메뉴 건너뛰기




Volumn 8, Issue 3, 2002, Pages 251-264

Conditions for solvability of extended algebraic riccati equations with applications to dissipativity theory

Author keywords

Absolute stability; Nonlinear systems; Passive systems; Positive real lemma; Riccati equations

Indexed keywords

ALGEBRA; FREQUENCY DOMAIN ANALYSIS; PROBLEM SOLVING; RICCATI EQUATIONS;

EID: 2442709928     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.3166/ejc.8.251-264     Document Type: Article
Times cited : (2)

References (29)
  • 2
    • 0030413652 scopus 로고    scopus 로고
    • On the solvability of Riccati inequalities with sign indefinite quadratic terms
    • Kyoto
    • Barabanov NE. On the solvability of Riccati inequalities with sign indefinite quadratic terms. Proceedings of CDC, Kyoto 1996
    • (1996) Proceedings of CDC
    • Barabanov, N.E.1
  • 3
    • 0005413910 scopus 로고
    • Criterii de stabilitate pentru sistemele nonlineare de reglage automata bazata pe utilizarea transformanei Laplace
    • Popov VM. Criterii de stabilitate pentru sistemele nonlineare de reglage automata bazata pe utilizarea transformanei Laplace. Studei si Ceccetar Tari Energetica, 1959; 9(1)
    • (1959) Studei Si Ceccetar Tari Energetica , vol.9 , Issue.1
    • Popov, V.M.1
  • 5
    • 84938017582 scopus 로고
    • On the input-output stability of time-varying nonlinear feedback systems
    • Zames G. On the input-output stability of time-varying nonlinear feedback systems. IEEE Trans Autom Control 1966; 11(2): 228-239
    • (1966) IEEE Trans Autom Control , vol.11 , Issue.2 , pp. 228-239
    • Zames, G.1
  • 6
    • 0003045204 scopus 로고
    • Stability for systems with monotone and slope-restricted nonlinearities
    • Zames G, Falb PL. Stability for systems with monotone and slope-restricted nonlinearities. SIAM J Control 1968; 6(2): 89-108
    • (1968) SIAM J Control , vol.6 , Issue.2 , pp. 89-108
    • Zames, G.1    Falb, P.L.2
  • 7
    • 0000771130 scopus 로고
    • Solution to some matrix inequalities arising in automatic control theory
    • in Russian
    • Yakubovich VA. Solution to some matrix inequalities arising in automatic control theory, Doklady Akademii Nauk SSSR 1962; 143(6): 1304-1307 (in Russian)
    • (1962) Doklady Akademii Nauk SSSR , vol.143 , Issue.6 , pp. 1304-1307
    • Yakubovich, V.A.1
  • 8
    • 0000302024 scopus 로고
    • Lyapunov functions for the problem of Lur'c in automatic control
    • Kalman RE. Lyapunov functions for the problem of Lur'c in automatic control. Proc Natl Acad Sci USA 1963; 49(2): 201-205
    • (1963) Proc Natl Acad Sci USA , vol.49 , Issue.2 , pp. 201-205
    • Kalman, R.E.1
  • 14
    • 0000976646 scopus 로고
    • Matrix inequality method in the theory of stability of automatic control systems
    • Yakubovich VA. Matrix inequality method in the theory of stability of automatic control systems. Automation and Remote Control 1964; (7): 1017-1029
    • (1964) Automation and Remote Control , Issue.7 , pp. 1017-1029
    • Yakubovich, V.A.1
  • 15
    • 0013305199 scopus 로고
    • Matrix inequality method in the theory of stability of automatic control systems
    • Yakubovich VA. Matrix inequality method in the theory of stability of automatic control systems. Automation and Remote Control 1965; (4): 577-600
    • (1965) Automation and Remote Control , Issue.4 , pp. 577-600
    • Yakubovich, V.A.1
  • 16
    • 0003197698 scopus 로고    scopus 로고
    • Matrix inequality method in the theory of stability of automatic control systems
    • in Russian
    • Yakubovich VA. Matrix inequality method in the theory of stability of automatic control systems. Automation and Remote Control (5): 753-769 (in Russian)
    • Automation and Remote Control , pp. 753-769
    • Yakubovich, V.A.1
  • 17
    • 0039573161 scopus 로고
    • Absolute stability of nonlinear control systems in critical cases
    • Yakubovich VA. Absolute stability of nonlinear control systems in critical cases. Automation and Remote Control 1963; (3): 293-303.
    • (1963) Automation and Remote Control , Issue.3 , pp. 293-303
    • Yakubovich, V.A.1
  • 18
    • 33747108824 scopus 로고
    • Absolute stability of nonlinear control systems in critical cases
    • Yakubovich VA. Absolute stability of nonlinear control systems in critical cases. Automation and Remote Control (5): 601-612 1964;
    • (1964) Automation and Remote Control , Issue.5 , pp. 601-612
    • Yakubovich, V.A.1
  • 19
    • 85030596801 scopus 로고    scopus 로고
    • Absolute stability of nonlinear control systems in critical cases
    • in Russian
    • Yakubovich VA. Absolute stability of nonlinear control systems in critical cases. Automation and Remote Control (6): 717-731 (in Russian)
    • Automation and Remote Control , Issue.6 , pp. 717-731
    • Yakubovich, V.A.1
  • 21
    • 33750197874 scopus 로고
    • The frequency domain theorem for periodic systems
    • in Russian
    • Yakubovich VA. The frequency domain theorem for periodic systems. Doklady Akademii Nauk SSSR, 1986; 287: 70-73 (in Russian)
    • (1986) Doklady Akademii Nauk SSSR , vol.287 , pp. 70-73
    • Yakubovich, V.A.1
  • 22
    • 0026855298 scopus 로고
    • The Kalman-Yakubovich lemma for nonstationary systems and its applications
    • Savkin AV. The Kalman-Yakubovich lemma for nonstationary systems and its applications. Int J Adaptive Control Signal Proc 1992; 6: 253-257
    • (1992) Int J Adaptive Control Signal Proc , vol.6 , pp. 253-257
    • Savkin, A.V.1
  • 23
    • 4243196717 scopus 로고    scopus 로고
    • Generalized continuous-time Riccati Theory
    • 1996
    • Ionescu V, Weiss M. Generalized continuous-time Riccati Theory. Linear Algebra and its Appl 1996; 232: 111-131, 1996
    • (1996) Linear Algebra and Its Appl , vol.232 , pp. 111-131
    • Ionescu, V.1    Weiss, M.2
  • 24
    • 0031199583 scopus 로고    scopus 로고
    • General matrix pencil techniques for the solution of algebraic Riccati equations: A unified approach
    • Ionescu V, Oara C, Weiss M. General matrix pencil techniques for the solution of algebraic Riccati equations: a unified approach. IEEE Trans Autom "Control 1997; 42(8): 1085-1097
    • (1997) IEEE Trans Autom "Control , vol.42 , Issue.8 , pp. 1085-1097
    • Ionescu, V.1    Oara, C.2    Weiss, M.3
  • 27
    • 0031162465 scopus 로고
    • System analysis via integral quadratic constraints
    • Megretski A, Rantzer A. System analysis via integral quadratic constraints. IEEE Trans Autom Control 1977; 42: 819-830
    • (1977) IEEE Trans Autom Control , vol.42 , pp. 819-830
    • Megretski, A.1    Rantzer, A.2
  • 28
    • 0002676302 scopus 로고    scopus 로고
    • On the Kalman-Yakubovich-Popov lemma
    • Rantzer A. On the Kalman-Yakubovich-Popov lemma. Systems Control Lett 1996; 28(1): 7-10
    • (1996) Systems Control Lett , vol.28 , Issue.1 , pp. 7-10
    • Rantzer, A.1
  • 29
    • 34250464350 scopus 로고
    • Dissipative dynamical systems, Part I: General theory
    • Willems JC. Dissipative dynamical systems, Part I: General theory. Arch Rat Mech Analysis 1972; 45: 321-353
    • (1972) Arch Rat Mech Analysis , vol.45 , pp. 321-353
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.