论文信息 - Models for Dynamics - 字舞流文

Models for Dynamics

The purpose of this paper is to give a tutorial exposition of what we consider to be the basic mathematical concepts in the theory of dynamical systems.

Jan C. Willems | J. Willems

[1] R. Kálmán. Irreducible realizations and the degree of a rational matrix. , 1965 .

[2] R. Bellman. Dynamic programming. , 1957, Science.

[3] G. Zames. On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .

[4] Ralph Abraham,et al. Foundations Of Mechanics , 2019 .

[5] M.L.J. Hautus,et al. Controllability and observability conditions of linear autonomous systems , 1969 .

[6] H. Rosenbrock,et al. State-space and multivariable theory, , 1970 .

[7] Jan C. Willems,et al. The Analysis of Feedback Systems , 1971 .

[8] R. Leighton,et al. Feynman Lectures on Physics , 1971 .

[9] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .

[10] Samuel Eilenberg,et al. Automata, languages, and machines. A , 1974, Pure and applied mathematics.

[11] Yasuhiko Takahara,et al. General Systems Theory: Mathematical Foundations , 1975 .

[12] P. Fuhrmann. Linear Systems and Operators in Hilbert Space , 1982 .

[13] J. Willems. Input-output and state-space representations of finite-dimensional linear time-invariant systems , 1983 .

[14] van der,et al. System theoretic description of physical systems , 1984 .

[15] J. Willems,et al. DETERMINISTIC ARMA MODELS , 1986 .