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Volumn 5469, Issue , 2009, Pages 276-290

Decompositional construction of lyapunov functions for hybrid systems

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE STATE SPACE; GRAPH-BASED; HYBRID AUTOMATONS; INCREMENTAL CONSTRUCTION; LOCAL COMPUTATION; NUMERICAL STABILITIES; OPTIMIZATION PROBLEMS; SEMIDEFINITE OPTIMIZATION; SUBGRAPHS;

EID: 67650146073     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-00602-9_20     Document Type: Conference Paper
Times cited : (13)

References (12)
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    • Semidefinite programming relaxations for semialgebraic problems
    • DOI 10.1007/s10107-003-0387-5
    • Parrilo, P.A.: Semidefinite programming relaxations for semialgebraic problems. Mathematical Programming, Series B 96, 293-320 (2003) (Pubitemid 44757842)
    • (2003) Mathematical Programming, Series B , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1
  • 5
    • 33947510894 scopus 로고    scopus 로고
    • Analysis of non-polynomial systems using the sums of squares decomposition
    • Papachristodoulou, A., Prajna, S.: Analysis of non-polynomial systems using the sums of squares decomposition. Positive Polynomials in Control, 23-43 (2005)
    • (2005) Positive Polynomials in Control , pp. 23-43
    • Papachristodoulou, A.1    Prajna, S.2
  • 6
    • 33847030396 scopus 로고    scopus 로고
    • Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions
    • Chatterjee, D., Liberzon, D.: Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions. SIAM Journal on Control and Optimization 45(1), 174-206 (2006)
    • (2006) SIAM Journal on Control and Optimization , vol.45 , Issue.1 , pp. 174-206
    • Chatterjee, D.1    Liberzon, D.2
  • 7
    • 15844419019 scopus 로고    scopus 로고
    • Common Lyapunov functions for families of commuting nonlinear systems
    • DOI 10.1016/j.sysconle.2004.09.006, PII S0167691104001598
    • Vu, L., Liberzon, D.: Common Lyapunov functions for families of commuting nonlinear systems. Systems and Control Letters 54(5), 405-416 (2005) (Pubitemid 40423832)
    • (2005) Systems and Control Letters , vol.54 , Issue.5 , pp. 405-416
    • Vu, L.1    Liberzon, D.2
  • 8
    • 42649113750 scopus 로고    scopus 로고
    • Smooth Lyapunov functions for hybrid systems part II: (Pre)asymptotically stable compact sets
    • DOI 10.1109/TAC.2008.919257
    • Cai, C., Teel, A.R., Goebel, R.: Smooth Lyapunov functions for hybrid systems part II: (pre)asymptotically stable compact sets. IEEE Transactions on Automatic Control 53(3), 734-748 (2008) (Pubitemid 351597180)
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.3 , pp. 734-748
    • Cai, C.1    Teel, A.R.2    Goebel, R.3
  • 11
    • 0001790593 scopus 로고
    • Depth-first search and linear graph algorithms
    • Tarjan, R.: Depth-first search and linear graph algorithms. SIAM Journal on Computing 1(2), 146-160 (1972)
    • (1972) SIAM Journal on Computing , vol.1 , Issue.2 , pp. 146-160
    • Tarjan, R.1
  • 12
    • 0032348480 scopus 로고    scopus 로고
    • Normal-boundary intersection: A new method for generating the Pareto surface in multicriteria optimization problems
    • Das, I., Dennis, J.: Normal-boundary intersection: a new method for generating the Pareto surface in multicriteria optimization problems. SIAM J. Optimization 8, 631-657 (1998)
    • (1998) SIAM J. Optimization , vol.8 , pp. 631-657
    • Das, I.1    Dennis, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.