2.4 Solving system of linear equation
2.5 Linear differential equation
2.6 Matrix differential equation
3: Generalized inverse of matrix and solution of linear system equation
3.1 The generalized inverse of matrix
3.2 The full rank decomposition theorem
3.3 The least square solution to an algebraic matrix equation
3.4 The singular value decomposition
4: Polynomial fraction description
4.2 Right polynomial fractions
6: Fundamental approaches to control system analysis
6.1 PMD theory of linear multivariable control systems
6.2 Behavioral approach in systems theory
6.3 Chain-scattering representations
7: Determination of finite and infinite frequency structure of a rational matrix
7.2 The Toeplitz rank information
7.3 To determine the Smith form of a polynomial matrix
7.4 To determine the Smith-McMillan form at infinity of a rational matrix
7.5 To determine the Smith-McMillan form of a rational matrix
8: The solution of a regular PMD and the set of impulsive free initial conditions
8.3 A solution for the LNHMDEs
9.3 The solution of regular PMDs
10.2 The frequency structures of generalized companion form and a new resolvent decomposition
10.3 Application to the solution of regular PMDs
11: A generalized chain-scattering representation and its algebraic system properties
11.2 Input-output consistency and GCSR
11.3 Algebraic system properties of GCSR and DGCSR
11.4 Realizations of GCSR and DGCSR
12.3 Realization of behavior for GCSRs and DGCSRs
13: Related extensions to system well-posedness and internal stability
13.3 Further characterizations of externally internal well-posedness
14: Nonstandard H∞ control problem: A generalized chain-scattering representation approach
14.3 Solvability of nonstandard control problem
15: Internet congestion control: A linear multivariable control look
15.1 The basic model of Internet congestion control
15.2 Internet congestion control: A multivariable control look
15.3 Padé approximations to the system (15.7) and (15.8)
15.4 Analyses into system structure of congestion control of a simple network in frequency domain
15.5 Conclusions and further discussions
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