Stability theory for differential/algebraic systems with application to power systems

David J. Hill, Iven Mareels

Type: Article

Publication Date: 1990-01-01

Citations: 287

DOI: https://doi.org/10.1109/31.62415

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Locations

IEEE Transactions on Circuits and Systems - View

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+	Feedback control of fractional nonlinear differential algebraic systems with Hamiltonian function method	2007	Li Li Fajun Yu Xiaodong Liu
+	ON SOME DISSIPATIVITY PROPERTIES OF A CLASS OF POWER SYSTEM MODELS	2007	Alvaro Giusto
+	On the Dynamics of Differential-Algebraic Systems Such as the Balanced Large Electric Power System	1995	V. Venkatasubramanian Heinz Schättler J. Zaborszky
+	Convergence of parallel dynamic iteration methods for nonlinear DAEs of index-2	2006	Wei Sun Jianhua Zou Wei Sun Xiaoguang Fan
+	Decentralized stabilization of singular and time-delay large-scale control systems with impulsive solutions	1995	Zhi‐Hong Guan Yongqing Liu Wen Xiangcai
+	Approximation method for singular LQ problem for a class of singular systems with time-delay	2008	Bao-Lin Zhang Mingqu Fan
+	Variation of the parameters formula and the problem of BIBO for singular measure differential systems with impulse effect	1994	Zhi‐Hong Guan Wen Xiangcai Yongqing Liu
+	On the spectral operator of Dynamic Iteration algorithms for Dynamical Systems	2006	Wei Sun Jianhua Zou Wei Sun Xiaoguang Fan
+	Stability theory of differential/algebraic models of power systems	1993	David J. Hill Ian A. Hiskens Iven Mareels
+	Effect of Large Disturbances on the Local Behavior of Nonlinear Physically Interconnected Systems	2013	Herbert Mangesius

Works Cited by This (11)

Action	Title	Year	Authors
+	Solutions of singular constrained differential equations: A generalization of circuits containing capacitor-only loops and inductor-only cutsets	1984	Börje Häggman Peter Bryant
+	Differential Equations, Dynamical Systems, and Linear Algebra	1974	Morris W. Hirsch Stephen T. Smale
+	Lyapunov functions of lur'e-postnikov form for structure preserving models of power systems	1989	David J. Hill Chee-Yee Chong
+	Constrained equations; a study of implicit differential equations and their discontinuous solutions	1976	Floris Takens
+	Stability theory of differential/algebraic models of power systems	1993	David J. Hill Ian A. Hiskens Iven Mareels
+	A local implicit function theorem and application to systems of differential equations	1985	Václav Doležal Shiva Shankar
+	Energy functions, transient stability and voltage behaviour in power systems with nonlinear loads	1989	Ian A. Hiskens David J. Hill
+	On the equilibria of power systems with nonlinear loads	1989	David J. Hill
+	On Differential/Algebraic Systems	1986	Sven Erik Mattsson
+	Stability Theory by Liapunov’s Direct Method	1977	N. Rouche Patrick Habets M. Laloy