Chellaboina, Vijaysekhar; Haddad, Wassim M. Dynamic dissipativity theory for stability of time-delay systems. (English) Zbl 1447.93292 Valmorbida, Giorgio (ed.) et al., Delays and interconnections: methodology, algorithms and applications. Selected contributions of the 4th DelSys workshop, Gif-sur-Yvette, France, November 25–27, 2015. Cham: Springer. Adv. Delays Dyn. 10, 33-47 (2019). MSC: 93D21 93D15 93C43 93B52 93C10 93C05 PDF BibTeX XML Cite \textit{V. Chellaboina} and \textit{W. M. Haddad}, Adv. Delays Dyn. 10, 33--47 (2019; Zbl 1447.93292) Full Text: DOI
Dey, Arnab; Patra, Sourav; Sen, Siddhartha Stability analysis and controller design for Lur’e system with hysteresis nonlinearities: a negative-imaginary theory based approach. (English) Zbl 1421.93103 Int. J. Control 92, No. 8, 1903-1913 (2019). MSC: 93D05 93B51 93B52 93C10 93C35 PDF BibTeX XML Cite \textit{A. Dey} et al., Int. J. Control 92, No. 8, 1903--1913 (2019; Zbl 1421.93103) Full Text: DOI
Scherer, Carsten W.; Veenman, Joost Stability analysis by dynamic dissipation inequalities: on merging frequency-domain techniques with time-domain conditions. (English) Zbl 1408.93095 Syst. Control Lett. 121, 7-15 (2018). MSC: 93D09 93C80 PDF BibTeX XML Cite \textit{C. W. Scherer} and \textit{J. Veenman}, Syst. Control Lett. 121, 7--15 (2018; Zbl 1408.93095) Full Text: DOI arXiv
Liu, Bo; Jia, Xin-Chun New absolute stability criteria for uncertain Lur’e systems with time-varying delays. (English) Zbl 1390.93620 J. Franklin Inst. 355, No. 9, 4015-4031 (2018). MSC: 93D09 93C15 93C41 PDF BibTeX XML Cite \textit{B. Liu} and \textit{X.-C. Jia}, J. Franklin Inst. 355, No. 9, 4015--4031 (2018; Zbl 1390.93620) Full Text: DOI
Llibre, Jaume; Teixeira, Marco Antonio Piecewise linear differential systems with only centers can create limit cycles? (English) Zbl 1390.34081 Nonlinear Dyn. 91, No. 1, 249-255 (2018). MSC: 34C05 34A36 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{M. A. Teixeira}, Nonlinear Dyn. 91, No. 1, 249--255 (2018; Zbl 1390.34081) Full Text: DOI
Carrasco, Joaquin; Heath, William Paul Comment on: “Absolute stability analysis for negative-imaginary systems”. (English) Zbl 1375.93092 Automatica 85, 486-488 (2017). MSC: 93D05 93D20 93C15 93C10 PDF BibTeX XML Cite \textit{J. Carrasco} and \textit{W. P. Heath}, Automatica 85, 486--488 (2017; Zbl 1375.93092) Full Text: DOI
Silva Lima, Maurício Firmino; Pessoa, Claudio; Pereira, Weber F. Limit cycles bifurcating from a period annulus in continuous piecewise linear differential systems with three zones. (English) Zbl 1362.34067 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 2, Article ID 1750022, 14 p. (2017). MSC: 34C23 34C05 34C25 PDF BibTeX XML Cite \textit{M. F. Silva Lima} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 2, Article ID 1750022, 14 p. (2017; Zbl 1362.34067) Full Text: DOI
Kim, Kwang-Ki K.; Braatz, Richard D. Robust static and fixed-order dynamic output feedback control of discrete-time parametric uncertain Lur’e systems: sequential SDP relaxation approaches. (English) Zbl 1356.93031 Optim. Control Appl. Methods 38, No. 1, 36-58 (2017). MSC: 93B52 93B51 93C55 93C10 90C22 93D20 PDF BibTeX XML Cite \textit{K.-K. K. Kim} and \textit{R. D. Braatz}, Optim. Control Appl. Methods 38, No. 1, 36--58 (2017; Zbl 1356.93031) Full Text: DOI
Singh, Jayant; Barabanov, Nikita Stability of discrete time recurrent neural networks and nonlinear optimization problems. (English) Zbl 1395.39008 Neural Netw. 74, 58-72 (2016). MSC: 39A30 39A60 PDF BibTeX XML Cite \textit{J. Singh} and \textit{N. Barabanov}, Neural Netw. 74, 58--72 (2016; Zbl 1395.39008) Full Text: DOI
Carrasco, Joaquin; Turner, Matthew C.; Heath, William P. Zames-Falb multipliers for absolute stability: from O’Shea’s contribution to convex searches. (English) Zbl 1336.93120 Eur. J. Control 28, 1-19 (2016). MSC: 93D09 93C10 PDF BibTeX XML Cite \textit{J. Carrasco} et al., Eur. J. Control 28, 1--19 (2016; Zbl 1336.93120) Full Text: DOI
Dey, Arnab; Patra, Sourav; Sen, Siddhartha Absolute stability analysis for negative-imaginary systems. (English) Zbl 1335.93093 Automatica 67, 107-113 (2016). MSC: 93D05 93D20 93C15 93C10 PDF BibTeX XML Cite \textit{A. Dey} et al., Automatica 67, 107--113 (2016; Zbl 1335.93093) Full Text: DOI
Llibre, Jaume; Ponce, Enrique; Valls, Clàudia Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry. (English) Zbl 1331.34042 J. Nonlinear Sci. 25, No. 4, 861-887 (2015). Reviewer: Maite Grau (Lleida) MSC: 34C05 34A36 PDF BibTeX XML Cite \textit{J. Llibre} et al., J. Nonlinear Sci. 25, No. 4, 861--887 (2015; Zbl 1331.34042) Full Text: DOI
Silva Lima, Maurício Firmino; Pessoa, Claudio; Pereira, Weber F. On the limit cycles for a class of continuous piecewise linear differential systems with three zones. (English) Zbl 1314.34064 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 4, Article ID 1550059, 13 p. (2015). MSC: 34C05 34A36 PDF BibTeX XML Cite \textit{M. F. Silva Lima} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 4, Article ID 1550059, 13 p. (2015; Zbl 1314.34064) Full Text: DOI
Chesi, Graziano Minimizing trigonometric matrix polynomials over semi-algebraic sets. (English) Zbl 1309.93068 Automatica 52, 266-271 (2015). MSC: 93B60 90C22 PDF BibTeX XML Cite \textit{G. Chesi}, Automatica 52, 266--271 (2015; Zbl 1309.93068) Full Text: DOI
Peng, Jinzhu; Liu, Yan; Wang, Jie Fuzzy adaptive output feedback control for robotic systems based on fuzzy adaptive observer. (English) Zbl 1331.93134 Nonlinear Dyn. 78, No. 2, 789-801 (2014). MSC: 93C42 93C40 93C85 93B52 93C10 37N35 37M05 70E60 PDF BibTeX XML Cite \textit{J. Peng} et al., Nonlinear Dyn. 78, No. 2, 789--801 (2014; Zbl 1331.93134) Full Text: DOI
Kim, Kwang-Ki K.; Braatz, Richard D. Observer-based output feedback control of discrete-time Lur’e systems with sector-bounded slope-restricted nonlinearities. (English) Zbl 1302.93118 Int. J. Robust Nonlinear Control 24, No. 16, 2458-2472 (2014). MSC: 93B52 93D15 93B35 93C55 93C05 PDF BibTeX XML Cite \textit{K.-K. K. Kim} and \textit{R. D. Braatz}, Int. J. Robust Nonlinear Control 24, No. 16, 2458--2472 (2014; Zbl 1302.93118) Full Text: DOI
Kouhi, Yashar; Bajcinca, Naim; Raisch, Jörg; Shorten, Robert On the quadratic stability of switched linear systems associated with symmetric transfer function matrices. (English) Zbl 1300.93132 Automatica 50, No. 11, 2872-2879 (2014). MSC: 93D09 93B60 93C30 93C05 PDF BibTeX XML Cite \textit{Y. Kouhi} et al., Automatica 50, No. 11, 2872--2879 (2014; Zbl 1300.93132) Full Text: DOI
Sathananthan, S.; Knap, M. J.; Keel, L. H. Robust stability and stabilization of a class of nonlinear Itô-type stochastic systems via linear matrix inequalities. (English) Zbl 1261.93088 Stochastic Anal. Appl. 31, No. 2, 235-249 (2013). MSC: 93E15 93D15 93B52 93E03 93D09 PDF BibTeX XML Cite \textit{S. Sathananthan} et al., Stochastic Anal. Appl. 31, No. 2, 235--249 (2013; Zbl 1261.93088) Full Text: DOI
Grabowski, Piotr Absolute stability criteria for infinite-dimensional discrete Lur’e systems with application to loaded distortionless electric \(\mathfrak {RLCG}\)-transmission line. (English) Zbl 1259.93087 J. Difference Equ. Appl. 19, No. 2, 304-331 (2013). MSC: 93D05 93C55 93B52 93B28 PDF BibTeX XML Cite \textit{P. Grabowski}, J. Difference Equ. Appl. 19, No. 2, 304--331 (2013; Zbl 1259.93087) Full Text: DOI
Balochian, Saeed; Sedigh, Ali Khaki Stabilization of chaos systems described by nonlinear fractional-order polytopic differential inclusion. (English) Zbl 1331.34009 Chaos 22, No. 1, 013120, 8 p. (2012). MSC: 34A08 34H05 34A60 34C60 PDF BibTeX XML Cite \textit{S. Balochian} and \textit{A. K. Sedigh}, Chaos 22, No. 1, 013120, 8 p. (2012; Zbl 1331.34009) Full Text: DOI
Sathananthan, S.; Knap, M. J.; Strong, A.; Keel, L. H. Robust stability and stabilization of a class of nonlinear discrete time stochastic systems: an LMI approach. (English) Zbl 1290.93199 Appl. Math. Comput. 219, No. 4, 1988-1997 (2012). MSC: 93E15 93D09 93D21 93C05 93C55 93B52 PDF BibTeX XML Cite \textit{S. Sathananthan} et al., Appl. Math. Comput. 219, No. 4, 1988--1997 (2012; Zbl 1290.93199) Full Text: DOI
Silva Lima, Maurício Firmino; Llibre, Jaume Limit cycles for a class of continuous piecewise linear differential systems with three zones. (English) Zbl 1270.34047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 6, Article ID 1250138, 10 p. (2012). MSC: 34C05 34A36 PDF BibTeX XML Cite \textit{M. F. Silva Lima} and \textit{J. Llibre}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 6, Article ID 1250138, 10 p. (2012; Zbl 1270.34047) Full Text: DOI
Alpay, Daniel; Lewkowicz, Izchak The positive real lemma and construction of all realizations of generalized positive rational functions. (English) Zbl 1231.93021 Syst. Control Lett. 60, No. 12, 985-993 (2011). MSC: 93B15 15B48 93B52 PDF BibTeX XML Cite \textit{D. Alpay} and \textit{I. Lewkowicz}, Syst. Control Lett. 60, No. 12, 985--993 (2011; Zbl 1231.93021) Full Text: DOI arXiv
Wang, Yongfu; Chai, Tianyou; Zhang, Yimin State observer-based adaptive fuzzy output-feedback control for a class of uncertain nonlinear systems. (English) Zbl 1205.93091 Inf. Sci. 180, No. 24, 5029-5040 (2010). MSC: 93C42 93C10 93C40 93C15 93B52 PDF BibTeX XML Cite \textit{Y. Wang} et al., Inf. Sci. 180, No. 24, 5029--5040 (2010; Zbl 1205.93091) Full Text: DOI
Zeheb, Ezra; Shorten, Robert; Sajja, S. Shravan K. Strict positive realness of descriptor systems in state space. (English) Zbl 1213.93076 Int. J. Control 83, No. 9, 1799-1809 (2010); corrigendum ibid. 85, No. 5, 612 (2012). MSC: 93C05 93D25 PDF BibTeX XML Cite \textit{E. Zeheb} et al., Int. J. Control 83, No. 9, 1799--1809 (2010; Zbl 1213.93076) Full Text: DOI
Alpay, Daniel; Lewkowicz, Izchak An easy-to-compute factorization of rational generalized positive functions. (English) Zbl 1208.30051 Syst. Control Lett. 59, No. 9, 517-521 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 30H15 26C15 PDF BibTeX XML Cite \textit{D. Alpay} and \textit{I. Lewkowicz}, Syst. Control Lett. 59, No. 9, 517--521 (2010; Zbl 1208.30051) Full Text: DOI
Zečević, A. I.; Cheng, E.; Šiljak, D. D. Control design for large-scale Lur’e systems with arbitrary information structure constraints. (English) Zbl 1201.93044 Appl. Math. Comput. 217, No. 3, 1277-1286 (2010). MSC: 93B51 93A15 93B52 93C05 93C10 PDF BibTeX XML Cite \textit{A. I. Zečević} et al., Appl. Math. Comput. 217, No. 3, 1277--1286 (2010; Zbl 1201.93044) Full Text: DOI
Shorten, Robert; Narendra, Kumpati S. On a theorem of Redheffer concerning diagonal stability. (English) Zbl 1207.34068 Linear Algebra Appl. 431, No. 12, 2317-2329 (2009). Reviewer: Olusola Akinyele (Bowie) MSC: 34D20 34A30 PDF BibTeX XML Cite \textit{R. Shorten} and \textit{K. S. Narendra}, Linear Algebra Appl. 431, No. 12, 2317--2329 (2009; Zbl 1207.34068) Full Text: DOI
Yu, Yongbin; Zhang, Fengli; Zhong, Qishui; Liao, Xiaofeng; Yu, Juebang Impulsive control of Lurie systems. (English) Zbl 1165.34380 Comput. Math. Appl. 56, No. 11, 2806-2813 (2008). MSC: 34D20 34A37 93D15 PDF BibTeX XML Cite \textit{Y. Yu} et al., Comput. Math. Appl. 56, No. 11, 2806--2813 (2008; Zbl 1165.34380) Full Text: DOI
Duan, Zhisheng; Wang, Jinzhi; Li, Rong; Huang, Lin A generalization of smooth Chua’s equations under Lagrange stability. (English) Zbl 1185.37072 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 9, 3047-3059 (2007). MSC: 37D45 94C05 93D05 34C15 PDF BibTeX XML Cite \textit{Z. Duan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 9, 3047--3059 (2007; Zbl 1185.37072) Full Text: DOI
Duan, Zhisheng; Wang, Jinzhi; Huang, Lin Criteria for dichotomy and gradient-like behavior of a class of nonlinear systems with multiple equilibria. (English) Zbl 1128.93313 Automatica 43, No. 9, 1583-1589 (2007). MSC: 93B10 93C10 93B51 PDF BibTeX XML Cite \textit{Z. Duan} et al., Automatica 43, No. 9, 1583--1589 (2007; Zbl 1128.93313) Full Text: DOI
Cohen, Nir; Lewkowicz, Izchak Convex invertible cones and positive real analytic functions. (English) Zbl 1133.15018 Linear Algebra Appl. 425, No. 2-3, 797-813 (2007). Reviewer: Alexander Guterman (Moskva) MSC: 15B48 15A24 46A55 47L07 93D30 93B20 94C05 PDF BibTeX XML Cite \textit{N. Cohen} and \textit{I. Lewkowicz}, Linear Algebra Appl. 425, No. 2--3, 797--813 (2007; Zbl 1133.15018) Full Text: DOI
Cheng, Teddy M.; Savkin, Andrey V. Output feedback stabilization of nonlinear networked control systems with non-decreasing nonlinearities: a matrix inequalities approach. (English) Zbl 1113.93085 Int. J. Robust Nonlinear Control 17, No. 5-6, 387-404 (2007). MSC: 93D15 93C10 PDF BibTeX XML Cite \textit{T. M. Cheng} and \textit{A. V. Savkin}, Int. J. Robust Nonlinear Control 17, No. 5--6, 387--404 (2007; Zbl 1113.93085) Full Text: DOI
Liu, Chao; Huang, Lin; Feng, Dexing Criterion for Lagrange stability of a class of pendulum-like systems in Hilbert spaces. (English) Zbl 1113.93082 J. Math. Anal. Appl. 331, No. 1, 655-668 (2007). MSC: 93D05 93C10 93B52 34D20 PDF BibTeX XML Cite \textit{C. Liu} et al., J. Math. Anal. Appl. 331, No. 1, 655--668 (2007; Zbl 1113.93082) Full Text: DOI
Chesi, G.; Garulli, A.; Tesi, A.; Vicino, A. Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions. (English) Zbl 1111.93064 Automatica 43, No. 2, 309-316 (2007). MSC: 93D09 93D30 93C05 PDF BibTeX XML Cite \textit{G. Chesi} et al., Automatica 43, No. 2, 309--316 (2007; Zbl 1111.93064) Full Text: DOI
Mason, Oliver; Shorten, Robert; Solmaz, Selim On the Kalman-Yacubovich-Popov Lemma and common Lyapunov solutions for matrices with regular inertia. (English) Zbl 1123.15008 Linear Algebra Appl. 420, No. 1, 183-197 (2007). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A24 93D05 34D20 PDF BibTeX XML Cite \textit{O. Mason} et al., Linear Algebra Appl. 420, No. 1, 183--197 (2007; Zbl 1123.15008) Full Text: DOI
Fernández-Anaya, G.; Martínez García, J. C.; Kučera, Vladimír; Aguilar-George, D. SPR0 substitutions and families of algebraic Riccati equations. (English) Zbl 1249.93042 Kybernetika 42, No. 5, 605-616 (2006). MSC: 93B25 93B36 15A24 PDF BibTeX XML Cite \textit{G. Fernández-Anaya} et al., Kybernetika 42, No. 5, 605--616 (2006; Zbl 1249.93042) Full Text: Link EuDML
Savkin, Andrey V. Analysis and synthesis of networked control systems: topological entropy, observability, robustness and optimal control. (English) Zbl 1121.93321 Automatica 42, No. 1, 51-62 (2006). MSC: 93B50 93B35 90B10 93B07 90B18 93C41 PDF BibTeX XML Cite \textit{A. V. Savkin}, Automatica 42, No. 1, 51--62 (2006; Zbl 1121.93321) Full Text: DOI
Fernández-Anaya, G.; Martínez-García, J. C.; Kučera, V. Characterizing families of positive real matrices by matrix substitutions on scalar rational functions. (English) Zbl 1113.93092 Syst. Control Lett. 55, No. 11, 871-878 (2006). MSC: 93D20 93B51 93C05 93B35 PDF BibTeX XML Cite \textit{G. Fernández-Anaya} et al., Syst. Control Lett. 55, No. 11, 871--878 (2006; Zbl 1113.93092) Full Text: DOI
de la Sen, M. Asymptotic hyperstability under unstructured and structured modeling deviations from the linear behavior. (English) Zbl 1093.93023 Nonlinear Anal., Real World Appl. 7, No. 2, 248-264 (2006). MSC: 93D10 34D20 PDF BibTeX XML Cite \textit{M. de la Sen}, Nonlinear Anal., Real World Appl. 7, No. 2, 248--264 (2006; Zbl 1093.93023) Full Text: DOI
Johansson, Rolf; Robertsson, Anders The Yakubovich-Kalman-Popov lemma and stability analysis of dynamic output feedback systems. (English) Zbl 1085.93018 Int. J. Robust Nonlinear Control 16, No. 2, 45-69 (2006). MSC: 93D05 93B52 93C10 93D15 PDF BibTeX XML Cite \textit{R. Johansson} and \textit{A. Robertsson}, Int. J. Robust Nonlinear Control 16, No. 2, 45--69 (2006; Zbl 1085.93018) Full Text: DOI
King, Christopher; Shorten, Robert Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems. (English) Zbl 1102.93035 Linear Algebra Appl. 413, No. 1, 24-35 (2006). MSC: 93D30 93C15 PDF BibTeX XML Cite \textit{C. King} and \textit{R. Shorten}, Linear Algebra Appl. 413, No. 1, 24--35 (2006; Zbl 1102.93035) Full Text: DOI
Wu, Min; He, Yong; Liu, Guo-Ping; She, Jin-Hua On absolute stability of Lur’e control systems with multiple non-linearities. (English) Zbl 1293.93581 Eur. J. Control 11, No. 1, 19-28 (2005). MSC: 93D05 93D30 93D09 93C15 PDF BibTeX XML Cite \textit{M. Wu} et al., Eur. J. Control 11, No. 1, 19--28 (2005; Zbl 1293.93581) Full Text: DOI
Hu, Tingshu; Lin, Zongli Convex analysis of invariant sets for a class of nonlinear systems. (English) Zbl 1129.93471 Syst. Control Lett. 54, No. 8, 729-737 (2005). MSC: 93D05 90C25 93C10 PDF BibTeX XML Cite \textit{T. Hu} and \textit{Z. Lin}, Syst. Control Lett. 54, No. 8, 729--737 (2005; Zbl 1129.93471) Full Text: DOI
Hu, Tingshu; Goebel, Rafal; Teel, Andrew R.; Lin, Zongli Conjugate Lyapunov functions for saturated linear systems. (English) Zbl 1125.93439 Automatica 41, No. 11, 1949-1956 (2005). MSC: 93D05 34A60 34D20 PDF BibTeX XML Cite \textit{T. Hu} et al., Automatica 41, No. 11, 1949--1956 (2005; Zbl 1125.93439) Full Text: DOI
Fu, Minyue; Dasgupta, Soura; Soh, Yeng Chai Integral quadratic constraint approach vs. multiplier approach. (English) Zbl 1116.93373 Automatica 41, No. 2, 281-287 (2005). MSC: 93D10 93D09 93C10 PDF BibTeX XML Cite \textit{M. Fu} et al., Automatica 41, No. 2, 281--287 (2005; Zbl 1116.93373) Full Text: DOI
He, Yong; Wu, Min; She, Jin-Hua; Liu, Guo-Ping Robust stability for delay Lur’e control systems with multiple nonlinearities. (English) Zbl 1076.93036 J. Comput. Appl. Math. 176, No. 2, 371-380 (2005). Reviewer: Mihail Megan (Timişoara) MSC: 93D10 93D30 93C23 15A39 PDF BibTeX XML Cite \textit{Y. He} et al., J. Comput. Appl. Math. 176, No. 2, 371--380 (2005; Zbl 1076.93036) Full Text: DOI
Chellaboina, VijaySekhar; Haddad, Wassim M.; Kamath, Ajeet A dissipative dynamical systems approach to stability analysis of time delay systems. (English) Zbl 1056.93053 Int. J. Robust Nonlinear Control 15, No. 1, 25-33 (2005). MSC: 93D20 93C23 PDF BibTeX XML Cite \textit{V. Chellaboina} et al., Int. J. Robust Nonlinear Control 15, No. 1, 25--33 (2005; Zbl 1056.93053) Full Text: DOI
Mahmoud, Magdi S. Discussion on: “Positive real control for uncertain singular time-delay systems via output feedback controllers”. (English) Zbl 1293.93355 Eur. J. Control 10, No. 4, 303-305 (2004). MSC: 93B52 93D15 93C05 93C41 PDF BibTeX XML Cite \textit{M. S. Mahmoud}, Eur. J. Control 10, No. 4, 303--305 (2004; Zbl 1293.93355) Full Text: DOI
Wu, Min; He, Yong; She, Jinhua On absolute stability of Lur’e control systems with multiple non-linearities using linear matrix inequalities. (English) Zbl 1260.93147 J. Control Theory Appl. 2, No. 2, 131-136 (2004). MSC: 93D30 93C15 93D09 PDF BibTeX XML Cite \textit{M. Wu} et al., J. Control Theory Appl. 2, No. 2, 131--136 (2004; Zbl 1260.93147) Full Text: DOI
Yang, Ying; Fu, Rao; Huang, Lin Robust analysis and synthesis for a class of uncertain nonlinear systems with multiple equilibria. (English) Zbl 1157.93382 Syst. Control Lett. 53, No. 2, 89-105 (2004). MSC: 93B50 93C15 93D09 PDF BibTeX XML Cite \textit{Y. Yang} et al., Syst. Control Lett. 53, No. 2, 89--105 (2004; Zbl 1157.93382) Full Text: DOI
Llibre, Jaume; Teruel, Antonio E. Existence of Poincaré maps in piecewise linear differential systems in \({\mathbb R}^ N\). (English) Zbl 1062.34004 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 8, 2843-2851 (2004). MSC: 34A26 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{A. E. Teruel}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 8, 2843--2851 (2004; Zbl 1062.34004) Full Text: DOI
Xu, Bingji; Liu, Xinzhi; Liao, Xiaoxin Absolute stability of Lurie systems with impulsive effects. (English) Zbl 1057.34049 Comput. Math. Appl. 47, No. 2-3, 419-425 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 34D20 34A37 93D30 PDF BibTeX XML Cite \textit{B. Xu} et al., Comput. Math. Appl. 47, No. 2--3, 419--425 (2004; Zbl 1057.34049) Full Text: DOI
Yang, Ying; Huang, Lin Absolute stabilization related to circle criterion: An LMI-based approach. (English) Zbl 1049.93066 Appl. Math. Mech., Engl. Ed. 24, No. 8, 909-916 (2003). Reviewer: Didier Henrion (Toulouse) MSC: 93D10 93D15 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{L. Huang}, Appl. Math. Mech., Engl. Ed. 24, No. 8, 909--916 (2003; Zbl 1049.93066) Full Text: DOI
He, Yong; Wu, Min Absolute stability for multiple delay general Lur’e control systems with multiple nonlinearities. (English) Zbl 1032.93062 J. Comput. Appl. Math. 159, No. 2, 241-248 (2003). Reviewer: M.Megan (Timişoara) MSC: 93D10 93C23 93C10 PDF BibTeX XML Cite \textit{Y. He} and \textit{M. Wu}, J. Comput. Appl. Math. 159, No. 2, 241--248 (2003; Zbl 1032.93062) Full Text: DOI
Chesi, G.; Garulli, A.; Tesi, A.; Vicino, A. Homogeneous Lyapunov functions for systems with structured uncertainties. (English) Zbl 1079.93036 Automatica 39, No. 6, 1027-1035 (2003). MSC: 93D30 PDF BibTeX XML Cite \textit{G. Chesi} et al., Automatica 39, No. 6, 1027--1035 (2003; Zbl 1079.93036) Full Text: DOI
Arcak, Murat; Larsen, Michael; Kokotović, Petar Circle and Popov criteria as tools for nonlinear feedback design. (English) Zbl 1034.93050 Automatica 39, No. 4, 643-650 (2003). Reviewer: M. Megan (Timişoara) MSC: 93D10 93C10 PDF BibTeX XML Cite \textit{M. Arcak} et al., Automatica 39, No. 4, 643--650 (2003; Zbl 1034.93050) Full Text: DOI
Gan, Zuoxin; Han, Jingqing Lyapunov function of general Lurie systems with multiple nonlinearities. (English) Zbl 1051.93081 Appl. Math. Lett. 16, No. 1, 119-126 (2003). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 93D10 93D30 93C10 PDF BibTeX XML Cite \textit{Z. Gan} and \textit{J. Han}, Appl. Math. Lett. 16, No. 1, 119--126 (2003; Zbl 1051.93081) Full Text: DOI
Barabanov, Nikita E.; Ortega, Romeo Conditions for solvability of extended algebraic Riccati equations with applications to dissipativity theory. (English) Zbl 1293.93263 Eur. J. Control 8, No. 3, 251-264 (2002). MSC: 93B36 93B35 15A22 PDF BibTeX XML Cite \textit{N. E. Barabanov} and \textit{R. Ortega}, Eur. J. Control 8, No. 3, 251--264 (2002; Zbl 1293.93263) Full Text: DOI
Arcak, Murat; Larsen, Michael; Kokotović, Petar Boundedness without absolute stability in systems with stiffening nonlinearities. (English) Zbl 1293.93600 Eur. J. Control 8, No. 3, 243-250 (2002). MSC: 93D15 93C10 PDF BibTeX XML Cite \textit{M. Arcak} et al., Eur. J. Control 8, No. 3, 243--250 (2002; Zbl 1293.93600) Full Text: DOI
Corduneanu, C. Absolute stability for neutral differential systems. (English) Zbl 1293.93595 Eur. J. Control 8, No. 3, 209-212 (2002). MSC: 93D10 93C80 34K40 PDF BibTeX XML Cite \textit{C. Corduneanu}, Eur. J. Control 8, No. 3, 209--212 (2002; Zbl 1293.93595) Full Text: DOI
Arcak, Murat; Teel, Andrew Input-to-state stability for a class of Lur’e systems. (English) Zbl 1011.93101 Automatica 38, No. 11, 1945-1949 (2002). MSC: 93D25 93D10 93C10 PDF BibTeX XML Cite \textit{M. Arcak} and \textit{A. Teel}, Automatica 38, No. 11, 1945--1949 (2002; Zbl 1011.93101) Full Text: DOI
Wang, Rongdong Algebraic criteria for absolute stability. (English) Zbl 1106.93335 Syst. Control Lett. 47, No. 5, 401-416 (2002). MSC: 93D20 93C10 PDF BibTeX XML Cite \textit{R. Wang}, Syst. Control Lett. 47, No. 5, 401--416 (2002; Zbl 1106.93335) Full Text: DOI
Johansson, Rolf; Robertsson, Anders Observer-based strict positive real (SPR) feedback control system design. (English) Zbl 1008.93059 Automatica 38, No. 9, 1557-1564 (2002). Reviewer: M.Megan (Timişoara) MSC: 93D10 93D21 93B51 PDF BibTeX XML Cite \textit{R. Johansson} and \textit{A. Robertsson}, Automatica 38, No. 9, 1557--1564 (2002; Zbl 1008.93059) Full Text: DOI
Liu, Derong; Molchanov, Alexander Criteria for robust absolute stability of time-varying nonlinear continuous-time systems. (English) Zbl 1013.93044 Automatica 38, No. 4, 627-637 (2002). Reviewer: Marc Quincampoix (Brest) MSC: 93D10 93D09 93C10 PDF BibTeX XML Cite \textit{D. Liu} and \textit{A. Molchanov}, Automatica 38, No. 4, 627--637 (2002; Zbl 1013.93044) Full Text: DOI
Van Pelt, Tobin H.; Bernstein, Dennis S. Nonlinear system identification using Hammerstein and nonlinear feedback models with piecewise linear static maps. (English) Zbl 1039.93015 Int. J. Control 74, No. 18, 1807-1823 (2001). Reviewer: Zygmunt Hasiewicz (Wrocław) MSC: 93B30 93B52 93B18 PDF BibTeX XML Cite \textit{T. H. Van Pelt} and \textit{D. S. Bernstein}, Int. J. Control 74, No. 18, 1807--1823 (2001; Zbl 1039.93015) Full Text: DOI
Gan, Zuoxin; Ge, Weigao Lyapunov functional for multiple delay general Lurie systems with multiple nonlinearities. (English) Zbl 0995.93041 J. Math. Anal. Appl. 259, No. 2, 596-608 (2001). Reviewer: Tamaza Tadumadze (Tbilisi) MSC: 93C23 93D10 93D30 93D15 PDF BibTeX XML Cite \textit{Z. Gan} and \textit{W. Ge}, J. Math. Anal. Appl. 259, No. 2, 596--608 (2001; Zbl 0995.93041) Full Text: DOI
Kokotović, Petar; Arcak, Murat Constructive nonlinear control: a historical perspective. (English) Zbl 1153.93301 Automatica 37, No. 5, 637-662 (2001). MSC: 93-02 93D21 93B50 PDF BibTeX XML Cite \textit{P. Kokotović} and \textit{M. Arcak}, Automatica 37, No. 5, 637--662 (2001; Zbl 1153.93301) Full Text: DOI
Impram, Serkan T.; Munro, Neil A note on absolute stability of uncertain systems. (English) Zbl 0972.93510 Automatica 37, No. 4, 605-610 (2001). MSC: 93D10 PDF BibTeX XML Cite \textit{S. T. Impram} and \textit{N. Munro}, Automatica 37, No. 4, 605--610 (2001; Zbl 0972.93510) Full Text: DOI
Glattfelder, Adolf Hermann; Tödtli, Jürg; Schaufelberger, Walter Stability properties and effects of measurement disturbances on antiwindup PI-and PID-control. (English) Zbl 1293.93495 Eur. J. Control 6, No. 5, 435-448 (2000). MSC: 93C55 93B52 PDF BibTeX XML Cite \textit{A. H. Glattfelder} et al., Eur. J. Control 6, No. 5, 435--448 (2000; Zbl 1293.93495) Full Text: DOI
Amato, Francesco Stability analysis and synthesis of systems subject to norm bounded, bounded rate uncertainties. (English) Zbl 1249.93137 Kybernetika 36, No. 1, 21-29 (2000). MSC: 93D09 93C05 93B50 PDF BibTeX XML Cite \textit{F. Amato}, Kybernetika 36, No. 1, 21--29 (2000; Zbl 1249.93137) Full Text: Link EuDML
Yakubovich, V. A. Necessity in quadratic criterion for absolute stability. (English) Zbl 1163.93378 Int. J. Robust Nonlinear Control 10, No. 11-12, 889-907 (2000). MSC: 93D10 93D05 34D99 34H05 PDF BibTeX XML Cite \textit{V. A. Yakubovich}, Int. J. Robust Nonlinear Control 10, No. 11--12, 889--907 (2000; Zbl 1163.93378) Full Text: DOI
Brokate, M.; Collings, I.; Pokrovskij, A. V.; Stagnitti, F. Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities. (English) Zbl 0972.47064 Z. Anal. Anwend. 19, No. 2, 469-487 (2000). Reviewer: Peter Zabreiko (Minsk) MSC: 47J40 34D05 PDF BibTeX XML Cite \textit{M. Brokate} et al., Z. Anal. Anwend. 19, No. 2, 469--487 (2000; Zbl 0972.47064) Full Text: DOI EuDML
Ugrinovskii, Valery A.; Petersen, Ian R. Guaranteed cost control of uncertain systems via Lur’e-Postnikov Lyapunov functions. (English) Zbl 0939.93032 Automatica 36, No. 2, 279-285 (2000). Reviewer: M.Megan (Timişoara) MSC: 93D10 93D30 93B36 93D21 PDF BibTeX XML Cite \textit{V. A. Ugrinovskii} and \textit{I. R. Petersen}, Automatica 36, No. 2, 279--285 (2000; Zbl 0939.93032) Full Text: DOI
Tyan, Feng; Bernstein, Dennis S. Global stabilization of systems containing a double integrator using a saturated linear controller. (English) Zbl 0980.93068 Int. J. Robust Nonlinear Control 9, No. 15, 1143-1156 (1999). Reviewer: Yuri N.Sankin (Ul’yanovsk) MSC: 93D15 93D30 93C10 PDF BibTeX XML Cite \textit{F. Tyan} and \textit{D. S. Bernstein}, Int. J. Robust Nonlinear Control 9, No. 15, 1143--1156 (1999; Zbl 0980.93068) Full Text: DOI
Balakrishnan, V.; Kashyap, R. L. Robust stability and performance analysis of uncertain systems using linear matrix inequalities. (English) Zbl 0951.93060 J. Optimization Theory Appl. 100, No. 3, 457-478 (1999). MSC: 93D09 90C25 PDF BibTeX XML Cite \textit{V. Balakrishnan} and \textit{R. L. Kashyap}, J. Optim. Theory Appl. 100, No. 3, 457--478 (1999; Zbl 0951.93060) Full Text: DOI
Llibre, Jaume; Ponce, Enrique Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields. (English) Zbl 1049.34052 Nonlinear Anal., Theory Methods Appl. 36, No. 5, B, 623-653 (1999). MSC: 34C23 34C25 37G15 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{E. Ponce}, Nonlinear Anal., Theory Methods Appl. 36, No. 5, 623--653 (1999; Zbl 1049.34052) Full Text: DOI
Wang, Long On strict positive realness of multilinearly parametrized interval systems. (English) Zbl 0917.93055 Sci. China, Ser. E 41, No. 5, 552-560 (1998). Reviewer: Alexandr Vasil’ev (Odessa) MSC: 93D09 93C80 93D10 PDF BibTeX XML Cite \textit{L. Wang}, Sci. China, Ser. E 41, No. 5, 552--560 (1998; Zbl 0917.93055) Full Text: DOI
Brokate, M.; Pokrovskiĭ, A. V. Asymptotically stable oscillations in systems with hysteresis nonlinearities. (English) Zbl 0919.34037 J. Differ. Equations 150, No. 1, 98-123 (1998). Reviewer: S.G.Zhuravlev (Moskva) MSC: 34C25 34D05 34D10 PDF BibTeX XML Cite \textit{M. Brokate} and \textit{A. V. Pokrovskiĭ}, J. Differ. Equations 150, No. 1, 98--123 (1998; Zbl 0919.34037) Full Text: DOI
Calcev, G.; Gorez, R.; De Neyer, M. Passivity approach to fuzzy control systems. (English) Zbl 0919.93047 Automatica 34, No. 3, 339-344 (1998). Reviewer: J.Virtanen (Vaasa) MSC: 93C42 93D10 93C80 PDF BibTeX XML Cite \textit{G. Calcev} et al., Automatica 34, No. 3, 339--344 (1998; Zbl 0919.93047) Full Text: DOI
Jönsson, Ulf Stability analysis with Popov multipliers and integral quadratic constraints. (English) Zbl 0901.93051 Syst. Control Lett. 31, No. 2, 85-92 (1997). MSC: 93D10 PDF BibTeX XML Cite \textit{U. Jönsson}, Syst. Control Lett. 31, No. 2, 85--92 (1997; Zbl 0901.93051) Full Text: DOI
Boussios, C.; Feron, E. Estimating the conservatism of Popov’s criterion for real parametric uncertainties. (English) Zbl 0901.93050 Syst. Control Lett. 31, No. 3, 173-183 (1997). MSC: 93D10 93D09 15A39 93D30 PDF BibTeX XML Cite \textit{C. Boussios} and \textit{E. Feron}, Syst. Control Lett. 31, No. 3, 173--183 (1997; Zbl 0901.93050) Full Text: DOI
Wada, D. Russell Closed-loop stability of pharmacokinetic-pharmacodynamic models. (English) Zbl 0889.92011 Math. Biosci. 146, No. 2, 75-88 (1997). MSC: 92C45 92C50 93D10 93C95 PDF BibTeX XML Cite \textit{D. R. Wada}, Math. Biosci. 146, No. 2, 75--88 (1997; Zbl 0889.92011) Full Text: DOI
Haddad, Wassim M.; Chellaboina, Vijaya-Sekhar; Bernstein, Dennis S. Real-\(\mu\) bounds based on fixed shapes in the Nyquist plane: Parabolas, hyperbolas, cissoids, nephroids, and octomorphs. (English) Zbl 0877.93086 Syst. Control Lett. 27, No. 1, 55-66 (1996). MSC: 93D09 93B35 PDF BibTeX XML Cite \textit{W. M. Haddad} et al., Syst. Control Lett. 27, No. 1, 55--66 (1996; Zbl 0877.93086) Full Text: DOI
Llibre, Jaume; Sotomayor, Jorge Phase portraits of planar control systems. (English) Zbl 0858.93037 Nonlinear Anal., Theory Methods Appl. 27, No. 10, 1177-1197 (1996). Reviewer: K.Tchoń (Wrocław) MSC: 93C15 34C25 34C23 34C37 34C20 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{J. Sotomayor}, Nonlinear Anal., Theory Methods Appl. 27, No. 10, 1177--1197 (1996; Zbl 0858.93037) Full Text: DOI
Xie, Lin; Fu, Minyue Finite test of robust strict positive realness. (English) Zbl 0861.93024 Int. J. Control 64, No. 5, 887-897 (1996). Reviewer: M.Voicu (Iaşi) MSC: 93D10 93B35 PDF BibTeX XML Cite \textit{L. Xie} and \textit{M. Fu}, Int. J. Control 64, No. 5, 887--897 (1996; Zbl 0861.93024) Full Text: DOI
Marquez, H. J.; Damaren, C. J. Analysis and synthesis of strictly positive real transfer functions. (English) Zbl 0848.93026 J. Franklin Inst. 333B, No. 2, 245-256 (1996). MSC: 93B50 93D10 93C80 PDF BibTeX XML Cite \textit{H. J. Marquez} and \textit{C. J. Damaren}, J. Franklin Inst. 333B, No. 2, 245--256 (1996; Zbl 0848.93026) Full Text: DOI
Lin, Zongli; Saberi, Ali Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. (English) Zbl 0877.93095 Syst. Control Lett. 24, No. 2, 125-132 (1995). MSC: 93D15 93C55 PDF BibTeX XML Cite \textit{Z. Lin} and \textit{A. Saberi}, Syst. Control Lett. 24, No. 2, 125--132 (1995; Zbl 0877.93095) Full Text: DOI
Haddad, Wassim M.; Bernstein, Dennis S. The octomorphic criterion for real parameter uncertainty: Real\(-\mu\) bounds without circles and D, N-scales. (English) Zbl 0877.93081 Syst. Control Lett. 25, No. 3, 175-183 (1995). MSC: 93D09 93D10 PDF BibTeX XML Cite \textit{W. M. Haddad} and \textit{D. S. Bernstein}, Syst. Control Lett. 25, No. 3, 175--183 (1995; Zbl 0877.93081) Full Text: DOI
Savkin, Andrey V.; Petersen, Ian R. A method for robust stabilization related to the Popov stability criterion. (English) Zbl 0839.93060 Int. J. Control 62, No. 5, 1105-1115 (1995). Reviewer: V.Komkov (Roswell) MSC: 93D10 93E15 93D30 PDF BibTeX XML Cite \textit{A. V. Savkin} and \textit{I. R. Petersen}, Int. J. Control 62, No. 5, 1105--1115 (1995; Zbl 0839.93060) Full Text: DOI
Wigren, Torbjörn Approximate gradients, convergence and positive realness in recursive identification of a class of non-linear systems. (English) Zbl 0834.93058 Int. J. Adapt. Control Signal Process. 9, No. 4, 325-354 (1995). MSC: 93E12 93C10 93C40 PDF BibTeX XML Cite \textit{T. Wigren}, Int. J. Adapt. Control Signal Process. 9, No. 4, 325--354 (1995; Zbl 0834.93058) Full Text: DOI
Bernstein, Dennis S.; Haddad, Wassim M.; Sparks, Andrew G. A Popov criterion for uncertain linear multivariable systems. (English) Zbl 0838.93058 Automatica 31, No. 7, 1061-1064 (1995). Reviewer: M.Megan (Timişoara) MSC: 93D10 93B35 93C80 PDF BibTeX XML Cite \textit{D. S. Bernstein} et al., Automatica 31, No. 7, 1061--1064 (1995; Zbl 0838.93058) Full Text: DOI
Stengel, Robert F.; Ray, Laura R.; Marrison, Christopher I. Probabilistic evaluation of control system robustness. (English) Zbl 0828.93028 Int. J. Syst. Sci. 26, No. 7, 1363-1382 (1995). MSC: 93B51 93B35 93B50 PDF BibTeX XML Cite \textit{R. F. Stengel} et al., Int. J. Syst. Sci. 26, No. 7, 1363--1382 (1995; Zbl 0828.93028) Full Text: DOI
Gu, Keqin Absolute stability of systems under block diagonal memoryless uncertainties. (English) Zbl 0822.93056 Automatica 31, No. 4, 581-584 (1995). MSC: 93D10 93D30 93D09 26A27 PDF BibTeX XML Cite \textit{K. Gu}, Automatica 31, No. 4, 581--584 (1995; Zbl 0822.93056) Full Text: DOI
Haddad, Wassim M.; Kapila, Vikram Discrete-time extensions of mixed-\(\mu\) bounds to monotonic and odd monotonic nonlinearities. (English) Zbl 0817.93057 Int. J. Control 61, No. 2, 423-441 (1995). MSC: 93D10 93C55 93B36 93D30 93B35 PDF BibTeX XML Cite \textit{W. M. Haddad} and \textit{V. Kapila}, Int. J. Control 61, No. 2, 423--441 (1995; Zbl 0817.93057) Full Text: DOI
Saeki, Masami; Araki, Mituhiko Robust stability of large-scale systems which contain time-invariant Lur’e-type uncertainties in subsystems and norm-bounded uncertainties in interconnections. (English) Zbl 0808.93054 Int. J. Robust Nonlinear Control 4, No. 6, 777-789 (1994). MSC: 93D10 93D09 93A15 93C99 PDF BibTeX XML Cite \textit{M. Saeki} and \textit{M. Araki}, Int. J. Robust Nonlinear Control 4, No. 6, 777--789 (1994; Zbl 0808.93054) Full Text: DOI
Haddad, Wassim M.; How, Jonathan P.; Hall, Steven R.; Bernstein, Dennis S. Extensions of mixed-\(\mu\) bounds to monotonic and odd monotonic nonlinearities using absolute stability theory. (English) Zbl 0825.93672 Int. J. Control 60, No. 5, 905-951 (1994). MSC: 93D30 93B50 PDF BibTeX XML Cite \textit{W. M. Haddad} et al., Int. J. Control 60, No. 5, 905--951 (1994; Zbl 0825.93672) Full Text: DOI
Haddad, Wassim M.; Bernstein, Dennis S. Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability. I: Continuous-time theory. (English) Zbl 0794.93095 Int. J. Robust Nonlinear Control 3, No. 4, 313-339 (1993). MSC: 93D30 93D09 93D10 93C99 PDF BibTeX XML Cite \textit{W. M. Haddad} and \textit{D. S. Bernstein}, Int. J. Robust Nonlinear Control 3, No. 4, 313--339 (1993; Zbl 0794.93095) Full Text: DOI
Tsypkin, Ya. Z.; Polyak, B. T. Robust absolute stability of continuous systems. (English) Zbl 0792.93104 Int. J. Robust Nonlinear Control 3, No. 3, 231-239 (1993). MSC: 93D10 93D09 PDF BibTeX XML Cite \textit{Ya. Z. Tsypkin} and \textit{B. T. Polyak}, Int. J. Robust Nonlinear Control 3, No. 3, 231--239 (1993; Zbl 0792.93104) Full Text: DOI
Lin, Zongli; Saberi, Ali Semi-global exponential stabilization of linear systems subject to “input saturation” via linear feedbacks. (English) Zbl 0788.93075 Syst. Control Lett. 21, No. 3, 225-239 (1993). MSC: 93D15 PDF BibTeX XML Cite \textit{Z. Lin} and \textit{A. Saberi}, Syst. Control Lett. 21, No. 3, 225--239 (1993; Zbl 0788.93075) Full Text: DOI