Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems
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[1] W. Martin,et al. Cation exchange between cells and plasma of mammalian blood; methods and application to potassium exchange in human blood. , 1950, The Journal of general physiology.
[2] W. Martin,et al. CATION EXCHANGE BETWEEN CELLS AND PLASMA OF MAMMALIAN BLOOD , 1950, The Journal of general physiology.
[3] J. P. Lasalle. Some Extensions of Liapunov's Second Method , 1960 .
[4] M. Fiedler,et al. On matrices with non-positive off-diagonal elements and positive principal minors , 1962 .
[5] Richard Bellman. Topics in pharmacokinetics I: Concentration-dependent rates , 1970 .
[6] J. Willems. Dissipative dynamical systems part I: General theory , 1972 .
[7] D. Fife,et al. Which linear compartmental systems contain traps , 1972 .
[8] R. Mohler,et al. Biological modeling with variable compartmental structure , 1974 .
[9] John A. Jacquez,et al. Multiple zeros for eigenvalues and the multiplicity of traps of a linear compartmental system , 1975 .
[10] B. F. Doolin,et al. Large scale dynamic systems , 1975 .
[11] J. Willems. Lyapunov Functions for Diagonally Dominant Systems , 1975 .
[12] Chris P. Tsokos,et al. Statistical Modeling of Pharmacokinetic Systems , 1976 .
[13] P. Moylan,et al. The stability of nonlinear dissipative systems , 1976 .
[14] ALPS: matrices with nonpositive off-diagonal entries. [Interrelates various degrees of stability and semipositivity] , 1977 .
[15] Fumihiko Kajiya,et al. Compartmental system analysis: Realization of a class of linear systems with physical constraints , 1977 .
[16] David J. Hill,et al. Stability results for nonlinear feedback systems , 1977, Autom..
[17] C. D. Meyer,et al. Singular M-matrices and inverse positivity , 1978 .
[18] Robert K. Brayton,et al. Stability of dynamical systems: A constructive approach , 1979 .
[19] Y. Ohta,et al. Asymptotic behavior of nonlinear compartmental systems: Nonoscillation and stability , 1978 .
[20] Irwin W. Sandberg,et al. On the mathematical foundations of compartmental analysis in biology, medicine, and ecology , 1978 .
[21] S. Campbell,et al. Singular Perturbation of Autonomous Linear Systems , 1979 .
[22] A. Berman,et al. Nonnegative matrices in dynamic systems , 1979 .
[23] Y. Ohta,et al. Stability criteria for off-diagonally monotone nonlinear dynamical systems , 1980 .
[24] R. E. Funderlic,et al. Solution of Homogeneous Systems of Linear Equations Arising from Compartmental Models , 1981 .
[25] M. Hirsch. Systems of di erential equations which are competitive or cooperative I: limit sets , 1982 .
[26] J. Nieuwenhuis,et al. About nonnegative realizations , 1982 .
[27] David H. Anderson. Compartmental Modeling and Tracer Kinetics , 1983 .
[28] D. Siljak. Complex Dynamic Systems: Dimensionality, Structure and Uncertainty , 1983 .
[29] Keith Godfrey,et al. Compartmental Models and Their Application , 1983 .
[30] Ewart R. Carson,et al. The mathematical modeling of metabolic and endocrine systems : model formulation, identification, and validation , 1983 .
[31] R. Abraham,et al. Manifolds, Tensor Analysis, and Applications , 1983 .
[32] Ralph Abraham. COMPLEX DYNAMICAL SYSTEMS , 1984 .
[33] Y. Ohta,et al. Reachability, Observability, and Realizability of Continuous-Time Positive Systems , 1984 .
[34] J. Jacquez. Compartmental analysis in biology and medicine , 1985 .
[35] Y. Cherruault,et al. Mathematical Modelling in Biomedicine , 1985 .
[36] Charles R. Johnson,et al. Topics in Matrix Analysis , 1991 .
[37] D. Bernstein,et al. Explicit construction of quadratic lyapunov functions for the small gain, positivity, circle, and popov theorems and their application to robust stability. part II: Discrete-time theory , 1993 .
[38] John A. Jacquez,et al. Qualitative Theory of Compartmental Systems , 1993, SIAM Rev..
[39] Hiromasa Haneda,et al. Computer generated Lyapunov functions for a class of nonlinear systems , 1993 .
[40] D. Bernstein,et al. Compartmental modelling and second-moment analysis of state space systems , 1993 .
[41] Robert J. Plemmons,et al. Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.
[42] Stephen P. Boyd,et al. Linear Matrix Inequalities in Systems and Control Theory , 1994 .
[43] M V Makarets,et al. SYSTEMS OF DIFFERENTIAL EQUATIONS , 1995 .
[44] M. Feinberg. The existence and uniqueness of steady states for a class of chemical reaction networks , 1995 .
[45] James P. Keener,et al. Mathematical physiology , 1998 .
[46] E. Yaz. Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.
[47] E. Kaszkurewicz,et al. Matrix diagonal stability in systems and computation , 1999 .
[48] S. Bhat,et al. Lyapunov analysis of semistability , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).
[49] S. Bhat,et al. Nonnegativity, reducibility, and semistability of mass action kinetics , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).
[50] Bernhard Maschke,et al. Dissipative Systems Analysis and Control , 2000 .
[51] W. Haddad,et al. Exponentially dissipative nonlinear dynamical systems: a nonlinear extension of strict positive realness , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).
[52] S. Rinaldi,et al. Positive Linear Systems: Theory and Applications , 2000 .
[53] T. Kaczorek. Positive 1D and 2D Systems , 2001 .