
    • Common Lyapunov functions for families of commuting nonlinear systems
    • Vu L, Liberzon D. Common Lyapunov functions for families of commuting nonlinear systems. Syst Control Lett 2005; 54: 405-416.
    • (2005) Syst Control Lett , vol.54 , pp. 405-416
    • Vu, L.1    Liberzon, D.2
  • 42
    • 70449646755 scopus 로고    scopus 로고
    • Stability of feedback switched systems with state and switching delays
    • In, St. Louis, MO
    • Vu L, Morgansen KA. Stability of feedback switched systems with state and switching delays. In Proceedings of the American Control Conference, St. Louis, MO, 2009; 1754-1759.
    • (2009) Proceedings of the American Control Conference , pp. 1754-1759
    • Vu, L.1    Morgansen, K.A.2
  • 43
    • 84968514083 scopus 로고
    • Smoothing derivatives of functions and applications
    • Wilson FW. Smoothing derivatives of functions and applications. Trans Amer Math Soc 1969; 139: 413-428.
    • (1969) Trans Amer Math Soc , vol.139 , pp. 413-428
    • Wilson, F.W.1
  • 44
    • 0032050689 scopus 로고    scopus 로고
    • Stability theory of hybrid dynamical systems
    • Ye H, Michel AN, Hou L. Stability theory of hybrid dynamical systems. IEEE Trans Autom Control 1998; 43: 461-474.
    • (1998) IEEE Trans Autom Control , vol.43 , pp. 461-474
    • Ye, H.1    Michel, A.N.2    Hou, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.